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

Time bar (total: 8.6s)

analyze322.0ms (3.7%)

Memory
-1.9MiB live, 36.8MiB 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)

sample796.0ms (9.2%)

Memory
31.2MiB live, 1 329.2MiB allocated
Samples
532.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 289.0ms
ival-mult: 115.0ms (39.8% of total)
ival-sub: 100.0ms (34.6% of total)
ival-div: 57.0ms (19.7% of total)
exact: 8.0ms (2.8% of total)
ival-true: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess294.0ms (3.4%)

Memory
-25.2MiB live, 239.2MiB 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)))

explain93.0ms (1.1%)

Memory
11.6MiB live, 207.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-z
00-0-#s(literal 4 binary64)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-y
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 108 to 44 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (42.3% of total)
ival-sub: 5.0ms (30.2% of total)
ival-div: 4.0ms (24.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify227.0ms (2.6%)

Memory
3.0MiB live, 121.2MiB 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)

localize49.0ms (0.6%)

Memory
2.5MiB live, 41.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 z #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Samples
16.0ms256×0valid
Compiler

Compiled 40 to 12 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (38.1% of total)
ival-mult: 3.0ms (38.1% of total)
ival-div: 2.0ms (25.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
-22.0MiB live, 15.5MiB 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
27.0ms
y
@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
@0
(/ (* 4 (- (- x y) (* z 1/2))) z)
1.0ms
x
@-inf
(/ (* 4 (- (- x y) (* z 1/2))) z)

rewrite320.0ms (3.7%)

Memory
-0.2MiB live, 473.7MiB 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)

simplify270.0ms (3.1%)

Memory
36.3MiB live, 511.4MiB 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)

eval111.0ms (1.3%)

Memory
-8.9MiB live, 104.6MiB allocated
Compiler

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

prune127.0ms (1.5%)

Memory
16.0MiB live, 99.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4748482
Fresh000
Picked101
Done000
Total4758483
Accuracy
100.0%
Counts
483 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
▶68.7%
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
67.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
▶36.5%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
36.9%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
▶31.9%
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
▶68.7%
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
▶33.7%
#s(literal -2 binary64)
Compiler

Compiled 176 to 116 computations (34.1% saved)

simplify322.0ms (3.7%)

Memory
-54.6MiB live, 140.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))
✓cost-diff0
(/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))
✓cost-diff0
(pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64))
✓cost-diff15168
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
✓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)))
✓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
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y))
✓cost-diff320
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
Rules
1 736×accelerator-lowering-fma.f32
1 736×accelerator-lowering-fma.f64
832×times-frac
776×*-lowering-*.f32
776×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024116
147116
282116
3129116
4218114
5429108
6842108
71319108
82051108
92805108
103110108
113230108
123249108
133266108
143274108
153275108
03275100
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ (* z -2) (* -4 y)) z)
(+ (* z -2) (* -4 y))
z
-2
(* -4 y)
-4
y
-2
(/ (* 4 x) z)
(* 4 x)
4
x
z
(neg (+ (* y (/ 4 z)) 2))
(+ (* y (/ 4 z)) 2)
y
(/ 4 z)
4
z
2
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2))
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
(/ z (+ (* 4 (- x y)) (* z -2)))
z
(+ (* 4 (- x y)) (* z -2))
4
(- x y)
x
y
(* z -2)
-2
-1/2
Outputs
(/ (+ (* z -2) (* -4 y)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(+ (* z -2) (* -4 y))
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y))
z
-2
#s(literal -2 binary64)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
-2
#s(literal -2 binary64)
(/ (* 4 x) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
4
#s(literal 4 binary64)
x
z
(neg (+ (* y (/ 4 z)) 2))
(fma.f64 #s(literal -4 binary64) (/.f64 y 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)
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2))
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 y x) z) #s(literal -2 binary64))
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
(pow.f64 (/.f64 z (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(/ z (+ (* 4 (- x y)) (* z -2)))
(/.f64 z (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)))
4
#s(literal 4 binary64)
(- x y)
(-.f64 x y)
x
y
(* z -2)
(*.f64 z #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)

localize72.0ms (0.8%)

Memory
16.1MiB live, 173.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))
✓accuracy99.9%
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
✓accuracy90.4%
(pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64))
✓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))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) x)
✓accuracy100.0%
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y))
✓accuracy100.0%
(/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
Samples
27.0ms174×0invalid
16.0ms82×0valid
Compiler

Compiled 122 to 26 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 10.0ms (35.8% of total)
ival-div: 7.0ms (25.1% of total)
ival-add: 6.0ms (21.5% of total)
ival-pow: 2.0ms (7.2% of total)
ival-sub: 1.0ms (3.6% of total)
exact: 1.0ms (3.6% of total)
ival-neg: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-8.0MiB live, 68.7MiB allocated
Counts
13 → 312
Calls
Call 1
Inputs
#<alt (/ (+ (* z -2) (* -4 y)) z)>
#<alt (+ (* z -2) (* -4 y))>
#<alt (* -4 y)>
#<alt (/ (* 4 x) z)>
#<alt (* 4 x)>
#<alt (neg (+ (* y (/ 4 z)) 2))>
#<alt (+ (* y (/ 4 z)) 2)>
#<alt (/ 4 z)>
#<alt (* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2))>
#<alt (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)>
#<alt (/ z (+ (* 4 (- x y)) (* z -2)))>
#<alt (+ (* 4 (- x y)) (* z -2))>
#<alt (* z -2)>
Outputs
#<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 -2>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<alt (- (* -4 (/ y z)) 2)>
#<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 (* -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)>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (* -2 z)>
#<alt (* z (- (* -4 (/ y z)) 2))>
#<alt (* z (- (* -4 (/ y z)) 2))>
#<alt (* z (- (* -4 (/ y z)) 2))>
#<alt (* -2 z)>
#<alt (* -1 (* z (+ 2 (* 4 (/ y z)))))>
#<alt (* -1 (* z (+ 2 (* 4 (/ y z)))))>
#<alt (* -1 (* z (+ 2 (* 4 (/ y z)))))>
#<alt (* -2 z)>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (* -4 y)>
#<alt (* y (- (* -2 (/ z y)) 4))>
#<alt (* y (- (* -2 (/ z y)) 4))>
#<alt (* y (- (* -2 (/ z y)) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* 2 (/ z y)))))>
#<alt (* -1 (* y (+ 4 (* 2 (/ z y)))))>
#<alt (* -1 (* y (+ 4 (* 2 (/ z y)))))>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* -4 y)>
#<alt (* 4 (/ x 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 (/ 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 (/ (- 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 (pow (sqrt -1) 2))>
#<alt (+ (* -4 (/ (* (pow (sqrt -1) 2) (- x y)) z)) (* 2 (pow (sqrt -1) 2)))>
#<alt (+ (* -4 (/ (* (pow (sqrt -1) 2) (- x y)) z)) (* 2 (pow (sqrt -1) 2)))>
#<alt (+ (* -4 (/ (* (pow (sqrt -1) 2) (- x y)) z)) (* 2 (pow (sqrt -1) 2)))>
#<alt (/ (+ (* -4 y) (* -2 z)) z)>
#<alt (+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))>
#<alt (+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))>
#<alt (+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))>
#<alt (* 4 (/ x z))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))>
#<alt (* 4 (/ x z))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))>
#<alt (/ (+ (* -2 z) (* 4 x)) z)>
#<alt (+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))>
#<alt (+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))>
#<alt (+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))>
#<alt (* -4 (/ y z))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* y (- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))>
#<alt (* 2 (sqrt (/ (- x y) z)))>
#<alt (/ (+ (* -1/2 (sqrt (/ (pow z 3) (- x y)))) (* 2 (sqrt (* z (- x y))))) z)>
#<alt (/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* -1/16 (sqrt (/ z (pow (- x y) 3))))))) z)>
#<alt (/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* (pow z 2) (+ (* -1/16 (sqrt (/ 1 (* (pow z 3) (pow (- x y) 3))))) (* -1/64 (sqrt (/ 1 (* z (pow (- x y) 5)))))))))) z)>
#<alt (sqrt -2)>
#<alt (+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))>
#<alt (+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (* 2 (/ (- x y) (* z (sqrt -2))))))>
#<alt (+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (+ (* 2 (/ (- x y) (* z (sqrt -2)))) (* 4 (/ (pow (- x y) 3) (* (pow z 3) (pow (sqrt -2) 5)))))))>
#<alt (sqrt -2)>
#<alt (+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))>
#<alt (+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* 2 (/ (pow (- x y) 2) (* z (pow (sqrt -2) 3))))) z)))>
#<alt (+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* -1 (/ (+ (* -2 (/ (pow (- x y) 2) (pow (sqrt -2) 3))) (* 4 (/ (pow (- x y) 3) (* z (pow (sqrt -2) 5))))) z))) z)))>
#<alt (sqrt (/ (+ (* -4 y) (* -2 z)) z))>
#<alt (+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* 2 (* x (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z))))))))>
#<alt (+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* -2 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3)))))) (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))))))>
#<alt (+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))) (* x (+ (* -2 (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 5)))))))))))>
#<alt (* 2 (sqrt (/ x z)))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))>
#<alt (* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z)))))))>
#<alt (* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow x 7))) (pow (- (* -4 (/ y z)) 2) 3))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))))>
#<alt (* -1 (* (sqrt (/ x z)) (* (sqrt -4) (sqrt -1))))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1)))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow x 7))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 3)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))))>
#<alt (sqrt (/ (+ (* -2 z) (* 4 x)) z))>
#<alt (+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* -2 (* y (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x))))))))>
#<alt (+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* -2 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3)))))))))>
#<alt (+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* y (+ (* -4 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 5)))))) (* -2 (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3))))))))))>
#<alt (* (sqrt (/ y z)) (sqrt -4))>
#<alt (* y (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))>
#<alt (* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4)))))>
#<alt (* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow y 7))) (/ (pow (- (* 4 (/ x z)) 2) 3) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (/ y z)) (sqrt -1)))>
#<alt (* -1 (* y (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))>
#<alt (* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1)))))))>
#<alt (* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow y 7))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 3)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))))>
#<alt (* 1/4 (/ z (- x y)))>
#<alt (* z (+ (* 1/8 (/ z (pow (- x y) 2))) (* 1/4 (/ 1 (- x y)))))>
#<alt (* z (+ (* z (+ (* 1/16 (/ z (pow (- x y) 3))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))>
#<alt (* z (+ (* z (+ (* z (+ (* 1/32 (/ z (pow (- x y) 4))) (* 1/16 (/ 1 (pow (- x y) 3))))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))>
#<alt -1/2>
#<alt (- (/ y z) (+ 1/2 (/ x z)))>
#<alt (- (+ (* 2 (/ (* (- x y) (- y x)) (pow z 2))) (/ y z)) (+ 1/2 (/ x z)))>
#<alt (- (+ (* 4 (/ (* (pow (- x y) 2) (- y x)) (pow z 3))) (/ y z)) (+ 1/2 (+ (* -2 (/ (* (- x y) (- y x)) (pow z 2))) (/ x z))))>
#<alt -1/2>
#<alt (- (* -1 (/ (- x y) z)) 1/2)>
#<alt (- (* -1 (/ (- (* 2 (/ (pow (- x y) 2) z)) (* -1 (- x y))) z)) 1/2)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (pow (- x y) 3) z)) (* 2 (pow (- x y) 2))) z)) (* -1 (- x y))) z)) 1/2)>
#<alt (/ z (+ (* -4 y) (* -2 z)))>
#<alt (+ (* -4 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 2))) (/ z (+ (* -4 y) (* -2 z))))>
#<alt (+ (* x (- (* 16 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 3))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))>
#<alt (+ (* x (- (* x (- (* -64 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 4))) (* -16 (/ z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))>
#<alt (* 1/4 (/ z x))>
#<alt (/ (+ (* -1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)) (* 1/4 z)) x)>
#<alt (/ (- (+ (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/4 z)) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x)>
#<alt (/ (- (+ (* -1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) (pow x 3))) (* 1/4 z)) (+ (* -1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)))) x)>
#<alt (* 1/4 (/ z x))>
#<alt (* -1 (/ (+ (* -1/4 z) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) x)) (* 1/64 (* z (pow (+ (* -4 y) (* -2 z)) 2)))) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))>
#<alt (/ z (+ (* -2 z) (* 4 x)))>
#<alt (+ (* 4 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 2))) (/ z (+ (* -2 z) (* 4 x))))>
#<alt (+ (* y (- (* 16 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 3))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))>
#<alt (+ (* y (- (* y (- (* 64 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 4))) (* -16 (/ z (pow (+ (* -2 z) (* 4 x)) 3))))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))>
#<alt (* -1/4 (/ z y))>
#<alt (/ (+ (* -1/4 z) (* -1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)>
#<alt (/ (- (+ (* -1/4 z) (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2)))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)>
#<alt (/ (- (+ (* -1/4 z) (* -1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) (pow y 3)))) (+ (* 1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)))) y)>
#<alt (* -1/4 (/ z y))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)) (* 1/4 z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) y)) (* -1/64 (* z (pow (+ (* -2 z) (* 4 x)) 2)))) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))>
#<alt (* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))>
#<alt (* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))>
#<alt (+ (* -2 z) (* 4 x))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (* -4 y)>
#<alt (* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))>
#<alt (* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))>
#<alt (* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))>
#<alt (* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))>
#<alt (* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) 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 (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
#<alt (* -2 z)>
Calls

