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

Time bar (total: 7.7s)

analyze42.0ms (0.5%)

Memory
3.8MiB live, 120.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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)

sample789.0ms (10.2%)

Memory
-0.6MiB live, 1 269.0MiB allocated
Samples
555.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-sub: 124.0ms (38.8% of total)
ival-mult: 121.0ms (37.8% of total)
ival-div: 59.0ms (18.4% of total)
exact: 7.0ms (2.2% of total)
ival-true: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess295.0ms (3.8%)

Memory
-15.6MiB live, 223.9MiB allocated
Algorithm
2×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
1×iter limit
1×saturated
1×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)))

explain296.0ms (3.8%)

Memory
16.6MiB live, 153.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-z
00-0-#s(literal 4 binary64)
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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)o/n10
↳(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
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 (38.5% of total)
ival-sub: 5.0ms (32.1% of total)
ival-div: 3.0ms (19.2% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Memory
-36.7MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.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)

simplify229.0ms (3%)

Memory
15.8MiB live, 212.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
✓cost-diff128
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
✓cost-diff320
(/.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
1×iter limit
1×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)))
(*.f64 #s(literal 4 binary64) (-.f64 x (fma.f64 z #s(literal 1/2 binary64) y)))
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)
(*.f64 z #s(literal 1/2 binary64))
z
1/2
#s(literal 1/2 binary64)

localize27.0ms (0.3%)

Memory
26.2MiB live, 64.6MiB 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))))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Samples
16.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

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

series16.0ms (0.2%)

Memory
-12.5MiB live, 26.4MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (/ (* 4 (- (- x y) (* z 1/2))) z)>
#<alt (- (- x y) (* z 1/2))>
#<alt (* 4 (- (- x y) (* z 1/2)))>
#<alt (- x y)>
#<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 (* -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 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 (* 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
5.0ms
x
@inf
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
x
@0
(- x y)
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
@0
(/ (* 4 (- (- x y) (* z 1/2))) z)

rewrite492.0ms (6.4%)

Memory
-11.1MiB live, 506.0MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
Counts
5 → 338
Calls
Call 1
Inputs
(/ (* 4 (- (- x y) (* z 1/2))) z)
(- (- x y) (* z 1/2))
(* 4 (- (- x y) (* z 1/2)))
(- x y)
(* 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) (neg.f64 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)) (neg.f64 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 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (neg.f64 y) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)))) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 (*.f64 y y) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) x) (*.f64 x x))))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (+.f64 x y) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (-.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)

simplify454.0ms (5.9%)

Memory
-7.5MiB live, 451.6MiB allocated
Algorithm
1×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
33256885
08216800
Stop Event
1×iter limit
1×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)))))
(* -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 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)))))
(* 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))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #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 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64))) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y) #s(literal -2 binary64))
(* -1 (+ y (* 1/2 z)))
(-.f64 (*.f64 z #s(literal -1/2 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)
(neg.f64 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)
(neg.f64 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)
(*.f64 z #s(literal -1/2 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)
(*.f64 z #s(literal -1/2 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))
(* -4 (+ y (* 1/2 z)))
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 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 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 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 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 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 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* 4 (- x y))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* z (- (* 4 (/ (- x y) z)) 2))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -1 y)
(neg.f64 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)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 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)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)

eval135.0ms (1.7%)

Memory
18.3MiB live, 129.0MiB allocated
Compiler

Compiled 12 311 to 1 351 computations (89% saved)

prune126.0ms (1.6%)

Memory
-15.6MiB live, 106.9MiB 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
▶68.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
54.6%
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
64.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
▶33.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
▶34.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
▶68.9%
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
▶37.1%
#s(literal -2 binary64)
Compiler

Compiled 150 to 104 computations (30.7% saved)

simplify24.0ms (0.3%)

Memory
-12.9MiB live, 26.0MiB allocated
Algorithm
1×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-diff0
(*.f64 #s(literal 4 binary64) x)
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓cost-diff0
(*.f64 #s(literal -4 binary64) y)
✓cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓cost-diff0
(/.f64 #s(literal 4 binary64) z)
✓cost-diff0
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
✓cost-diff128
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
Rules
136×accelerator-lowering-fma.f32
136×accelerator-lowering-fma.f64
96×*-lowering-*.f32
96×*-lowering-*.f64
80×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01859
13558
26458
39558
413158
516958
620358
722158
825858
926758
1026958
026955
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(neg (+ (* y (/ 4 z)) 2))
(+ (* y (/ 4 z)) 2)
y
(/ 4 z)
4
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
(neg (+ (* y (/ 4 z)) 2))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(+ (* y (/ 4 z)) 2)
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
y
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
z
2
#s(literal 2 binary64)
-2
#s(literal -2 binary64)
(/ (* -4 y) z)
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(* -4 y)
(*.f64 y #s(literal -4 binary64))
-4
#s(literal -4 binary64)
y
z
(/ (* 4 x) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
z
(+ (* 4 (/ x z)) -2)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
4
#s(literal 4 binary64)
(/ x z)
(/.f64 x z)
x
z
-2
#s(literal -2 binary64)

localize110.0ms (1.4%)

Memory
34.0MiB live, 74.5MiB 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 #s(literal 4 binary64) x)
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓accuracy100.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) z)
✓accuracy100.0%
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
✓accuracy99.9%
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
Samples
29.0ms256×0valid
Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.2% of total)
ival-mult: 6.0ms (35.3% of total)
ival-add: 2.0ms (11.8% of total)
ival-neg: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-9.6MiB live, 28.8MiB allocated
Counts
9 → 180
Calls
Call 1
Inputs
#<alt (neg (+ (* y (/ 4 z)) 2))>
#<alt (+ (* y (/ 4 z)) 2)>
#<alt (/ 4 z)>
#<alt (/ (* -4 y) z)>
#<alt (* -4 y)>
#<alt (/ (* 4 x) z)>
#<alt (* 4 x)>
#<alt (+ (* 4 (/ x z)) -2)>
#<alt (/ x z)>
Outputs
#<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 (/ (- (* -2 z) (* 4 y)) z)>
#<alt (/ (- (* -2 z) (* 4 y)) z)>
#<alt (/ (- (* -2 z) (* 4 y)) 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 2>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (* 4 (/ y z))>
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))>
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))>
#<alt (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))>
#<alt (* 4 (/ y z))>
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))>
#<alt (* 4 (/ y z))>
#<alt (/ (+ (* 2 z) (* 4 y)) z)>
#<alt (/ (+ (* 2 z) (* 4 y)) z)>
#<alt (/ (+ (* 2 z) (* 4 y)) z)>
#<alt 2>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt 2>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y z)))>
#<alt (+ 2 (* 4 (/ y 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 (* -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

45 calls:

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

rewrite338.0ms (4.4%)

Memory
14.4MiB live, 608.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 562×accelerator-lowering-fma.f32
5 562×accelerator-lowering-fma.f64
4 578×*-lowering-*.f32
4 578×*-lowering-*.f64
2 582×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
18543
256543
3599743
0813640
Stop Event
1×iter limit
1×node limit
Counts
9 → 463
Calls
Call 1
Inputs
(neg (+ (* y (/ 4 z)) 2))
(+ (* y (/ 4 z)) 2)
(/ 4 z)
(/ (* -4 y) z)
(* -4 y)
(/ (* 4 x) z)
(* 4 x)
(+ (* 4 (/ x z)) -2)
(/ x z)
Outputs
(+.f64 (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 y z)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) #s(literal -2 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)) (*.f64 z z)))) (/.f64 #s(literal -4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(-.f64 #s(literal -2 binary64) (*.f64 y (/.f64 #s(literal 4 binary64) z)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
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(neg.f64 (/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 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 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) x) z)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 x z) #s(literal 9 binary64)) #s(literal -512 binary64)) (*.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal -8 binary64)) (*.f64 z (*.f64 z z)))))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -64 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 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -64 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x x)) #s(literal 64 binary64) #s(literal 16 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) x) z)))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) #s(literal -16 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))))) (neg.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) x) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) #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)))
(/.f64 (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 (/.f64 x z) #s(literal 9 binary64)) #s(literal -512 binary64)) (/.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 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 64 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal -8 binary64)) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -64 binary64)) (/.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)))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal 8 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 x x)) #s(literal 64 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64)))) (+.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) x) z)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (/.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))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.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 8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x z) (-.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))))
(*.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.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))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal 2 binary64))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) x) z))))
(*.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (+.f64 #s(literal -4 binary64) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)))) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal -8 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (*.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)))))) (fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (*.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 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.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 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (/.f64 x z) #s(literal 8 binary64) #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.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 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.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 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(neg.f64 (/.f64 (neg.f64 x) z))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 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 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 z))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (neg.f64 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 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x z) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))

simplify198.0ms (2.6%)

Memory
-14.4MiB live, 182.9MiB allocated
Algorithm
1×egg-herbie
Rules
1 104×accelerator-lowering-fma.f32
1 104×accelerator-lowering-fma.f64
720×*-lowering-*.f32
720×*-lowering-*.f64
464×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046852
1109852
2257852
3569852
4934852
51389852
62051852
72419852
82820852
92865852
102872852
112873852
02873798
Stop Event
1×iter limit
1×saturated
Counts
180 → 180
Calls
Call 1
Inputs
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* -4 (/ y z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* -4 (/ y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(/ (- (* -2 z) (* 4 y)) z)
(/ (- (* -2 z) (* 4 y)) z)
(/ (- (* -2 z) (* 4 y)) z)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
-2
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
2
(+ 2 (* 4 (/ y z)))
(+ 2 (* 4 (/ y z)))
(+ 2 (* 4 (/ y z)))
(* 4 (/ y z))
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(* 4 (/ y z))
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))
(* 4 (/ y z))
(/ (+ (* 2 z) (* 4 y)) z)
(/ (+ (* 2 z) (* 4 y)) z)
(/ (+ (* 2 z) (* 4 y)) z)
2
(+ 2 (* 4 (/ y z)))
(+ 2 (* 4 (/ y z)))
(+ 2 (* 4 (/ y z)))
2
(+ 2 (* 4 (/ y z)))
(+ 2 (* 4 (/ y z)))
(+ 2 (* 4 (/ y z)))
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(/ 4 z)
(* -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
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/ (- (* -2 z) (* 4 y)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/ (- (* -2 z) (* 4 y)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/ (- (* -2 z) (* 4 y)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(* 4 (/ y z))
(/.f64 (*.f64 y #s(literal 4 binary64)) z)
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z))))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(* 4 (/ y z))
(/.f64 (*.f64 y #s(literal 4 binary64)) z)
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y))))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(* 4 (/ y z))
(/.f64 (*.f64 y #s(literal 4 binary64)) z)
(/ (+ (* 2 z) (* 4 y)) z)
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(/ (+ (* 2 z) (* 4 y)) z)
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(/ (+ (* 2 z) (* 4 y)) z)
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(+ 2 (* 4 (/ y z)))
(fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
-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))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 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))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -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))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(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))
-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)

eval108.0ms (1.4%)

Memory
-4.4MiB live, 163.3MiB allocated
Compiler

Compiled 10 029 to 1 019 computations (89.8% saved)

prune99.0ms (1.3%)

Memory
-14.2MiB live, 141.8MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New6403643
Fresh022
Picked145
Done000
Total6419650
Accuracy
100.0%
Counts
650 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶69.0%
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
✓68.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
▶54.6%
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
▶64.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓33.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓34.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
▶33.7%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
▶33.9%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓37.1%
#s(literal -2 binary64)
Compiler

Compiled 151 to 103 computations (31.8% saved)

simplify291.0ms (3.8%)

Memory
12.6MiB live, 452.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
✓cost-diff192
(*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64))))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 x y))
✓cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓cost-diff0
(/.f64 #s(literal 4 binary64) z)
✓cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
✓cost-diff0
(/.f64 #s(literal -4 binary64) z)
✓cost-diff0
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
Rules
8 690×accelerator-lowering-fma.f32
8 690×accelerator-lowering-fma.f64
3 276×--lowering--.f32
3 276×--lowering--.f64
2 596×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027141
170141
2150139
3323137
4771137
52684135
66145135
08066130
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (/ y z) -4) -2)
(/ y z)
y
z
-4
-2
(* (/ -4 z) y)
(/ -4 z)
-4
z
y
(* (/ 4 z) x)
(/ 4 z)
4
z
x
(/ (* 4 (- x y)) z)
(* 4 (- x y))
4
(- x y)
x
y
z
(/ (* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4))) (* z (+ (* z 1/2) (- x y))))
(* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4)))
4
(+ (* (- x y) (- x y)) (* (* z z) -1/4))
(- x y)
x
y
(* (* z z) -1/4)
(* z z)
z
-1/4
(* z (+ (* z 1/2) (- x y)))
(+ (* z 1/2) (- x y))
1/2
Outputs
(+ (* (/ y z) -4) -2)
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(/ y z)
(/.f64 y z)
y
z
-4
#s(literal -4 binary64)
-2
#s(literal -2 binary64)
(* (/ -4 z) y)
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
-4
#s(literal -4 binary64)
z
y
(* (/ 4 z) x)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
z
x
(/ (* 4 (- x y)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (- x y))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
4
#s(literal 4 binary64)
(- x y)
(-.f64 x y)
x
y
z
(/ (* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4))) (* z (+ (* z 1/2) (- x y))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z)) (*.f64 z (-.f64 x (fma.f64 z #s(literal -1/2 binary64) y))))
(* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 z z))
4
#s(literal 4 binary64)
(+ (* (- x y) (- x y)) (* (* z z) -1/4))
(fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (-.f64 x y) (-.f64 x y)))
(- x y)
(-.f64 x y)
x
y
(* (* z z) -1/4)
(*.f64 z (*.f64 z #s(literal -1/4 binary64)))
(* z z)
(*.f64 z z)
z
-1/4
#s(literal -1/4 binary64)
(* z (+ (* z 1/2) (- x y)))
(*.f64 z (-.f64 x (fma.f64 z #s(literal -1/2 binary64) y)))
(+ (* z 1/2) (- x y))
(-.f64 x (fma.f64 z #s(literal -1/2 binary64) y))
1/2
#s(literal 1/2 binary64)

localize82.0ms (1.1%)

Memory
4.6MiB live, 196.0MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y)))
✓accuracy99.7%
(*.f64 (*.f64 z z) #s(literal -1/4 binary64))
✓accuracy93.7%
(fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))
✓accuracy55.1%
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x y))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓accuracy100.0%
(/.f64 #s(literal 4 binary64) z)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
✓accuracy100.0%
(/.f64 #s(literal -4 binary64) z)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓accuracy100.0%
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y z)
Samples
51.0ms256×0valid
Compiler