78 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(neg (+ (* y (/ 4 z)) 2))
2.0ms
y
@inf
(* -4 y)
1.0ms
x
@-inf
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
1.0ms
y
@inf
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
1.0ms
y
@-inf
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)

rewrite633.0ms (7.3%)

Memory
8.6MiB live, 644.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 026×accelerator-lowering-fma.f32
9 026×accelerator-lowering-fma.f64
6 092×*-lowering-*.f32
6 092×*-lowering-*.f64
3 324×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02494
113091
296391
0856283
Stop Event
1×iter limit
1×node limit
Counts
13 → 605
Calls
Call 1
Inputs
(/ (+ (* z -2) (* -4 y)) z)
(+ (* z -2) (* -4 y))
(* -4 y)
(/ (* 4 x) z)
(* 4 x)
(neg (+ (* y (/ 4 z)) 2))
(+ (* y (/ 4 z)) 2)
(/ 4 z)
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2))
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
(/ z (+ (* 4 (- x y)) (* z -2)))
(+ (* 4 (- x y)) (* z -2))
(* z -2)
Outputs
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(+.f64 (/.f64 y (*.f64 z #s(literal -1/4 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(+.f64 (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 z #s(literal 2 binary64) (*.f64 y #s(literal 4 binary64))) z))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) (fma.f64 z #s(literal 2 binary64) (*.f64 #s(literal -4 binary64) y))) z) (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 16 binary64))) (fma.f64 z #s(literal -2 binary64) (*.f64 y #s(literal 4 binary64)))) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (fma.f64 z #s(literal 2 binary64) (*.f64 y #s(literal 4 binary64))) z))
(-.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (*.f64 z (fma.f64 z #s(literal -2 binary64) (*.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 y (*.f64 y #s(literal 16 binary64))) (*.f64 z (fma.f64 z #s(literal -2 binary64) (*.f64 y #s(literal 4 binary64))))))
(fma.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z #s(literal -1/4 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(fma.f64 y (/.f64 #s(literal -4 binary64) z) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) z)))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) y)) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z #s(literal -2 binary64))))
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(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))) (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))) (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -8 binary64) z)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -8 binary64) z)))) (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y))) (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))))
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))
(/.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))) (neg.f64 (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))) (neg.f64 (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -8 binary64) z))))))
(/.f64 (neg.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))))
(/.f64 (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))) (*.f64 z (*.f64 z #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z))))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (*.f64 (-.f64 x y) (-.f64 x y))))) (neg.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 z (*.f64 z #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))) #s(literal 1 binary64)) (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))))
(/.f64 (*.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))
(pow.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))))))
(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) (-.f64 (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -8 binary64) z))))))
(*.f64 (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))
(*.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))))
(*.f64 (fma.f64 z (*.f64 z #s(literal 4 binary64)) (*.f64 #s(literal -16 binary64) (*.f64 (-.f64 x y) (-.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (-.f64 x y)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 x y) #s(literal -8 binary64))) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x y) (*.f64 (-.f64 x y) #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))))
(*.f64 z #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) z)

simplify410.0ms (4.8%)