Compiled 136 to 29 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 18.0ms (54% of total)
ival-div: 10.0ms (30% of total)
ival-add: 3.0ms (9% of total)
ival-sub: 1.0ms (3% of total)
exact: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
9.5MiB live, 82.2MiB allocated
Counts
14 → 360
Calls
Call 1
Inputs
#<alt (+ (* (/ y z) -4) -2)>
#<alt (/ y z)>
#<alt (* (/ -4 z) y)>
#<alt (/ -4 z)>
#<alt (* (/ 4 z) x)>
#<alt (/ 4 z)>
#<alt (/ (* 4 (- x y)) z)>
#<alt (* 4 (- x y))>
#<alt (- x y)>
#<alt (* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4)))>
#<alt (/ (* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4))) (* z (+ (* z 1/2) (- x y))))>
#<alt (+ (* (- x y) (- x y)) (* (* z z) -1/4))>
#<alt (* (* z z) -1/4)>
#<alt (* z (+ (* z 1/2) (- x y)))>
Outputs
#<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 (/ 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 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 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 (/ 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 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)) (* 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 (* -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 (* -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 (+ (* -1/4 (pow z 2)) (pow y 2)))>
#<alt (+ (* -8 (* x y)) (* 4 (+ (* -1/4 (pow z 2)) (pow y 2))))>
#<alt (+ (* 4 (+ (* -1/4 (pow z 2)) (pow y 2))) (* x (+ (* -8 y) (* 4 x))))>
#<alt (+ (* 4 (+ (* -1/4 (pow z 2)) (pow y 2))) (* x (+ (* -8 y) (* 4 x))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -8 (/ y x))))>
#<alt (* (pow x 2) (+ 4 (+ (* -8 (/ y x)) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (pow x 2))))))>
#<alt (* (pow x 2) (+ 4 (+ (* -8 (/ y x)) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (pow x 2))))))>
#<alt (* 4 (pow x 2))>
#<alt (* (pow x 2) (+ 4 (* -8 (/ y x))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 8 y)) x))))>
#<alt (* (pow x 2) (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 8 y)) x))))>
#<alt (* 4 (+ (* -1/4 (pow z 2)) (pow x 2)))>
#<alt (+ (* -8 (* x y)) (* 4 (+ (* -1/4 (pow z 2)) (pow x 2))))>
#<alt (+ (* 4 (+ (* -1/4 (pow z 2)) (pow x 2))) (* y (+ (* -8 x) (* 4 y))))>
#<alt (+ (* 4 (+ (* -1/4 (pow z 2)) (pow x 2))) (* y (+ (* -8 x) (* 4 y))))>
#<alt (* 4 (pow y 2))>
#<alt (* (pow y 2) (+ 4 (* -8 (/ x y))))>
#<alt (* (pow y 2) (+ 4 (+ (* -8 (/ x y)) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (pow y 2))))))>
#<alt (* (pow y 2) (+ 4 (+ (* -8 (/ x y)) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (pow y 2))))))>
#<alt (* 4 (pow y 2))>
#<alt (* (pow y 2) (+ 4 (* -8 (/ x y))))>
#<alt (* (pow y 2) (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) y)) (* 8 x)) y))))>
#<alt (* (pow y 2) (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) y)) (* 8 x)) y))))>
#<alt (* 4 (pow (- x y) 2))>
#<alt (+ (* -1 (pow z 2)) (* 4 (pow (- x y) 2)))>
#<alt (+ (* -1 (pow z 2)) (* 4 (pow (- x y) 2)))>
#<alt (+ (* -1 (pow z 2)) (* 4 (pow (- x y) 2)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* 4 (/ (pow (- x y) 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 4 (/ (pow (- x y) 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 4 (/ (pow (- x y) 2) (pow z 2))) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (* 4 (/ (pow (- x y) 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 4 (/ (pow (- x y) 2) (pow z 2))) 1))>
#<alt (* (pow z 2) (- (* 4 (/ (pow (- x y) 2) (pow z 2))) 1))>
#<alt (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (* z (- (* 1/2 z) y))))>
#<alt (+ (* 4 (* x (- (* -2 (/ y (* z (- (* 1/2 z) y)))) (+ (* -1/4 (/ z (pow (- (* 1/2 z) y) 2))) (/ (pow y 2) (* z (pow (- (* 1/2 z) y) 2))))))) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (* z (- (* 1/2 z) y)))))>
#<alt (+ (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (* z (- (* 1/2 z) y)))) (* x (+ (* 4 (* x (- (+ (* -1/4 (/ z (pow (- (* 1/2 z) y) 3))) (+ (/ 1 (* z (- (* 1/2 z) y))) (/ (pow y 2) (* z (pow (- (* 1/2 z) y) 3))))) (* -2 (/ y (* z (pow (- (* 1/2 z) y) 2))))))) (* 4 (- (* -2 (/ y (* z (- (* 1/2 z) y)))) (+ (* -1/4 (/ z (pow (- (* 1/2 z) y) 2))) (/ (pow y 2) (* z (pow (- (* 1/2 z) y) 2)))))))))>
#<alt (+ (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (* z (- (* 1/2 z) y)))) (* x (+ (* 4 (- (* -2 (/ y (* z (- (* 1/2 z) y)))) (+ (* -1/4 (/ z (pow (- (* 1/2 z) y) 2))) (/ (pow y 2) (* z (pow (- (* 1/2 z) y) 2)))))) (* x (+ (* 4 (* x (- (* -2 (/ y (* z (pow (- (* 1/2 z) y) 3)))) (+ (* -1/4 (/ z (pow (- (* 1/2 z) y) 4))) (+ (/ 1 (* z (pow (- (* 1/2 z) y) 2))) (/ (pow y 2) (* z (pow (- (* 1/2 z) y) 4)))))))) (* 4 (- (+ (* -1/4 (/ z (pow (- (* 1/2 z) y) 3))) (+ (/ 1 (* z (- (* 1/2 z) y))) (/ (pow y 2) (* z (pow (- (* 1/2 z) y) 3))))) (* -2 (/ y (* z (pow (- (* 1/2 z) y) 2)))))))))))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* 4 (/ (- (+ (* -2 (/ y z)) (/ y z)) 1/2) x)) (* 4 (/ 1 z))))>
#<alt (* x (+ (* 4 (/ (- (+ (* -2 (/ y z)) (/ y z)) 1/2) x)) (+ (* 4 (/ (- (+ (* -1/4 z) (/ (pow y 2) z)) (* (- (* 1/2 z) y) (- (+ (* -2 (/ y z)) (/ y z)) 1/2))) (pow x 2))) (* 4 (/ 1 z)))))>
#<alt (* x (+ (* -4 (/ (* (- (* 1/2 z) y) (- (+ (* -1/4 z) (/ (pow y 2) z)) (* (- (* 1/2 z) y) (- (+ (* -2 (/ y z)) (/ y z)) 1/2)))) (pow x 3))) (+ (* 4 (/ (- (+ (* -2 (/ y z)) (/ y z)) 1/2) x)) (+ (* 4 (/ (- (+ (* -1/4 z) (/ (pow y 2) z)) (* (- (* 1/2 z) y) (- (+ (* -2 (/ y z)) (/ y z)) 1/2))) (pow x 2))) (* 4 (/ 1 z))))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -4 (/ (- (+ (* -2 (/ y z)) (/ y z)) 1/2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 (/ (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) z)) (* -1 (* (- (* 1/2 z) y) (- (+ (* -2 (/ y z)) (/ y z)) 1/2)))) x)) (* 4 (- (+ (* -2 (/ y z)) (/ y z)) 1/2))) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) z)) (* -1 (* (- (* 1/2 z) y) (- (+ (* -2 (/ y z)) (/ y z)) 1/2)))) (- (* 1/2 z) y)) x)) (* 4 (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) z)) (* -1 (* (- (* 1/2 z) y) (- (+ (* -2 (/ y z)) (/ y z)) 1/2)))))) x)) (* 4 (- (+ (* -2 (/ y z)) (/ y z)) 1/2))) x)) (* 4 (/ 1 z)))))>
#<alt (* 4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (+ x (* 1/2 z)))))>
#<alt (+ (* 4 (* y (- (* -2 (/ x (* z (+ x (* 1/2 z))))) (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (pow (+ x (* 1/2 z)) 2))))))) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (+ x (* 1/2 z))))))>
#<alt (+ (* 4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (+ x (* 1/2 z))))) (* y (+ (* 4 (* y (- (/ 1 (* z (+ x (* 1/2 z)))) (* -1 (/ (- (* -2 (/ x (* z (+ x (* 1/2 z))))) (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (pow (+ x (* 1/2 z)) 2))))) (+ x (* 1/2 z))))))) (* 4 (- (* -2 (/ x (* z (+ x (* 1/2 z))))) (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (pow (+ x (* 1/2 z)) 2)))))))))>
#<alt (+ (* 4 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (+ x (* 1/2 z))))) (* y (+ (* 4 (- (* -2 (/ x (* z (+ x (* 1/2 z))))) (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (pow (+ x (* 1/2 z)) 2)))))) (* y (+ (* 4 (- (/ 1 (* z (+ x (* 1/2 z)))) (* -1 (/ (- (* -2 (/ x (* z (+ x (* 1/2 z))))) (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (pow (+ x (* 1/2 z)) 2))))) (+ x (* 1/2 z)))))) (* 4 (/ (* y (- (/ 1 (* z (+ x (* 1/2 z)))) (* -1 (/ (- (* -2 (/ x (* z (+ x (* 1/2 z))))) (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) (* z (pow (+ x (* 1/2 z)) 2))))) (+ x (* 1/2 z)))))) (+ x (* 1/2 z)))))))))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ (- (* 2 (/ x z)) (+ 1/2 (/ x z))) y)) (* 4 (/ 1 z))))>
#<alt (* y (- (+ (* 4 (/ (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) z)) (* -1 (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z)))))) (pow y 2))) (* 4 (/ (- (* 2 (/ x z)) (+ 1/2 (/ x z))) y))) (* 4 (/ 1 z))))>
#<alt (* y (- (+ (* 4 (/ (* (+ x (* 1/2 z)) (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) z)) (* -1 (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z))))))) (pow y 3))) (+ (* 4 (/ (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) z)) (* -1 (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z)))))) (pow y 2))) (* 4 (/ (- (* 2 (/ x z)) (+ 1/2 (/ x z))) y)))) (* 4 (/ 1 z))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -4 (/ (- (* 2 (/ x z)) (+ 1/2 (/ x z))) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (- (+ (* -1/4 z) (/ (pow x 2) z)) (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z))))) y)) (* 4 (- (* 2 (/ x z)) (+ 1/2 (/ x z))))) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (- (+ (* -1/4 z) (/ (pow x 2) z)) (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z)))))) (* 4 (/ (* (+ x (* 1/2 z)) (- (+ (* -1/4 z) (/ (pow x 2) z)) (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z)))))) y))) y)) (* 4 (- (* 2 (/ x z)) (+ 1/2 (/ x z))))) 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 (+ (* -1/4 (pow z 2)) (pow y 2))>
#<alt (+ (* -2 (* x y)) (+ (* -1/4 (pow z 2)) (pow y 2)))>
#<alt (+ (* -1/4 (pow z 2)) (+ (* x (+ x (* -2 y))) (pow y 2)))>
#<alt (+ (* -1/4 (pow z 2)) (+ (* x (+ x (* -2 y))) (pow y 2)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -2 (/ y x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 2 y)) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 2 y)) x))))>
#<alt (+ (* -1/4 (pow z 2)) (pow x 2))>
#<alt (+ (* -2 (* x y)) (+ (* -1/4 (pow z 2)) (pow x 2)))>
#<alt (+ (* -1/4 (pow z 2)) (+ (* y (+ y (* -2 x))) (pow x 2)))>
#<alt (+ (* -1/4 (pow z 2)) (+ (* y (+ y (* -2 x))) (pow x 2)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))>
#<alt (* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* -2 (/ x y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) y)) (* 2 x)) y))))>
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) y)) (* 2 x)) y))))>
#<alt (pow (- x y) 2)>
#<alt (+ (* -1/4 (pow z 2)) (pow (- x y) 2))>
#<alt (+ (* -1/4 (pow z 2)) (pow (- x y) 2))>
#<alt (+ (* -1/4 (pow z 2)) (pow (- x y) 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))>
#<alt (* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))>
#<alt (* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))>
#<alt (* -1/4 (pow z 2))>
#<alt (* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))>
#<alt (* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))>
#<alt (* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* -1/4 (pow z 2))>
#<alt (* z (- x y))>
#<alt (* z (- (+ x (* 1/2 z)) y))>
#<alt (* z (- (+ x (* 1/2 z)) y))>
#<alt (* z (- (+ x (* 1/2 z)) y))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))>
#<alt (* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))>
#<alt (* z (- (* 1/2 z) y))>
#<alt (+ (* x z) (* z (- (* 1/2 z) y)))>
#<alt (+ (* x z) (* z (- (* 1/2 z) y)))>
#<alt (+ (* x z) (* z (- (* 1/2 z) y)))>
#<alt (* x z)>
#<alt (* x (+ z (/ (* z (- (* 1/2 z) y)) x)))>
#<alt (* x (+ z (/ (* z (- (* 1/2 z) y)) x)))>
#<alt (* x (+ z (/ (* z (- (* 1/2 z) y)) x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))>
#<alt (* z (+ x (* 1/2 z)))>
#<alt (+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))>
#<alt (+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))>
#<alt (+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))>
#<alt (* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))>
#<alt (* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))>
Calls

90 calls:

TimeVariablePointExpression
5.0ms
y
@inf
(* z (+ (* z 1/2) (- x y)))
5.0ms
y
@inf
(* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4)))
3.0ms
x
@0
(/ (* 4 (- x y)) z)
1.0ms
x
@0
(/ (* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4))) (* z (+ (* z 1/2) (- x y))))
1.0ms
y
@0
(/ (* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4))) (* z (+ (* z 1/2) (- x y))))

rewrite450.0ms (5.8%)

Memory
-6.2MiB live, 601.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 448×accelerator-lowering-fma.f32
8 448×accelerator-lowering-fma.f64
5 522×*-lowering-*.f32
5 522×*-lowering-*.f64
3 608×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027102
1151102
2116389
0888884
Stop Event
1×iter limit
1×node limit
Counts
14 → 693
Calls
Call 1
Inputs
(+ (* (/ y z) -4) -2)
(/ y z)
(* (/ -4 z) y)
(/ -4 z)
(* (/ 4 z) x)
(/ 4 z)
(/ (* 4 (- x y)) z)
(* 4 (- x y))
(- x y)
(* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4)))
(/ (* 4 (+ (* (- x y) (- x y)) (* (* z z) -1/4))) (* z (+ (* z 1/2) (- x y))))
(+ (* (- x y) (- x y)) (* (* z z) -1/4))
(* (* z z) -1/4)
(* z (+ (* z 1/2) (- x y)))
Outputs
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (-.f64 #s(literal -2 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (neg.f64 y) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -1/4 binary64)) #s(literal -2 binary64))
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64)) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y z) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64)) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y z) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64))) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y z) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))))
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.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 y (*.f64 z #s(literal -1/4 binary64)))) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y z) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64))) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) (-.f64 #s(literal -2 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (*.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y z) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64)))) (neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal -2 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y z) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))))))
(*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 y z) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 y z)) #s(literal 8 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y z) #s(literal -8 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)))))))
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(neg.f64 (/.f64 (neg.f64 y) z))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(/.f64 y z)
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simplify494.0ms (6.4%)