Memory
14.3MiB live, 688.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 840×accelerator-lowering-fma.f32
7 840×accelerator-lowering-fma.f64
6 910×*-lowering-*.f32
6 910×*-lowering-*.f64
2 264×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05854010
116853955
253763816
081293498
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* -4 (/ y z))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) 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
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(- (* -4 (/ y z)) 2)
(* -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))
(* -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)
(+ (* -4 y) (* -2 z))
(+ (* -4 y) (* -2 z))
(+ (* -4 y) (* -2 z))
(* -2 z)
(* z (- (* -4 (/ y z)) 2))
(* z (- (* -4 (/ y z)) 2))
(* z (- (* -4 (/ y z)) 2))
(* -2 z)
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(* -2 z)
(+ (* -4 y) (* -2 z))
(+ (* -4 y) (* -2 z))
(+ (* -4 y) (* -2 z))
(* -4 y)
(* y (- (* -2 (/ z y)) 4))
(* y (- (* -2 (/ z y)) 4))
(* y (- (* -2 (/ z y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* -4 y)
(* 4 (/ x 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 (/ 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 (/ (- 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 (pow (sqrt -1) 2))
(+ (* -4 (/ (* (pow (sqrt -1) 2) (- x y)) z)) (* 2 (pow (sqrt -1) 2)))
(+ (* -4 (/ (* (pow (sqrt -1) 2) (- x y)) z)) (* 2 (pow (sqrt -1) 2)))
(+ (* -4 (/ (* (pow (sqrt -1) 2) (- x y)) z)) (* 2 (pow (sqrt -1) 2)))
(/ (+ (* -4 y) (* -2 z)) z)
(+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))
(+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))
(+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))
(* 4 (/ x z))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 (/ x z))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(/ (+ (* -2 z) (* 4 x)) z)
(+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))
(+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))
(+ -2 (+ (* -4 (/ y z)) (* 4 (/ x z))))
(* -4 (/ y z))
(* y (- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* y (- (* 4 (/ x (* y z))) (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* 2 (sqrt (/ (- x y) z)))
(/ (+ (* -1/2 (sqrt (/ (pow z 3) (- x y)))) (* 2 (sqrt (* z (- x y))))) z)
(/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* -1/16 (sqrt (/ z (pow (- x y) 3))))))) z)
(/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* (pow z 2) (+ (* -1/16 (sqrt (/ 1 (* (pow z 3) (pow (- x y) 3))))) (* -1/64 (sqrt (/ 1 (* z (pow (- x y) 5)))))))))) z)
(sqrt -2)
(+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))
(+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (* 2 (/ (- x y) (* z (sqrt -2))))))
(+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (+ (* 2 (/ (- x y) (* z (sqrt -2)))) (* 4 (/ (pow (- x y) 3) (* (pow z 3) (pow (sqrt -2) 5)))))))
(sqrt -2)
(+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))
(+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* 2 (/ (pow (- x y) 2) (* z (pow (sqrt -2) 3))))) z)))
(+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* -1 (/ (+ (* -2 (/ (pow (- x y) 2) (pow (sqrt -2) 3))) (* 4 (/ (pow (- x y) 3) (* z (pow (sqrt -2) 5))))) z))) z)))
(sqrt (/ (+ (* -4 y) (* -2 z)) z))
(+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* 2 (* x (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z))))))))
(+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* -2 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3)))))) (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))))))
(+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))) (* x (+ (* -2 (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 5)))))))))))
(* 2 (sqrt (/ x z)))
(* x (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))
(* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z)))))))
(* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow x 7))) (pow (- (* -4 (/ y z)) 2) 3))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))))
(* -1 (* (sqrt (/ x z)) (* (sqrt -4) (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow x 7))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 3)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))))
(sqrt (/ (+ (* -2 z) (* 4 x)) z))
(+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* -2 (* y (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x))))))))
(+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* -2 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3)))))))))
(+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* y (+ (* -4 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 5)))))) (* -2 (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3))))))))))
(* (sqrt (/ y z)) (sqrt -4))
(* y (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))
(* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4)))))
(* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow y 7))) (/ (pow (- (* 4 (/ x z)) 2) 3) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))))
(* -2 (* (sqrt (/ y z)) (sqrt -1)))
(* -1 (* y (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))
(* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1)))))))
(* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow y 7))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 3)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))))
(* 1/4 (/ z (- x y)))
(* z (+ (* 1/8 (/ z (pow (- x y) 2))) (* 1/4 (/ 1 (- x y)))))
(* z (+ (* z (+ (* 1/16 (/ z (pow (- x y) 3))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))
(* z (+ (* z (+ (* z (+ (* 1/32 (/ z (pow (- x y) 4))) (* 1/16 (/ 1 (pow (- x y) 3))))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))
-1/2
(- (/ y z) (+ 1/2 (/ x z)))
(- (+ (* 2 (/ (* (- x y) (- y x)) (pow z 2))) (/ y z)) (+ 1/2 (/ x z)))
(- (+ (* 4 (/ (* (pow (- x y) 2) (- y x)) (pow z 3))) (/ y z)) (+ 1/2 (+ (* -2 (/ (* (- x y) (- y x)) (pow z 2))) (/ x z))))
-1/2
(- (* -1 (/ (- x y) z)) 1/2)
(- (* -1 (/ (- (* 2 (/ (pow (- x y) 2) z)) (* -1 (- x y))) z)) 1/2)
(- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (pow (- x y) 3) z)) (* 2 (pow (- x y) 2))) z)) (* -1 (- x y))) z)) 1/2)
(/ z (+ (* -4 y) (* -2 z)))
(+ (* -4 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 2))) (/ z (+ (* -4 y) (* -2 z))))
(+ (* x (- (* 16 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 3))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))
(+ (* x (- (* x (- (* -64 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 4))) (* -16 (/ z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))
(* 1/4 (/ z x))
(/ (+ (* -1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)) (* 1/4 z)) x)
(/ (- (+ (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/4 z)) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x)
(/ (- (+ (* -1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) (pow x 3))) (* 1/4 z)) (+ (* -1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)))) x)
(* 1/4 (/ z x))
(* -1 (/ (+ (* -1/4 z) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) x)) (* 1/64 (* z (pow (+ (* -4 y) (* -2 z)) 2)))) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))
(/ z (+ (* -2 z) (* 4 x)))
(+ (* 4 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 2))) (/ z (+ (* -2 z) (* 4 x))))
(+ (* y (- (* 16 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 3))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))
(+ (* y (- (* y (- (* 64 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 4))) (* -16 (/ z (pow (+ (* -2 z) (* 4 x)) 3))))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))
(* -1/4 (/ z y))
(/ (+ (* -1/4 z) (* -1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)
(/ (- (+ (* -1/4 z) (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2)))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)
(/ (- (+ (* -1/4 z) (* -1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) (pow y 3)))) (+ (* 1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)))) y)
(* -1/4 (/ z y))
(* -1 (/ (+ (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)) (* 1/4 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) y)) (* -1/64 (* z (pow (+ (* -2 z) (* 4 x)) 2)))) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))
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(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(* 4 x)
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(* 4 x)
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(+ (* -2 z) (* 4 x))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(* -4 y)
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) 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)))))
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
(* -2 z)
Outputs
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/ (+ (* -4 y) (* -2 z)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/ (+ (* -4 y) (* -2 z)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/ (+ (* -4 y) (* -2 z)) 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)
(- (* -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 (+ (* 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)
(* -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)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* -2 z))
(fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* -2 z))
(fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* -2 z))
(fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* z (- (* -4 (/ y z)) 2))
(*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(* z (- (* -4 (/ y z)) 2))
(*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(* z (- (* -4 (/ y z)) 2))
(*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* 4 (/ y z)))))
(*.f64 z (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(+ (* -4 y) (* -2 z))
(fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* -2 z))
(fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (* -2 z))
(fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* -2 (/ z y)) 4))
(*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 z y) #s(literal -4 binary64)))
(* y (- (* -2 (/ z y)) 4))
(*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 z y) #s(literal -4 binary64)))
(* y (- (* -2 (/ z y)) 4))
(*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 z y) #s(literal -4 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(neg.f64 (*.f64 y (fma.f64 z (/.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(neg.f64 (*.f64 y (fma.f64 z (/.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(* -1 (* y (+ 4 (* 2 (/ z y)))))
(neg.f64 (*.f64 y (fma.f64 z (/.f64 #s(literal 2 binary64) y) #s(literal 4 binary64))))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* 4 (/ x z))
(/.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 (/ 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))
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(/.f64 (fma.f64 z #s(literal -1/4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) (*.f64 z #s(literal 1/16 binary64))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))
(/.f64 (-.f64 (*.f64 z #s(literal -1/4 binary64)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) (*.f64 z (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))))) (/.f64 #s(literal 1/64 binary64) x) (*.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) (*.f64 z #s(literal -1/16 binary64)))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) x)) (* 1/64 (* z (pow (+ (* -4 y) (* -2 z)) 2)))) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))
(/.f64 (fma.f64 z #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) (*.f64 z (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))))) x) (*.f64 #s(literal -1/64 binary64) (*.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) (*.f64 z (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))))))) x) (*.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) (*.f64 z #s(literal 1/16 binary64)))) x)) (neg.f64 x))
(/ z (+ (* -2 z) (* 4 x)))
(/.f64 z (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)))
(+ (* 4 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 2))) (/ z (+ (* -2 z) (* 4 x))))
(fma.f64 y (/.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)))) (/.f64 z (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))
(+ (* y (- (* 16 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 3))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))
(fma.f64 y (fma.f64 y (/.f64 (*.f64 z #s(literal 16 binary64)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))) (/.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))) (/.f64 z (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))
(+ (* y (- (* y (- (* 64 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 4))) (* -16 (/ z (pow (+ (* -2 z) (* 4 x)) 3))))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 16 binary64) (/.f64 z (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))) (/.f64 (*.f64 (*.f64 y z) #s(literal 64 binary64)) (pow.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) #s(literal 4 binary64)))) (/.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))) (/.f64 z (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))
(* -1/4 (/ z y))
(/.f64 (*.f64 z #s(literal -1/4 binary64)) y)
(/ (+ (* -1/4 z) (* -1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)
(/.f64 (fma.f64 z (*.f64 (/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) y) #s(literal -1/16 binary64)) (*.f64 z #s(literal -1/4 binary64))) y)
(/ (- (+ (* -1/4 z) (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2)))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)
(/.f64 (fma.f64 z #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))) (/.f64 z y)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 z #s(literal -1/16 binary64)))) y)) y)
(/ (- (+ (* -1/4 z) (* -1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) (pow y 3)))) (+ (* 1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)))) y)
(/.f64 (fma.f64 z #s(literal -1/4 binary64) (fma.f64 z (*.f64 (/.f64 (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)))) (*.f64 y (*.f64 y y))) #s(literal -1/256 binary64)) (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))) (/.f64 z y)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 z #s(literal -1/16 binary64)))) y))) y)
(* -1/4 (/ z y))
(/.f64 (*.f64 z #s(literal -1/4 binary64)) y)
(* -1 (/ (+ (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)) (* 1/4 z)) y))
(neg.f64 (/.f64 (fma.f64 z #s(literal 1/4 binary64) (/.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/16 binary64))) y)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))
(/.f64 (-.f64 (*.f64 z #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/64 binary64) (*.f64 (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))) (/.f64 z y)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 z #s(literal -1/16 binary64)))) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) y)) (* -1/64 (* z (pow (+ (* -2 z) (* 4 x)) 2)))) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))
(/.f64 (fma.f64 z #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))))) y) (*.f64 #s(literal 1/64 binary64) (*.f64 z (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)))))) y) (*.f64 z (*.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/16 binary64)))) y)) (neg.f64 y))
(+ (* -4 y) (* -2 z))
(fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (+ (* -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 x)) (* -2 (/ z x)))))
(*.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) x)))
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(*.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) x)))
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(*.f64 x (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) x)))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(*.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(*.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) x)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(*.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 z #s(literal -2 binary64))) x)) (neg.f64 x))
(+ (* -2 z) (* 4 x))
(fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(*.f64 y (fma.f64 z (/.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(*.f64 y (fma.f64 z (/.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))))
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(*.f64 y (fma.f64 z (/.f64 #s(literal -2 binary64) 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 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) y)) (neg.f64 y))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) y)) (neg.f64 y))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal 4 binary64) x)) y)) (neg.f64 y))
(* 4 (- x y))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -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))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)))
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)))
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 z (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x y) z) #s(literal -2 binary64)))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))
(* -2 z)
(*.f64 z #s(literal -2 binary64))

eval207.0ms (2.4%)

Memory
17.4MiB live, 283.7MiB allocated
Compiler

Compiled 33 079 to 2 490 computations (92.5% saved)

prune318.0ms (3.7%)

Memory
-34.9MiB live, 285.8MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1 20321 205
Fresh033
Picked325
Done000
Total1 20671 213
Accuracy
100.0%
Counts
1 213 → 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))
▶68.7%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
▶67.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓36.5%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
▶36.9%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
▶30.9%
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z))))
✓33.7%
#s(literal -2 binary64)
Compiler

Compiled 132 to 96 computations (27.3% saved)

simplify299.0ms (3.5%)

Memory
4.6MiB live, 127.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))
✓cost-diff0
(/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))
✓cost-diff0
(pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z))))
✓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 x z)
✓cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓cost-diff0
(*.f64 #s(literal -4 binary64) y)
✓cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
Rules
1 360×accelerator-lowering-fma.f32
1 360×accelerator-lowering-fma.f64
680×*-lowering-*.f32
680×*-lowering-*.f64
352×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027145
145145
271145
3108145
4178145
5284145
6469145
7731145
81178145
91894145
102135145
112225145
122279145
132304145
142322145
02322139
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* -4 (/ y z)) -2)
-4
(/ y z)
y
z
-2
(/ (* -4 y) z)
(* -4 y)
-4
y
z
(+ (* 4 (/ x z)) -2)
4
(/ x z)
x
z
-2
(/ (* 4 (- x y)) z)
(* 4 (- x y))
4
(- x y)
x
y
z
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (* 2 (sqrt (/ (- x y) z))))
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
(/ z (+ (* 4 (- x y)) (* z -2)))
z
(+ (* 4 (- x y)) (* z -2))
4
(- x y)
x
y
(* z -2)
-2
-1/2
(* 2 (sqrt (/ (- x y) z)))
2
(sqrt (/ (- x y) z))
(/ (- x y) z)
Outputs
(+ (* -4 (/ y z)) -2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
-4
#s(literal -4 binary64)
(/ y z)
(/.f64 y z)
y
z
-2
#s(literal -2 binary64)
(/ (* -4 y) z)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
y
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)
(/ (* 4 (- x y)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 4 (- x y))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
4
#s(literal 4 binary64)
(- x y)
(-.f64 x y)
x
y
z
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (* 2 (sqrt (/ (- x y) z))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) z)) (*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
(pow.f64 (/.f64 z (fma.f64 #s(literal -4 binary64) (-.f64 y x) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64))
(/ z (+ (* 4 (- x y)) (* z -2)))
(/.f64 z (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)))
4
#s(literal 4 binary64)
(- x y)
(-.f64 x y)
x
y
(* z -2)
(*.f64 z #s(literal -2 binary64))
-2
#s(literal -2 binary64)
-1/2
#s(literal -1/2 binary64)
(* 2 (sqrt (/ (- x y) z)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z)))
2
#s(literal 2 binary64)
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(/ (- x y) z)
(/.f64 (-.f64 x y) z)

localize84.0ms (1%)

Memory
6.1MiB live, 201.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))
✓accuracy99.9%
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z))))
✓accuracy90.4%
(pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64))
✓accuracy90.1%
(sqrt.f64 (/.f64 (-.f64 x y) z))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal 4 binary64) (-.f64 x y))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓accuracy100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓accuracy100.0%
(*.f64 #s(literal -4 binary64) y)
✓accuracy100.0%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 y z)
Samples
34.0ms174×0invalid
17.0ms82×0valid
Compiler