Memory
25.6MiB live, 776.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 370×accelerator-lowering-fma.f32
10 370×accelerator-lowering-fma.f64
5 362×*-lowering-*.f32
5 362×*-lowering-*.f64
4 650×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04224152
113124059
242243896
085193646
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
-2
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(* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))
(* z (+ x (* 1/2 z)))
(+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))
(+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))
(+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))
(* -1 (* y z))
(* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))
(* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))
(* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))
(* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))
(* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))
Outputs
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 #s(literal -4 binary64) y)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 #s(literal -4 binary64) y)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/.f64 (fma.f64 #s(literal -2 binary64) z (*.f64 #s(literal -4 binary64) y)) z)
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/ 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 z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (/.f64 (*.f64 #s(literal 4 binary64) x) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (/.f64 (*.f64 #s(literal 4 binary64) x) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (/.f64 (*.f64 #s(literal 4 binary64) x) z))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 4 binary64) z)))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 4 binary64) z)))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y (*.f64 z x)) (/.f64 #s(literal 4 binary64) z)))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(neg.f64 (*.f64 x (*.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 y x)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(neg.f64 (*.f64 x (*.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 y x)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(neg.f64 (*.f64 x (*.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 y x)))))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (/.f64 (*.f64 #s(literal 4 binary64) x) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (/.f64 (*.f64 #s(literal 4 binary64) x) z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (/.f64 (*.f64 #s(literal 4 binary64) x) z))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 y (*.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 y (*.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 y (*.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 x y))))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) z)) (neg.f64 y))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) z)) (neg.f64 y))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (*.f64 y z)) (/.f64 #s(literal 4 binary64) z)) (neg.f64 y))
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) #s(literal 4 binary64)))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) #s(literal 4 binary64)))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 y x) #s(literal 4 binary64)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) x) #s(literal -4 binary64)) (neg.f64 x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) x) #s(literal -4 binary64)) (neg.f64 x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) x) #s(literal -4 binary64)) (neg.f64 x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal 4 binary64) (-.f64 x y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ x y)) 4))
(*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))
(* y (- (* 4 (/ x y)) 4))
(*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))
(* y (- (* 4 (/ x y)) 4))
(*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 4 binary64))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 4 binary64))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 x y) #s(literal 4 binary64))))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (*.f64 (/.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (*.f64 (/.f64 y x) x))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x (*.f64 (/.f64 y x) x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (*.f64 (/.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (*.f64 (/.f64 y x) x))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x (*.f64 (/.f64 y x) x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* y (- (/ x y) 1))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 (/.f64 (*.f64 y x) y) y)
(* 4 (+ (* -1/4 (pow z 2)) (pow y 2)))
(-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z))
(+ (* -8 (* x y)) (* 4 (+ (* -1/4 (pow z 2)) (pow y 2))))
(-.f64 (*.f64 y (fma.f64 y #s(literal 4 binary64) (*.f64 x #s(literal -8 binary64)))) (*.f64 z z))
(+ (* 4 (+ (* -1/4 (pow z 2)) (pow y 2))) (* x (+ (* -8 y) (* 4 x))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x (fma.f64 y #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) x))) (*.f64 z z)))
(+ (* 4 (+ (* -1/4 (pow z 2)) (pow y 2))) (* x (+ (* -8 y) (* 4 x))))
(fma.f64 y (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x (fma.f64 y #s(literal -8 binary64) (*.f64 #s(literal 4 binary64) x))) (*.f64 z z)))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 4 (* -8 (/ y x))))
(*.f64 x (*.f64 x (fma.f64 (/.f64 y x) #s(literal -8 binary64) #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (+ (* -8 (/ y x)) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 (/.f64 y x) #s(literal -8 binary64) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z)) (*.f64 x x))))
(* (pow x 2) (+ 4 (+ (* -8 (/ y x)) (* 4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) (pow x 2))))))
(*.f64 (*.f64 x x) (+.f64 (fma.f64 (/.f64 y x) #s(literal -8 binary64) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 4 binary64))) (*.f64 z z)) (*.f64 x x))))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 4 (* -8 (/ y x))))
(*.f64 x (*.f64 x (fma.f64 (/.f64 y x) #s(literal -8 binary64) #s(literal 4 binary64))))
(* (pow x 2) (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 8 y)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) x) (*.f64 y #s(literal 8 binary64))) x)))
(* (pow x 2) (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 8 y)) x))))
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(*.f64 y (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) y) (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) (neg.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) z))) (*.f64 y y))) (/.f64 #s(literal -4 binary64) z)))
(* y (- (+ (* 4 (/ (* (+ x (* 1/2 z)) (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) z)) (* -1 (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z))))))) (pow y 3))) (+ (* 4 (/ (- (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) z)) (* -1 (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z)))))) (pow y 2))) (* 4 (/ (- (* 2 (/ x z)) (+ 1/2 (/ x z))) y)))) (* 4 (/ 1 z))))
(*.f64 y (fma.f64 #s(literal 4 binary64) (fma.f64 (+.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) x) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) x) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) (neg.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) z))) (*.f64 y y)) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) y)) (/.f64 #s(literal -4 binary64) z)))
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* -1 (* y (+ (* -4 (/ (- (* 2 (/ x z)) (+ 1/2 (/ x z))) y)) (* 4 (/ 1 z)))))
(neg.f64 (*.f64 y (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) y) (/.f64 #s(literal 4 binary64) z))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (- (+ (* -1/4 z) (/ (pow x 2) z)) (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z))))) y)) (* 4 (- (* 2 (/ x z)) (+ 1/2 (/ x z))))) y)) (* 4 (/ 1 z)))))
(neg.f64 (*.f64 y (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 x (/.f64 x z) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) (fma.f64 z #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 z #s(literal -1/4 binary64)))) y) (*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)))) y))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (- (+ (* -1/4 z) (/ (pow x 2) z)) (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z)))))) (* 4 (/ (* (+ x (* 1/2 z)) (- (+ (* -1/4 z) (/ (pow x 2) z)) (* (+ x (* 1/2 z)) (- (* 2 (/ x z)) (+ 1/2 (/ x z)))))) y))) y)) (* 4 (- (* 2 (/ x z)) (+ 1/2 (/ x z))))) y)) (* 4 (/ 1 z)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) (/.f64 (-.f64 (fma.f64 x (/.f64 x z) (*.f64 z #s(literal -1/4 binary64))) (*.f64 (fma.f64 z #s(literal 1/2 binary64) x) (-.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) (/.f64 (fma.f64 x (/.f64 x z) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x z) #s(literal -1/2 binary64)) (/.f64 x z)) (fma.f64 z #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 z #s(literal -1/4 binary64)))) y)))) y))) y)) (neg.f64 y))