Compiled 141 to 29 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 13.0ms (38.1% of total)
ival-mult: 12.0ms (35.2% of total)
ival-add: 3.0ms (8.8% of total)
ival-sqrt: 2.0ms (5.9% of total)
ival-pow: 2.0ms (5.9% of total)
ival-sub: 1.0ms (2.9% of total)
exact: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory
-18.9MiB live, 84.3MiB allocated
Counts
14 → 396
Calls
Call 1
Inputs
#<alt (+ (* -4 (/ y z)) -2)>
#<alt (/ y z)>
#<alt (/ (* -4 y) z)>
#<alt (* -4 y)>
#<alt (+ (* 4 (/ x z)) -2)>
#<alt (/ x z)>
#<alt (/ (* 4 (- x y)) z)>
#<alt (* 4 (- x y))>
#<alt (- x y)>
#<alt (* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (* 2 (sqrt (/ (- x y) z))))>
#<alt (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)>
#<alt (/ z (+ (* 4 (- x y)) (* z -2)))>
#<alt (+ (* 4 (- x y)) (* z -2))>
#<alt (sqrt (/ (- x y) 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 (/ (+ (* -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 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 -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)>
#<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 (/ (- x y) z))>
#<alt (/ (+ (* -1 z) (* 4 (- x y))) z)>
#<alt (/ (+ (* 4 (- x y)) (* z (- (* -1/8 (/ z (- x y))) 1))) z)>
#<alt (/ (+ (* 4 (- x y)) (* z (- (* z (- (* -1/32 (/ z (pow (- x y) 2))) (* 1/8 (/ 1 (- x y))))) 1))) z)>
#<alt (* 2 (* (sqrt (/ (- x y) z)) (sqrt -2)))>
#<alt (+ (* 2 (* (sqrt (/ (- x y) z)) (sqrt -2))) (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ 1 (sqrt -2)))))>
#<alt (+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (sqrt -2))) (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ 1 (sqrt -2))))))>
#<alt (+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (sqrt -2))) (+ (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ 1 (sqrt -2)))) (* 8 (* (sqrt (/ (pow (- x y) 7) (pow z 7))) (/ 1 (pow (sqrt -2) 5)))))))>
#<alt (* 2 (* (sqrt (/ (- x y) z)) (* (pow (sqrt -1) 3) (sqrt 2))))>
#<alt (+ (* 2 (* (sqrt (/ (- x y) z)) (* (pow (sqrt -1) 3) (sqrt 2)))) (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ (pow (sqrt -1) 3) (sqrt 2)))))>
#<alt (+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ (pow (sqrt -1) 3) (pow (sqrt 2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (* (pow (sqrt -1) 3) (sqrt 2)))) (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ (pow (sqrt -1) 3) (sqrt 2))))))>
#<alt (+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ (pow (sqrt -1) 3) (pow (sqrt 2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (* (pow (sqrt -1) 3) (sqrt 2)))) (+ (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ (pow (sqrt -1) 3) (sqrt 2)))) (* 8 (* (sqrt (/ (pow (- x y) 7) (pow z 7))) (/ (pow (sqrt -1) 3) (pow (sqrt 2) 5)))))))>
#<alt (* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z)))>
#<alt (+ (* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z))) (* (/ (* x (+ (* -8 y) (* -2 z))) (* z (sqrt -1))) (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z)))))))>
#<alt (+ (* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z))) (* x (+ (* (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z))))) (/ (+ (* -8 y) (* -2 z)) (* z (sqrt -1)))) (* (/ (* x (- 4 (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (* y (* (pow (sqrt -1) 2) (+ (* -4 y) (* -2 z)))))))) (* z (sqrt -1))) (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z)))))))))>
#<alt (+ (* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z))) (* x (+ (* x (+ (* -1/2 (* (/ (* x (* (+ (* -8 y) (* -2 z)) (- 4 (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (* y (* (pow (sqrt -1) 2) (+ (* -4 y) (* -2 z))))))))) (* z (pow (sqrt -1) 3))) (sqrt (/ 1 (* (pow y 3) (pow (+ (* -4 y) (* -2 z)) 3)))))) (* (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z))))) (/ (- 4 (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (* y (* (pow (sqrt -1) 2) (+ (* -4 y) (* -2 z))))))) (* z (sqrt -1)))))) (* (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z))))) (/ (+ (* -8 y) (* -2 z)) (* z (sqrt -1)))))))>
#<alt (* 4 (/ x z))>
#<alt (* x (+ (* 1/2 (/ (+ (* -8 y) (* -2 z)) (* x z))) (* 4 (/ 1 z))))>
#<alt (* x (+ (* 1/2 (/ (+ (* -8 y) (* -2 z)) (* x z))) (+ (* 1/2 (/ (- (* -1 (* y (+ (* -4 y) (* -2 z)))) (* 1/16 (pow (+ (* -8 y) (* -2 z)) 2))) (* (pow x 2) z))) (* 4 (/ 1 z)))))>
#<alt (* x (+ (* -1/16 (/ (* (+ (* -8 y) (* -2 z)) (- (* -1 (* y (+ (* -4 y) (* -2 z)))) (* 1/16 (pow (+ (* -8 y) (* -2 z)) 2)))) (* (pow x 3) z))) (+ (* 1/2 (/ (+ (* -8 y) (* -2 z)) (* x z))) (+ (* 1/2 (/ (- (* -1 (* y (+ (* -4 y) (* -2 z)))) (* 1/16 (pow (+ (* -8 y) (* -2 z)) 2))) (* (pow x 2) z))) (* 4 (/ 1 z))))))>
#<alt (* -2 (/ (* x (* (sqrt -4) (sqrt -1))) z))>
#<alt (* -1 (* x (+ (* -1 (/ (* (sqrt -1) (+ (* -8 y) (* -2 z))) (* x (* z (sqrt -4))))) (* 2 (/ (* (sqrt -4) (sqrt -1)) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* (sqrt -1) (- (* y (+ (* -4 y) (* -2 z))) (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (pow (sqrt -4) 2))))) (* x (* z (sqrt -4))))) (/ (* (sqrt -1) (+ (* -8 y) (* -2 z))) (* z (sqrt -4)))) x)) (* 2 (/ (* (sqrt -4) (sqrt -1)) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sqrt -1) (* (+ (* -8 y) (* -2 z)) (- (* y (+ (* -4 y) (* -2 z))) (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (pow (sqrt -4) 2)))))) (* x (* z (pow (sqrt -4) 3))))) (/ (* (sqrt -1) (- (* y (+ (* -4 y) (* -2 z))) (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (pow (sqrt -4) 2))))) (* z (sqrt -4)))) x)) (/ (* (sqrt -1) (+ (* -8 y) (* -2 z))) (* z (sqrt -4)))) x)) (* 2 (/ (* (sqrt -4) (sqrt -1)) z)))))>
#<alt (* 2 (* (sqrt (* x (+ (* -2 z) (* 4 x)))) (/ 1 z)))>
#<alt (+ (* 2 (* (sqrt (* x (+ (* -2 z) (* 4 x)))) (/ 1 z))) (* (sqrt (/ 1 (* x (+ (* -2 z) (* 4 x))))) (/ (* y (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x))))) z)))>
#<alt (+ (* 2 (* (sqrt (* x (+ (* -2 z) (* 4 x)))) (/ 1 z))) (* y (+ (* (sqrt (/ 1 (* x (+ (* -2 z) (* 4 x))))) (/ (* y (- 4 (* 1/4 (/ (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2) (* x (+ (* -2 z) (* 4 x))))))) z)) (* (sqrt (/ 1 (* x (+ (* -2 z) (* 4 x))))) (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) z)))))>
#<alt (+ (* 2 (* (sqrt (* x (+ (* -2 z) (* 4 x)))) (/ 1 z))) (* y (+ (* y (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (+ (* -2 z) (* 4 x)) 3)))) (/ (* y (* (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (- 4 (* 1/4 (/ (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2) (* x (+ (* -2 z) (* 4 x)))))))) z))) (* (sqrt (/ 1 (* x (+ (* -2 z) (* 4 x))))) (/ (- 4 (* 1/4 (/ (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2) (* x (+ (* -2 z) (* 4 x)))))) z)))) (* (sqrt (/ 1 (* x (+ (* -2 z) (* 4 x))))) (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) z)))))>
#<alt (* 4 (/ y z))>
#<alt (* y (+ (* 1/2 (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (* y z))) (* 4 (/ 1 z))))>
#<alt (* y (+ (* 1/2 (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (* y z))) (+ (* 1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2))) (* (pow y 2) z))) (* 4 (/ 1 z)))))>
#<alt (* y (+ (* -1/16 (/ (* (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2)))) (* (pow y 3) z))) (+ (* 1/2 (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (* y z))) (+ (* 1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2))) (* (pow y 2) z))) (* 4 (/ 1 z))))))>
#<alt (* -4 (/ y z))>
#<alt (* -1 (* y (+ (* -1/2 (/ (+ (* -2 z) (* 8 x)) (* y z))) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -2 z) (* 8 x)) 2))) (* y z))) (* 1/2 (/ (+ (* -2 z) (* 8 x)) z))) y)) (* 4 (/ 1 z)))))>
#<alt (* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (+ (* -2 z) (* 8 x)) (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -2 z) (* 8 x)) 2)))) (* y z))) (* 1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -2 z) (* 8 x)) 2))) z))) y)) (* 1/2 (/ (+ (* -2 z) (* 8 x)) z))) y)) (* 4 (/ 1 z)))))>
#<alt (* 2 (sqrt (/ (- x y) z)))>
#<alt (/ (+ (* -1/2 (sqrt (/ (pow z 3) (- x y)))) (* 2 (sqrt (* z (- x y))))) z)>
#<alt (/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* -1/16 (sqrt (/ z (pow (- x y) 3))))))) z)>
#<alt (/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* (pow z 2) (+ (* -1/16 (sqrt (/ 1 (* (pow z 3) (pow (- x y) 3))))) (* -1/64 (sqrt (/ 1 (* z (pow (- x y) 5)))))))))) z)>
#<alt (sqrt -2)>
#<alt (+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))>
#<alt (+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (* 2 (/ (- x y) (* z (sqrt -2))))))>
#<alt (+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (+ (* 2 (/ (- x y) (* z (sqrt -2)))) (* 4 (/ (pow (- x y) 3) (* (pow z 3) (pow (sqrt -2) 5)))))))>
#<alt (sqrt -2)>
#<alt (+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))>
#<alt (+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* 2 (/ (pow (- x y) 2) (* z (pow (sqrt -2) 3))))) z)))>
#<alt (+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* -1 (/ (+ (* -2 (/ (pow (- x y) 2) (pow (sqrt -2) 3))) (* 4 (/ (pow (- x y) 3) (* z (pow (sqrt -2) 5))))) z))) z)))>
#<alt (sqrt (/ (+ (* -4 y) (* -2 z)) z))>
#<alt (+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* 2 (* x (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z))))))))>
#<alt (+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* -2 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3)))))) (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))))))>
#<alt (+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))) (* x (+ (* -2 (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 5)))))))))))>
#<alt (* 2 (sqrt (/ x z)))>
#<alt (* x (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))>
#<alt (* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z)))))))>
#<alt (* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow x 7))) (pow (- (* -4 (/ y z)) 2) 3))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))))>
#<alt (* -1 (* (sqrt (/ x z)) (* (sqrt -4) (sqrt -1))))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1)))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow x 7))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 3)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))))>
#<alt (sqrt (/ (+ (* -2 z) (* 4 x)) z))>
#<alt (+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* -2 (* y (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x))))))))>
#<alt (+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* -2 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3)))))))))>
#<alt (+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* y (+ (* -4 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 5)))))) (* -2 (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3))))))))))>
#<alt (* (sqrt (/ y z)) (sqrt -4))>
#<alt (* y (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))>
#<alt (* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4)))))>
#<alt (* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow y 7))) (/ (pow (- (* 4 (/ x z)) 2) 3) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (/ y z)) (sqrt -1)))>
#<alt (* -1 (* y (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))>
#<alt (* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1)))))))>
#<alt (* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow y 7))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 3)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))))>
#<alt (* 1/4 (/ z (- x y)))>
#<alt (* z (+ (* 1/8 (/ z (pow (- x y) 2))) (* 1/4 (/ 1 (- x y)))))>
#<alt (* z (+ (* z (+ (* 1/16 (/ z (pow (- x y) 3))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))>
#<alt (* z (+ (* z (+ (* z (+ (* 1/32 (/ z (pow (- x y) 4))) (* 1/16 (/ 1 (pow (- x y) 3))))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))>
#<alt -1/2>
#<alt (- (/ y z) (+ 1/2 (/ x z)))>
#<alt (- (+ (* 2 (/ (* (- x y) (- y x)) (pow z 2))) (/ y z)) (+ 1/2 (/ x z)))>
#<alt (- (+ (* 4 (/ (* (pow (- x y) 2) (- y x)) (pow z 3))) (/ y z)) (+ 1/2 (+ (* -2 (/ (* (- x y) (- y x)) (pow z 2))) (/ x z))))>
#<alt -1/2>
#<alt (- (* -1 (/ (- x y) z)) 1/2)>
#<alt (- (* -1 (/ (- (* 2 (/ (pow (- x y) 2) z)) (* -1 (- x y))) z)) 1/2)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (pow (- x y) 3) z)) (* 2 (pow (- x y) 2))) z)) (* -1 (- x y))) z)) 1/2)>
#<alt (/ z (+ (* -4 y) (* -2 z)))>
#<alt (+ (* -4 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 2))) (/ z (+ (* -4 y) (* -2 z))))>
#<alt (+ (* x (- (* 16 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 3))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))>
#<alt (+ (* x (- (* x (- (* -64 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 4))) (* -16 (/ z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))>
#<alt (* 1/4 (/ z x))>
#<alt (/ (+ (* -1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)) (* 1/4 z)) x)>
#<alt (/ (- (+ (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/4 z)) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x)>
#<alt (/ (- (+ (* -1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) (pow x 3))) (* 1/4 z)) (+ (* -1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)))) x)>
#<alt (* 1/4 (/ z x))>
#<alt (* -1 (/ (+ (* -1/4 z) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) x)) (* 1/64 (* z (pow (+ (* -4 y) (* -2 z)) 2)))) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))>
#<alt (/ z (+ (* -2 z) (* 4 x)))>
#<alt (+ (* 4 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 2))) (/ z (+ (* -2 z) (* 4 x))))>
#<alt (+ (* y (- (* 16 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 3))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))>
#<alt (+ (* y (- (* y (- (* 64 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 4))) (* -16 (/ z (pow (+ (* -2 z) (* 4 x)) 3))))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))>
#<alt (* -1/4 (/ z y))>
#<alt (/ (+ (* -1/4 z) (* -1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)>
#<alt (/ (- (+ (* -1/4 z) (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2)))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)>
#<alt (/ (- (+ (* -1/4 z) (* -1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) (pow y 3)))) (+ (* 1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)))) y)>
#<alt (* -1/4 (/ z y))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)) (* 1/4 z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) y)) (* -1/64 (* z (pow (+ (* -2 z) (* 4 x)) 2)))) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))>
#<alt (+ (* -4 y) (* -2 z))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (* 4 x)>
#<alt (* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))>
#<alt (* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))>
#<alt (* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))>
#<alt (* 4 x)>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))>
#<alt (* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))>
#<alt (+ (* -2 z) (* 4 x))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (+ (* -4 y) (+ (* -2 z) (* 4 x)))>
#<alt (* -4 y)>
#<alt (* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))>
#<alt (* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))>
#<alt (* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))>
#<alt (* -4 y)>
#<alt (* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))>
#<alt (* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))>
#<alt (* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) 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 (* (sqrt (/ y z)) (sqrt -1))>
#<alt (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* y z))))) (* (sqrt (/ y z)) (sqrt -1)))>
#<alt (+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 3) z))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (/ 1 (sqrt -1)))))) (* (sqrt (/ y z)) (sqrt -1)))>
#<alt (+ (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) z))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (* (pow y 5) z))))))))) (* (sqrt (/ y z)) (sqrt -1)))>
#<alt (sqrt (/ x z))>
#<alt (* x (+ (sqrt (/ 1 (* x z))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))>
#<alt (* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))))))>
#<alt (* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3)))))))>
#<alt (* -1 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))))>
#<alt (sqrt (/ x z))>
#<alt (+ (sqrt (/ x z)) (* -1/2 (* (sqrt (/ 1 (* x z))) y)))>
#<alt (+ (sqrt (/ x z)) (* y (+ (* -1/2 (sqrt (/ 1 (* x z)))) (* -1/8 (* (sqrt (/ 1 (* (pow x 3) z))) y)))))>
#<alt (+ (sqrt (/ x z)) (* y (+ (* -1/2 (sqrt (/ 1 (* x z)))) (* y (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) z)))) (* -1/16 (* (sqrt (/ 1 (* (pow x 5) z))) y)))))))>
#<alt (* (sqrt (/ y z)) (sqrt -1))>
#<alt (* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))>
#<alt (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))>
#<alt (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ y z)) (sqrt -1)))>
#<alt (* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))>
#<alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))))>
#<alt (* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))))>
#<alt (sqrt (/ (- x y) z))>
#<alt (sqrt (/ (- x y) z))>
#<alt (sqrt (/ (- x y) z))>
#<alt (sqrt (/ (- x y) z))>
#<alt (sqrt (/ (- x y) z))>
#<alt (sqrt (/ (- x y) z))>
#<alt (sqrt (/ (- x y) z))>
#<alt (sqrt (/ (- x y) z))>
#<alt (* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))>
Calls

99 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(sqrt (/ (- x y) z))
5.0ms
x
@-inf
(/ (* 4 (- x y)) z)
3.0ms
y
@inf
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (* 2 (sqrt (/ (- x y) z))))
2.0ms
y
@-inf
(/ (* 4 (- x y)) z)
2.0ms
z
@-inf
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (* 2 (sqrt (/ (- x y) z))))

rewrite391.0ms (4.5%)

Memory
29.6MiB live, 700.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 976×accelerator-lowering-fma.f32
6 976×accelerator-lowering-fma.f64
5 128×*-lowering-*.f32
5 128×*-lowering-*.f64
3 498×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027104
1138104
21074104
0893798
Stop Event
1×iter limit
1×node limit
Counts
14 → 515
Calls
Call 1
Inputs
(+ (* -4 (/ y z)) -2)
(/ y z)
(/ (* -4 y) z)
(* -4 y)
(+ (* 4 (/ x z)) -2)
(/ x z)
(/ (* 4 (- x y)) z)
(* 4 (- x y))
(- x y)
(* (pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2) (* 2 (sqrt (/ (- x y) z))))
(pow (/ z (+ (* 4 (- x y)) (* z -2))) -1/2)
(/ z (+ (* 4 (- x y)) (* z -2)))
(+ (* 4 (- x y)) (* z -2))
(sqrt (/ (- x y) z))
Outputs
(+.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(-.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal 4 binary64)) z))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal 4 binary64)) z))) (/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 y #s(literal 4 binary64)) z))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)) #s(literal -2 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 (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 y (neg.f64 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 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -4 binary64) y) #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal 4 binary64)) z) #s(literal -2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -4 binary64)) y #s(literal -2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #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 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(fma.f64 (pow.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(neg.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #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 (/.f64 y z) #s(literal 4 binary64) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #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 #s(literal -4 binary64) (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -64 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #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)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 16 binary64) (-.f64 x y))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 16 binary64) (-.f64 x y))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 z z)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 z z)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (-.f64 x y) (*.f64 #s(literal 16 binary64) (-.f64 x y))) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 z z)) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))) #s(literal 1 binary64))
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(*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) (*.f64 #s(literal -8 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) z) (*.f64 (-.f64 x y) (-.f64 (*.f64 #s(literal 16 binary64) (-.f64 x y)) (*.f64 #s(literal -8 binary64) z))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64))))
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(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (-.f64 x y) (*.f64 z #s(literal 2 binary64))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) z)) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(neg.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (neg.f64 (sqrt.f64 z))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (sqrt.f64 z)))
(/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 z))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 z (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 z (-.f64 x y)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (sqrt.f64 (*.f64 z (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (sqrt.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) z)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (sqrt.f64 (*.f64 (+.f64 y x) z)))
(/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (neg.f64 z)))
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(/.f64 (sqrt.f64 (fma.f64 x (neg.f64 z) (*.f64 z y))) (sqrt.f64 (*.f64 z (neg.f64 z))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (neg.f64 z) (*.f64 z (neg.f64 y)))) (sqrt.f64 (*.f64 z z)))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 z y) z)) (sqrt.f64 (neg.f64 (*.f64 z (/.f64 z y)))))
(/.f64 (sqrt.f64 (-.f64 z (*.f64 (/.f64 z x) y))) (sqrt.f64 (*.f64 (/.f64 z x) z)))
(/.f64 (sqrt.f64 (-.f64 (neg.f64 z) (*.f64 (/.f64 z x) (neg.f64 y)))) (sqrt.f64 (neg.f64 (*.f64 (/.f64 z x) z))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 z y) (/.f64 z x))) (sqrt.f64 (*.f64 (/.f64 z x) (/.f64 z y))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (sqrt.f64 (fma.f64 (/.f64 x z) (/.f64 x z) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) (/.f64 x z))))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x)) (/.f64 (-.f64 x y) z))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y x))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) z)) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) z)) (sqrt.f64 (+.f64 y x)))
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(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 z))))
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(*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 (-.f64 x y)))
(*.f64 (sqrt.f64 (-.f64 y x)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (sqrt.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 z))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x y))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 z))))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 x y) z) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 x y) z)))

simplify504.0ms (5.8%)