(* 4 (/ (- x y) z))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 #s(literal -2 binary64) z)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 #s(literal -2 binary64) z)) z)
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 #s(literal -2 binary64) z)) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64))
(+ (* -1/4 (pow z 2)) (pow y 2))
(fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))
(+ (* -2 (* x y)) (+ (* -1/4 (pow z 2)) (pow y 2)))
(fma.f64 y (fma.f64 #s(literal -2 binary64) x y) (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))
(+ (* -1/4 (pow z 2)) (+ (* x (+ x (* -2 y))) (pow y 2)))
(fma.f64 y (fma.f64 #s(literal -2 binary64) x y) (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))))
(+ (* -1/4 (pow z 2)) (+ (* x (+ x (* -2 y))) (pow y 2)))
(fma.f64 y (fma.f64 #s(literal -2 binary64) x y) (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -2 binary64) (/.f64 y x)) (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(* (pow x 2) (+ 1 (+ (* -2 (/ y x)) (+ (* -1/4 (/ (pow z 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 y x) (+.f64 #s(literal -2 binary64) (/.f64 y x)) (fma.f64 (*.f64 z z) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -2 (/ y x))))
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 2 y)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) x)) x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow y 2)) x)) (* 2 y)) x))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) x)) x)))
(+ (* -1/4 (pow z 2)) (pow x 2))
(fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))
(+ (* -2 (* x y)) (+ (* -1/4 (pow z 2)) (pow x 2)))
(fma.f64 x (fma.f64 #s(literal -2 binary64) y x) (*.f64 #s(literal -1/4 binary64) (*.f64 z z)))
(+ (* -1/4 (pow z 2)) (+ (* y (+ y (* -2 x))) (pow x 2)))
(fma.f64 y (fma.f64 #s(literal -2 binary64) x y) (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))))
(+ (* -1/4 (pow z 2)) (+ (* y (+ y (* -2 x))) (pow x 2)))
(fma.f64 y (fma.f64 #s(literal -2 binary64) x y) (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/4 binary64) (*.f64 z (/.f64 z (*.f64 y y))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(* (pow y 2) (+ 1 (+ (* -2 (/ x y)) (+ (* -1/4 (/ (pow z 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))
(*.f64 (*.f64 y y) (fma.f64 #s(literal -1/4 binary64) (*.f64 z (/.f64 z (*.f64 y y))) (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (* -2 (/ x y))))
(*.f64 (*.f64 y y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) y)) (* 2 x)) y))))
(*.f64 y (fma.f64 y (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) y)) y)) y))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow z 2)) (pow x 2)) y)) (* 2 x)) y))))
(*.f64 y (fma.f64 y (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 x x (*.f64 #s(literal -1/4 binary64) (*.f64 z z))) y)) y)) y))
(pow (- x y) 2)
(*.f64 (-.f64 x y) (-.f64 x y))
(+ (* -1/4 (pow z 2)) (pow (- x y) 2))
(fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (-.f64 x y) (-.f64 x y)))
(+ (* -1/4 (pow z 2)) (pow (- x y) 2))
(fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (-.f64 x y) (-.f64 x y)))
(+ (* -1/4 (pow z 2)) (pow (- x y) 2))
(fma.f64 z (*.f64 z #s(literal -1/4 binary64)) (*.f64 (-.f64 x y) (-.f64 x y)))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))
(*.f64 (*.f64 z z) (fma.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 z z)) #s(literal -1/4 binary64)))
(* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))
(*.f64 (*.f64 z z) (fma.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 z z)) #s(literal -1/4 binary64)))
(* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))
(*.f64 (*.f64 z z) (fma.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 z z)) #s(literal -1/4 binary64)))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))
(*.f64 (*.f64 z z) (fma.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 z z)) #s(literal -1/4 binary64)))
(* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))
(*.f64 (*.f64 z z) (fma.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 z z)) #s(literal -1/4 binary64)))
(* (pow z 2) (- (/ (pow (- x y) 2) (pow z 2)) 1/4))
(*.f64 (*.f64 z z) (fma.f64 (-.f64 x y) (/.f64 (-.f64 x y) (*.f64 z z)) #s(literal -1/4 binary64)))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* -1/4 (pow z 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 z z))
(* z (- x y))
(*.f64 z (-.f64 x y))
(* z (- (+ x (* 1/2 z)) y))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(* z (- (+ x (* 1/2 z)) y))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(* z (- (+ x (* 1/2 z)) y))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)))
(* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)))
(* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)))
(* 1/2 (pow z 2))
(*.f64 z (*.f64 z #s(literal 1/2 binary64)))
(* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)))
(* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)))
(* (pow z 2) (- (+ 1/2 (/ x z)) (/ y z)))
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 x y) z) #s(literal 1/2 binary64)))
(* z (- (* 1/2 z) y))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) (neg.f64 y)))
(+ (* x z) (* z (- (* 1/2 z) y)))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(+ (* x z) (* z (- (* 1/2 z) y)))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(+ (* x z) (* z (- (* 1/2 z) y)))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(* x z)
(*.f64 z x)
(* x (+ z (/ (* z (- (* 1/2 z) y)) x)))
(*.f64 z (fma.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) (neg.f64 y)) x) x x))
(* x (+ z (/ (* z (- (* 1/2 z) y)) x)))
(*.f64 z (fma.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) (neg.f64 y)) x) x x))
(* x (+ z (/ (* z (- (* 1/2 z) y)) x)))
(*.f64 z (fma.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) (neg.f64 y)) x) x x))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))
(*.f64 z (fma.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) (neg.f64 y)) x) x x))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))
(*.f64 z (fma.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) (neg.f64 y)) x) x x))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* z (- (* 1/2 z) y)) x)))))
(*.f64 z (fma.f64 (/.f64 (fma.f64 z #s(literal 1/2 binary64) (neg.f64 y)) x) x x))
(* z (+ x (* 1/2 z)))
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) x))
(+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(+ (* -1 (* y z)) (* z (+ x (* 1/2 z))))
(*.f64 z (-.f64 (fma.f64 z #s(literal 1/2 binary64) x) y))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))
(*.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) x) y) (neg.f64 z)))
(* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))
(*.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) x) y) (neg.f64 z)))
(* y (+ (* -1 z) (/ (* z (+ x (* 1/2 z))) y)))
(*.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) x) y) (neg.f64 z)))
(* -1 (* y z))
(*.f64 y (neg.f64 z))
(* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))
(*.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) x) y) (neg.f64 z)))
(* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))
(*.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) x) y) (neg.f64 z)))
(* -1 (* y (+ z (* -1 (/ (* z (+ x (* 1/2 z))) y)))))
(*.f64 y (fma.f64 z (/.f64 (fma.f64 z #s(literal 1/2 binary64) x) y) (neg.f64 z)))

eval247.0ms (3.2%)

Memory
-8.7MiB live, 345.9MiB allocated
Compiler

Compiled 33 312 to 2 722 computations (91.8% saved)

prune148.0ms (1.9%)

Memory
24.4MiB live, 342.0MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 26511 266
Fresh000
Picked145
Done044
Total1 26691 275
Accuracy
100.0%
Counts
1 275 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓69.0%
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
▶62.7%
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
✓68.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓64.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓33.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓34.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓33.7%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
✓33.9%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓37.1%
#s(literal -2 binary64)
Compiler

Compiled 77 to 58 computations (24.7% saved)

simplify6.0ms (0.1%)

Memory
-28.5MiB live, 10.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01027
11727
22327
32427
02426
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (/ x z) 4) (/ y (* z -1/4)))
(/ x z)
x
z
4
(/ y (* z -1/4))
y
(* z -1/4)
-1/4
Outputs
(+ (* (/ x z) 4) (/ y (* z -1/4)))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(/ x z)
(/.f64 x z)
x
z
4
#s(literal 4 binary64)
(/ y (* z -1/4))
(/.f64 y (*.f64 z #s(literal -1/4 binary64)))
y
(* z -1/4)
(*.f64 z #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)

localize28.0ms (0.4%)

Memory
28.5MiB live, 70.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y (*.f64 z #s(literal -1/4 binary64)))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(*.f64 z #s(literal -1/4 binary64))
✓accuracy98.3%
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
Samples
17.0ms256×0valid
Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45.3% of total)
ival-mult: 3.0ms (34% of total)
ival-add: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* (/ x z) 4) (/ y (* z -1/4)))>
#<alt (/ x z)>
#<alt (/ y (* z -1/4))>
#<alt (* z -1/4)>
Outputs
#<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 y) (* 4 x)) z)>
#<alt (/ (+ (* -4 y) (* 4 x)) z)>
#<alt (/ (+ (* -4 y) (* 4 x)) z)>
#<alt (/ (+ (* -4 y) (* 4 x)) z)>
#<alt (/ (+ (* -4 y) (* 4 x)) z)>
#<alt (/ (+ (* -4 y) (* 4 x)) z)>
#<alt (/ (+ (* -4 y) (* 4 x)) z)>
#<alt (/ (+ (* -4 y) (* 4 x)) z)>
#<alt (* -1 (/ (+ (* -4 x) (* 4 y)) z))>
#<alt (* -1 (/ (+ (* -4 x) (* 4 y)) z))>
#<alt (* -1 (/ (+ (* -4 x) (* 4 y)) z))>
#<alt (* -1 (/ (+ (* -4 x) (* 4 y)) 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 (/ 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 (/ 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 (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
#<alt (* -1/4 z)>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (* (/ x z) 4) (/ y (* z -1/4)))
0.0ms
y
@0
(+ (* (/ x z) 4) (/ y (* z -1/4)))
0.0ms
z
@-inf
(* z -1/4)
0.0ms
z
@0
(* z -1/4)
0.0ms
z
@inf
(* z -1/4)

rewrite370.0ms (4.8%)

Memory
-41.1MiB live, 326.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 784×accelerator-lowering-fma.f32
5 784×accelerator-lowering-fma.f64
4 550×*-lowering-*.f32
4 550×*-lowering-*.f64
3 358×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
14522
244622
0858321
Stop Event
1×iter limit
1×node limit
Counts
4 → 256
Calls
Call 1
Inputs
(+ (* (/ x z) 4) (/ y (* z -1/4)))
(/ x z)
(/ y (* z -1/4))
(* z -1/4)
Outputs
(+.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(-.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 z z))) (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 x #s(literal 4 binary64))) z)) (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (-.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 x #s(literal 4 binary64))) z)))
(fma.f64 x (/.f64 #s(literal 4 binary64) z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 x (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 x z) (/.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 #s(literal 4 binary64) (/.f64 y (neg.f64 z)) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) x) z) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -4 binary64) z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 4 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (neg.f64 x) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -4 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 4 binary64)) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -4 binary64)) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -1/4 binary64) y) #s(literal -1 binary64)) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z #s(literal 1/4 binary64))) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 y (neg.f64 z)) #s(literal 4 binary64) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 x (neg.f64 z)) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal 1/4 binary64)) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 (*.f64 (/.f64 x z) x) z) (/.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 #s(literal 16 binary64) (/.f64 (/.f64 (*.f64 (/.f64 x z) x) z) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (*.f64 (/.f64 x z) #s(literal 16 binary64)) (/.f64 (/.f64 x z) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) x) z) (/.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) z) (neg.f64 y) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 (pow.f64 (/.f64 (*.f64 z #s(literal -1/4 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal -1/4 binary64)) y) #s(literal -1/2 binary64)) (*.f64 (/.f64 x z) #s(literal 4 binary64)))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -1/16 binary64)))))) (fma.f64 y (/.f64 #s(literal -4 binary64) z) (*.f64 (/.f64 x z) #s(literal 4 binary64))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (-.f64 (*.f64 z (neg.f64 x)) (*.f64 z y))) (*.f64 z (*.f64 z #s(literal -1/4 binary64))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (neg.f64 x) (neg.f64 z) (*.f64 (neg.f64 z) (neg.f64 y)))) (*.f64 (*.f64 z z) #s(literal 1/4 binary64)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (fma.f64 (neg.f64 x) (/.f64 z y) (neg.f64 z))) (/.f64 (*.f64 z (*.f64 z #s(literal -1/4 binary64))) y) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (-.f64 (neg.f64 x) (*.f64 z (/.f64 y z)))) (*.f64 z #s(literal -1/4 binary64)) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (-.f64 (/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -1/64 binary64))))) (fma.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (fma.f64 y (/.f64 #s(literal -4 binary64) z) (*.f64 (/.f64 x z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (*.f64 (*.f64 z z) #s(literal 1/16 binary64))))))
(neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -64 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 x x))) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 (*.f64 (/.f64 x z) #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z) (/.f64 (*.f64 y y) (*.f64 (*.f64 z z) #s(literal 1/16 binary64)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (*.f64 z z)) (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -1/16 binary64))))) (neg.f64 (/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 y #s(literal -4 binary64))) z))))
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(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z)))
(neg.f64 (/.f64 x (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(/.f64 x z)
(/.f64 (neg.f64 x) (neg.f64 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 (neg.f64 x)))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) z)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 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 (neg.f64 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 x (neg.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 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) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z #s(literal -1/4 binary64)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/4 binary64))) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(neg.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (/.f64 y (*.f64 z #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 y (*.f64 z #s(literal -1/4 binary64)))
(/.f64 (neg.f64 y) (*.f64 z #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -1/4 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal -4 binary64))))
(/.f64 (/.f64 #s(literal -4 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1/4 binary64) y))
(/.f64 (/.f64 y z) #s(literal -1/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 1/4 binary64)) y))
(/.f64 (/.f64 y (neg.f64 z)) #s(literal 1/4 binary64))
(/.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 (*.f64 y #s(literal -4 binary64)) z)
(/.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1/4 binary64)) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 z #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 (neg.f64 y) #s(literal -4 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) #s(literal 1/4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -4 binary64))) z)
(/.f64 (*.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) #s(literal 1/4 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) z)
(pow.f64 (/.f64 (*.f64 z #s(literal -1/4 binary64)) y) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 y (neg.f64 z)))
(*.f64 y (/.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal 4 binary64) z))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal 4 binary64) z) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 #s(literal -4 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal -1/4 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z #s(literal 1/4 binary64))))
(*.f64 (/.f64 y (neg.f64 z)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 y #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal -1/4 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 z #s(literal -1/4 binary64)) y) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 1/4 binary64)))
(neg.f64 (*.f64 z #s(literal 1/4 binary64)))
(/.f64 (*.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 z #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) z))
(*.f64 z #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) z)
(*.f64 (*.f64 z #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 z) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (neg.f64 z))

simplify301.0ms (3.9%)