Memory
-9.4MiB live, 782.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 680×accelerator-lowering-fma.f32
10 680×accelerator-lowering-fma.f64
9 220×*-lowering-*.f32
9 220×*-lowering-*.f64
4 354×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09826578
130246373
088905920
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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))
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ (+ (* -4 y) (* -2 z)) 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)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -4 (/ y 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))
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(* -4 (/ y z))
(* -4 (/ y z))
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(* -4 y)
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-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
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(- (* 4 (/ x z)) 2)
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(/ x z)
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(* 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 (/ 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))))
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(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(* 4 (/ (- x y) z))
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(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* 4 (/ (- x y) z))
(* -4 y)
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(* 4 x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
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(* y (- (* 4 (/ x y)) 4))
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(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 y)
(- x y)
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x
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x
(* -1 (* x (- (/ y x) 1)))
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x
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(* 4 (/ (- x y) z))
(/ (+ (* -1 z) (* 4 (- x y))) z)
(/ (+ (* 4 (- x y)) (* z (- (* -1/8 (/ z (- x y))) 1))) z)
(/ (+ (* 4 (- x y)) (* z (- (* z (- (* -1/32 (/ z (pow (- x y) 2))) (* 1/8 (/ 1 (- x y))))) 1))) z)
(* 2 (* (sqrt (/ (- x y) z)) (sqrt -2)))
(+ (* 2 (* (sqrt (/ (- x y) z)) (sqrt -2))) (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ 1 (sqrt -2)))))
(+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (sqrt -2))) (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ 1 (sqrt -2))))))
(+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (sqrt -2))) (+ (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ 1 (sqrt -2)))) (* 8 (* (sqrt (/ (pow (- x y) 7) (pow z 7))) (/ 1 (pow (sqrt -2) 5)))))))
(* 2 (* (sqrt (/ (- x y) z)) (* (pow (sqrt -1) 3) (sqrt 2))))
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(+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ (pow (sqrt -1) 3) (pow (sqrt 2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (* (pow (sqrt -1) 3) (sqrt 2)))) (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ (pow (sqrt -1) 3) (sqrt 2))))))
(+ (* -4 (* (sqrt (/ (pow (- x y) 5) (pow z 5))) (/ (pow (sqrt -1) 3) (pow (sqrt 2) 3)))) (+ (* 2 (* (sqrt (/ (- x y) z)) (* (pow (sqrt -1) 3) (sqrt 2)))) (+ (* 4 (* (sqrt (/ (pow (- x y) 3) (pow z 3))) (/ (pow (sqrt -1) 3) (sqrt 2)))) (* 8 (* (sqrt (/ (pow (- x y) 7) (pow z 7))) (/ (pow (sqrt -1) 3) (pow (sqrt 2) 5)))))))
(* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z)))
(+ (* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z))) (* (/ (* x (+ (* -8 y) (* -2 z))) (* z (sqrt -1))) (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z)))))))
(+ (* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z))) (* x (+ (* (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z))))) (/ (+ (* -8 y) (* -2 z)) (* z (sqrt -1)))) (* (/ (* x (- 4 (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (* y (* (pow (sqrt -1) 2) (+ (* -4 y) (* -2 z)))))))) (* z (sqrt -1))) (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z)))))))))
(+ (* 2 (* (sqrt (* y (+ (* -4 y) (* -2 z)))) (/ (sqrt -1) z))) (* x (+ (* x (+ (* -1/2 (* (/ (* x (* (+ (* -8 y) (* -2 z)) (- 4 (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (* y (* (pow (sqrt -1) 2) (+ (* -4 y) (* -2 z))))))))) (* z (pow (sqrt -1) 3))) (sqrt (/ 1 (* (pow y 3) (pow (+ (* -4 y) (* -2 z)) 3)))))) (* (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z))))) (/ (- 4 (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (* y (* (pow (sqrt -1) 2) (+ (* -4 y) (* -2 z))))))) (* z (sqrt -1)))))) (* (sqrt (/ 1 (* y (+ (* -4 y) (* -2 z))))) (/ (+ (* -8 y) (* -2 z)) (* z (sqrt -1)))))))
(* 4 (/ x z))
(* x (+ (* 1/2 (/ (+ (* -8 y) (* -2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (+ (* 1/2 (/ (+ (* -8 y) (* -2 z)) (* x z))) (+ (* 1/2 (/ (- (* -1 (* y (+ (* -4 y) (* -2 z)))) (* 1/16 (pow (+ (* -8 y) (* -2 z)) 2))) (* (pow x 2) z))) (* 4 (/ 1 z)))))
(* x (+ (* -1/16 (/ (* (+ (* -8 y) (* -2 z)) (- (* -1 (* y (+ (* -4 y) (* -2 z)))) (* 1/16 (pow (+ (* -8 y) (* -2 z)) 2)))) (* (pow x 3) z))) (+ (* 1/2 (/ (+ (* -8 y) (* -2 z)) (* x z))) (+ (* 1/2 (/ (- (* -1 (* y (+ (* -4 y) (* -2 z)))) (* 1/16 (pow (+ (* -8 y) (* -2 z)) 2))) (* (pow x 2) z))) (* 4 (/ 1 z))))))
(* -2 (/ (* x (* (sqrt -4) (sqrt -1))) z))
(* -1 (* x (+ (* -1 (/ (* (sqrt -1) (+ (* -8 y) (* -2 z))) (* x (* z (sqrt -4))))) (* 2 (/ (* (sqrt -4) (sqrt -1)) z)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* (sqrt -1) (- (* y (+ (* -4 y) (* -2 z))) (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (pow (sqrt -4) 2))))) (* x (* z (sqrt -4))))) (/ (* (sqrt -1) (+ (* -8 y) (* -2 z))) (* z (sqrt -4)))) x)) (* 2 (/ (* (sqrt -4) (sqrt -1)) z)))))
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sqrt -1) (* (+ (* -8 y) (* -2 z)) (- (* y (+ (* -4 y) (* -2 z))) (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (pow (sqrt -4) 2)))))) (* x (* z (pow (sqrt -4) 3))))) (/ (* (sqrt -1) (- (* y (+ (* -4 y) (* -2 z))) (* 1/4 (/ (pow (+ (* -8 y) (* -2 z)) 2) (pow (sqrt -4) 2))))) (* z (sqrt -4)))) x)) (/ (* (sqrt -1) (+ (* -8 y) (* -2 z))) (* z (sqrt -4)))) x)) (* 2 (/ (* (sqrt -4) (sqrt -1)) z)))))
(* 2 (* (sqrt (* x (+ (* -2 z) (* 4 x)))) (/ 1 z)))
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(+ (* 2 (* (sqrt (* x (+ (* -2 z) (* 4 x)))) (/ 1 z))) (* y (+ (* (sqrt (/ 1 (* x (+ (* -2 z) (* 4 x))))) (/ (* y (- 4 (* 1/4 (/ (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2) (* x (+ (* -2 z) (* 4 x))))))) z)) (* (sqrt (/ 1 (* x (+ (* -2 z) (* 4 x))))) (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) z)))))
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(* 4 (/ y z))
(* y (+ (* 1/2 (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (* y z))) (* 4 (/ 1 z))))
(* y (+ (* 1/2 (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (* y z))) (+ (* 1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2))) (* (pow y 2) z))) (* 4 (/ 1 z)))))
(* y (+ (* -1/16 (/ (* (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2)))) (* (pow y 3) z))) (+ (* 1/2 (/ (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) (* y z))) (+ (* 1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -4 x) (* -1 (+ (* -2 z) (* 4 x)))) 2))) (* (pow y 2) z))) (* 4 (/ 1 z))))))
(* -4 (/ y z))
(* -1 (* y (+ (* -1/2 (/ (+ (* -2 z) (* 8 x)) (* y z))) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -2 z) (* 8 x)) 2))) (* y z))) (* 1/2 (/ (+ (* -2 z) (* 8 x)) z))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (/ (* (+ (* -2 z) (* 8 x)) (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -2 z) (* 8 x)) 2)))) (* y z))) (* 1/2 (/ (- (* x (+ (* -2 z) (* 4 x))) (* 1/16 (pow (+ (* -2 z) (* 8 x)) 2))) z))) y)) (* 1/2 (/ (+ (* -2 z) (* 8 x)) z))) y)) (* 4 (/ 1 z)))))
(* 2 (sqrt (/ (- x y) z)))
(/ (+ (* -1/2 (sqrt (/ (pow z 3) (- x y)))) (* 2 (sqrt (* z (- x y))))) z)
(/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* -1/16 (sqrt (/ z (pow (- x y) 3))))))) z)
(/ (+ (* 2 (sqrt (* z (- x y)))) (* (pow z 2) (+ (* -1/2 (sqrt (/ 1 (* z (- x y))))) (* (pow z 2) (+ (* -1/16 (sqrt (/ 1 (* (pow z 3) (pow (- x y) 3))))) (* -1/64 (sqrt (/ 1 (* z (pow (- x y) 5)))))))))) z)
(sqrt -2)
(+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))
(+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (* 2 (/ (- x y) (* z (sqrt -2))))))
(+ (sqrt -2) (+ (* -2 (/ (pow (- x y) 2) (* (pow z 2) (pow (sqrt -2) 3)))) (+ (* 2 (/ (- x y) (* z (sqrt -2)))) (* 4 (/ (pow (- x y) 3) (* (pow z 3) (pow (sqrt -2) 5)))))))
(sqrt -2)
(+ (sqrt -2) (* 2 (/ (- x y) (* z (sqrt -2)))))
(+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* 2 (/ (pow (- x y) 2) (* z (pow (sqrt -2) 3))))) z)))
(+ (sqrt -2) (* -1 (/ (+ (* -2 (/ (- x y) (sqrt -2))) (* -1 (/ (+ (* -2 (/ (pow (- x y) 2) (pow (sqrt -2) 3))) (* 4 (/ (pow (- x y) 3) (* z (pow (sqrt -2) 5))))) z))) z)))
(sqrt (/ (+ (* -4 y) (* -2 z)) z))
(+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* 2 (* x (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z))))))))
(+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* -2 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3)))))) (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))))))
(+ (sqrt (/ (+ (* -4 y) (* -2 z)) z)) (* x (+ (* 2 (sqrt (/ 1 (* z (+ (* -4 y) (* -2 z)))))) (* x (+ (* -2 (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (* x (sqrt (/ 1 (* z (pow (+ (* -4 y) (* -2 z)) 5)))))))))))
(* 2 (sqrt (/ x z)))
(* x (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))
(* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z)))))))
(* x (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow x 5))) (pow (- (* -4 (/ y z)) 2) 2))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow x 7))) (pow (- (* -4 (/ y z)) 2) 3))) (+ (* 1/4 (* (sqrt (/ z (pow x 3))) (- (* -4 (/ y z)) 2))) (* 2 (sqrt (/ 1 (* x z))))))))