Memory
14.8MiB live, 288.4MiB allocated
Algorithm
1×egg-herbie
Rules
5 410×accelerator-lowering-fma.f32
5 410×accelerator-lowering-fma.f64
3 342×*-lowering-*.f32
3 342×*-lowering-*.f64
1 380×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043588
1115588
2333588
31020498
43315468
56038468
08094468
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -4 (/ y z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(* 4 (/ x z))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/ (+ (* -4 y) (* 4 x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(* 4 (/ x z))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(* -4 (/ y z))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -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))
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
(* -1/4 z)
Outputs
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ (+ (* -4 y) (* 4 x)) z)
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (/ (+ (* -4 x) (* 4 y)) z))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 y x)) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))
(* -1/4 z)
(*.f64 z #s(literal -1/4 binary64))

eval76.0ms (1%)

Memory
11.0MiB live, 84.4MiB allocated
Compiler

Compiled 7 186 to 722 computations (90% saved)

prune159.0ms (2.1%)

Memory
-15.3MiB live, 93.6MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New3520352
Fresh000
Picked011
Done088
Total3529361
Accuracy
100.0%
Counts
361 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓69.0%
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
✓62.7%
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
✓68.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓64.5%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓33.6%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓34.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓33.7%
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
✓33.9%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓37.1%
#s(literal -2 binary64)
Compiler

Compiled 171 to 98 computations (42.7% saved)

regimes79.0ms (1%)

Memory
1.9MiB live, 39.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 x z) #s(literal 4 binary64) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 x y) (-.f64 x y) (*.f64 (*.f64 z z) #s(literal -1/4 binary64)))) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) (-.f64 x y))))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Calls

5 calls:

60.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
4.0ms
z
4.0ms
(-.f64 x y)
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
99.6%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes44.0ms (0.6%)

Memory
-9.0MiB live, 30.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) 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 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Calls

5 calls:

29.0ms
z
4.0ms
x
4.0ms
(-.f64 x y)
3.0ms
y
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
91.3%3x
89.4%3y
87.2%3z
99.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
85.4%3(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
Outputs
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
91.3%3x
73.3%2(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes73.0ms (0.9%)

Memory
-16.1MiB live, 23.4MiB 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) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
Outputs
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Calls

4 calls:

64.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(-.f64 x y)
Results
AccuracySegmentsBranch
68.6%1(-.f64 x y)
68.6%1z
81.2%3y
75.2%3x
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes77.0ms (1%)

Memory
-15.3MiB live, 25.8MiB allocated
Counts
5 → 4
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Outputs
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Calls

5 calls:

67.0ms
(-.f64 x y)
2.0ms
z
2.0ms
x
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
56.9%4(-.f64 x y)
58.9%4z
72.0%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
64.5%5x
57.2%3y
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Outputs
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 #s(literal 4 binary64) z) x)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
71.9%4(/.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
4.0MiB live, 4.0MiB 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
67.9%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
15.1MiB live, 15.1MiB 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
y
1.0ms
z
1.0ms
(-.f64 x y)
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
1.0ms
x
Results
AccuracySegmentsBranch
37.1%1(-.f64 x y)
37.1%1y
37.1%1z
37.1%1x
37.1%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
2×left-value
Steps
TimeLeftRight
0.0ms
1197044301715559.3
154692292036119580.0
0.0ms
-55949499.4174721
-5534499.868955753
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch80.0ms (1%)

Memory
-0.3MiB live, 37.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
70.0ms
9.740396786047388e-60
5.710245388311672e-50
7.0ms
-4.8783308086501206e+73
-2.1152237853515156e+73
Samples
69.0ms240×0valid
Compiler

Compiled 317 to 256 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 59.0ms (93.1% of total)
ival-sub: 2.0ms (3.2% of total)
ival-div: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Memory
-12.6MiB live, 64.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.4628094237263106e+197
3.2804453818819043e+207
30.0ms
-5.541415892015449e+54
-2.008683659151781e+46
Samples
18.0ms304×0valid
Compiler

Compiled 378 to 301 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (33.9% of total)
ival-mult: 3.0ms (33.9% of total)
ival-div: 2.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.504243815273832e+294
5.579122354277798e+295
0.0ms
-1.9999999999999998
1197044301715559.3
0.0ms
-5534499.868955753
-2.999615297686739
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.504243815273832e+294
5.579122354277798e+295
0.0ms
-1.9999999999999998
1197044301715559.3
0.0ms
-5534499.868955753
-2.999615297686739
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.9999999999999998
1197044301715559.3
0.0ms
-5534499.868955753
-2.999615297686739
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify15.0ms (0.2%)

Memory
-9.9MiB live, 30.4MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056246
181246
295246
3103246
4108246
5109246
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50000000 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 2000000000000000 binary64)) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 x #s(literal -21500000000000000655253513092004128780980303788717803708585436254474076160 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 x #s(literal 5728988666769511/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -5500000000000000260462288764810109400992177933489537024 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 y #s(literal 3000000000000000185391122902249976297009377233648757090835673746567005516777574130235741279784353780405326550398445020067915404879228882519402806810824960829081096690629122465127715233589487762145280 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #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 -5000000 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) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000 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) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 (/.f64 #s(literal 4 binary64) z) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000 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
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -50000000 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 2000000000000000 binary64)) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 x #s(literal -21500000000000000655253513092004128780980303788717803708585436254474076160 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (if (<=.f64 x #s(literal 5728988666769511/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (fma.f64 (/.f64 y z) #s(literal -4 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -5500000000000000260462288764810109400992177933489537024 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 y #s(literal 3000000000000000185391122902249976297009377233648757090835673746567005516777574130235741279784353780405326550398445020067915404879228882519402806810824960829081096690629122465127715233589487762145280 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))
(if (<=.f64 y #s(literal -5500000000000000260462288764810109400992177933489537024 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (if (<=.f64 y #s(literal 3000000000000000185391122902249976297009377233648757090835673746567005516777574130235741279784353780405326550398445020067915404879228882519402806810824960829081096690629122465127715233589487762145280 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 y #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 -5000000 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) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 (/.f64 #s(literal 4 binary64) z) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000 binary64)) (/.f64 (*.f64 y #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 2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (/.f64 (*.f64 y #s(literal -4 binary64)) z) (*.f64 x (/.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 -5000000 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) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (*.f64 (/.f64 #s(literal -4 binary64) z) y) (*.f64 (/.f64 #s(literal 4 binary64) z) x))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -5000000 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) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 2000000000000000132872935482496206237094312341172584908970922214753713493255768101167089780693375139608812241567134921336075488584322101781755750774742240399521541760156078250259598945212267909879768657149226586411367871939134697181462712041438531269934236247503274787037183937480902858990682112 binary64)) (*.f64 y (/.f64 #s(literal -4 binary64) z)) (*.f64 x (/.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 -5000000 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 -5000000 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)

soundness762.0ms (9.8%)

Memory
19.2MiB live, 540.8MiB allocated
Rules
9 634×accelerator-lowering-fma.f32
9 634×accelerator-lowering-fma.f64
5 562×accelerator-lowering-fma.f32
5 562×accelerator-lowering-fma.f64
4 578×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
18543
256543
3599743
0813640
01271088
13901087
211191031
33256885
08216800
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 403 to 163 computations (59.6% saved)

preprocess56.0ms (0.7%)

Memory
7.0MiB live, 164.7MiB allocated
Compiler

Compiled 596 to 154 computations (74.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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