(* -1 (* (sqrt (/ x z)) (* (sqrt -4) (sqrt -1))))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow x 5))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 2)) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow x 7))) (/ (* (sqrt -1) (pow (- (* -4 (/ y z)) 2) 3)) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow x 3))) (/ (* (sqrt -1) (- (* -4 (/ y z)) 2)) (sqrt -4)))) (* (sqrt (/ 1 (* x z))) (* (sqrt -4) (sqrt -1))))))))
(sqrt (/ (+ (* -2 z) (* 4 x)) z))
(+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* -2 (* y (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x))))))))
(+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* -2 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3)))))))))
(+ (sqrt (/ (+ (* -2 z) (* 4 x)) z)) (* y (+ (* -2 (sqrt (/ 1 (* z (+ (* -2 z) (* 4 x)))))) (* y (+ (* -4 (* y (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 5)))))) (* -2 (sqrt (/ 1 (* z (pow (+ (* -2 z) (* 4 x)) 3))))))))))
(* (sqrt (/ y z)) (sqrt -4))
(* y (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))
(* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4)))))
(* y (+ (* -1/8 (* (sqrt (/ (pow z 3) (pow y 5))) (/ (pow (- (* 4 (/ x z)) 2) 2) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ (pow z 5) (pow y 7))) (/ (pow (- (* 4 (/ x z)) 2) 3) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ z (pow y 3))) (/ (- (* 4 (/ x z)) 2) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))))
(* -2 (* (sqrt (/ y z)) (sqrt -1)))
(* -1 (* y (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))
(* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1)))))))
(* -1 (* y (+ (* -1/64 (* (sqrt (/ (pow z 3) (pow y 5))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 2)))) (+ (* 1/512 (* (sqrt (/ (pow z 5) (pow y 7))) (* (sqrt -1) (pow (- (* 4 (/ x z)) 2) 3)))) (+ (* 1/4 (* (sqrt (/ z (pow y 3))) (* (sqrt -1) (- (* 4 (/ x z)) 2)))) (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))))))))
(* 1/4 (/ z (- x y)))
(* z (+ (* 1/8 (/ z (pow (- x y) 2))) (* 1/4 (/ 1 (- x y)))))
(* z (+ (* z (+ (* 1/16 (/ z (pow (- x y) 3))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))
(* z (+ (* z (+ (* z (+ (* 1/32 (/ z (pow (- x y) 4))) (* 1/16 (/ 1 (pow (- x y) 3))))) (* 1/8 (/ 1 (pow (- x y) 2))))) (* 1/4 (/ 1 (- x y)))))
-1/2
(- (/ y z) (+ 1/2 (/ x z)))
(- (+ (* 2 (/ (* (- x y) (- y x)) (pow z 2))) (/ y z)) (+ 1/2 (/ x z)))
(- (+ (* 4 (/ (* (pow (- x y) 2) (- y x)) (pow z 3))) (/ y z)) (+ 1/2 (+ (* -2 (/ (* (- x y) (- y x)) (pow z 2))) (/ x z))))
-1/2
(- (* -1 (/ (- x y) z)) 1/2)
(- (* -1 (/ (- (* 2 (/ (pow (- x y) 2) z)) (* -1 (- x y))) z)) 1/2)
(- (* -1 (/ (- (* -1 (/ (- (* -4 (/ (pow (- x y) 3) z)) (* 2 (pow (- x y) 2))) z)) (* -1 (- x y))) z)) 1/2)
(/ z (+ (* -4 y) (* -2 z)))
(+ (* -4 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 2))) (/ z (+ (* -4 y) (* -2 z))))
(+ (* x (- (* 16 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 3))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))
(+ (* x (- (* x (- (* -64 (/ (* x z) (pow (+ (* -4 y) (* -2 z)) 4))) (* -16 (/ z (pow (+ (* -4 y) (* -2 z)) 3))))) (* 4 (/ z (pow (+ (* -4 y) (* -2 z)) 2))))) (/ z (+ (* -4 y) (* -2 z))))
(* 1/4 (/ z x))
(/ (+ (* -1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)) (* 1/4 z)) x)
(/ (- (+ (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/4 z)) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x)
(/ (- (+ (* -1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) (pow x 3))) (* 1/4 z)) (+ (* -1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) (pow x 2))) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x)))) x)
(* 1/4 (/ z x))
(* -1 (/ (+ (* -1/4 z) (* 1/16 (/ (* z (+ (* -4 y) (* -2 z))) x))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/64 (/ (* z (pow (+ (* -4 y) (* -2 z)) 2)) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -4 y) (* -2 z)) 3)) x)) (* 1/64 (* z (pow (+ (* -4 y) (* -2 z)) 2)))) x)) (* 1/16 (* z (+ (* -4 y) (* -2 z))))) x)) (* -1/4 z)) x))
(/ z (+ (* -2 z) (* 4 x)))
(+ (* 4 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 2))) (/ z (+ (* -2 z) (* 4 x))))
(+ (* y (- (* 16 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 3))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))
(+ (* y (- (* y (- (* 64 (/ (* y z) (pow (+ (* -2 z) (* 4 x)) 4))) (* -16 (/ z (pow (+ (* -2 z) (* 4 x)) 3))))) (* -4 (/ z (pow (+ (* -2 z) (* 4 x)) 2))))) (/ z (+ (* -2 z) (* 4 x))))
(* -1/4 (/ z y))
(/ (+ (* -1/4 z) (* -1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)
(/ (- (+ (* -1/4 z) (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2)))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y))) y)
(/ (- (+ (* -1/4 z) (* -1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) (pow y 3)))) (+ (* 1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) (pow y 2))) (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)))) y)
(* -1/4 (/ z y))
(* -1 (/ (+ (* 1/16 (/ (* z (+ (* -2 z) (* 4 x))) y)) (* 1/4 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (* z (pow (+ (* -2 z) (* 4 x)) 2)) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (* z (pow (+ (* -2 z) (* 4 x)) 3)) y)) (* -1/64 (* z (pow (+ (* -2 z) (* 4 x)) 2)))) y)) (* 1/16 (* z (+ (* -2 z) (* 4 x))))) y)) (* 1/4 z)) y))
(+ (* -4 y) (* -2 z))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(* 4 x)
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(* x (+ 4 (+ (* -4 (/ y x)) (* -2 (/ z x)))))
(* 4 x)
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ (* -4 y) (* -2 z)) x)) 4)))
(+ (* -2 z) (* 4 x))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(+ (* -4 y) (+ (* -2 z) (* 4 x)))
(* -4 y)
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(* y (- (+ (* -2 (/ z y)) (* 4 (/ x y))) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -2 z) (* 4 x)) 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)))))
(* (sqrt (/ y z)) (sqrt -1))
(+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* y z))))) (* (sqrt (/ y z)) (sqrt -1)))
(+ (* x (+ (* -1/8 (* (/ x (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 3) z))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (/ 1 (sqrt -1)))))) (* (sqrt (/ y z)) (sqrt -1)))
(+ (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (/ 1 (sqrt -1)))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) z))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (/ x (pow (sqrt -1) 5)) (sqrt (/ 1 (* (pow y 5) z))))))))) (* (sqrt (/ y z)) (sqrt -1)))
(sqrt (/ x z))
(* x (+ (sqrt (/ 1 (* x z))) (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y))))
(* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))))))
(* x (+ (sqrt (/ 1 (* x z))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 2))) (* -1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (pow y 3)))))))
(* -1 (* (sqrt (/ x z)) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (* (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (* (pow y 3) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) (* y (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))))
(sqrt (/ x z))
(+ (sqrt (/ x z)) (* -1/2 (* (sqrt (/ 1 (* x z))) y)))
(+ (sqrt (/ x z)) (* y (+ (* -1/2 (sqrt (/ 1 (* x z)))) (* -1/8 (* (sqrt (/ 1 (* (pow x 3) z))) y)))))
(+ (sqrt (/ x z)) (* y (+ (* -1/2 (sqrt (/ 1 (* x z)))) (* y (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) z)))) (* -1/16 (* (sqrt (/ 1 (* (pow x 5) z))) y)))))))
(* (sqrt (/ y z)) (sqrt -1))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))))
(* -1 (* (sqrt (/ y z)) (sqrt -1)))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))))
(sqrt (/ (- x y) z))
(sqrt (/ (- x y) z))
(sqrt (/ (- x y) z))
(sqrt (/ (- x y) z))
(sqrt (/ (- x y) z))
(sqrt (/ (- x y) z))
(sqrt (/ (- x y) z))
(sqrt (/ (- x y) z))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
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)
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(fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 x x))))) (*.f64 y #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))) (sqrt.f64 (/.f64 x z)))
(+ (sqrt (/ x z)) (* y (+ (* -1/2 (sqrt (/ 1 (* x z)))) (* y (+ (* -1/8 (sqrt (/ 1 (* (pow x 3) z)))) (* -1/16 (* (sqrt (/ 1 (* (pow x 5) z))) y)))))))
(fma.f64 y (fma.f64 y (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 x (*.f64 x x))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 x #s(literal 5 binary64))))) (*.f64 y #s(literal -1/16 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))))) (sqrt.f64 (/.f64 x z)))
(* (sqrt (/ y z)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 y z)))
(* y (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))
(*.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z))))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))
(*.f64 y (fma.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z))))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)))))))
(* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* (/ x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))))
(*.f64 y (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))) (/.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z))))) (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt (/ y z)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 y z)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* y (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z))))) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1))))))
(neg.f64 (*.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z))))) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))) (*.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))))
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (sqrt -1)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (* (pow x 3) (sqrt -1)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* (* x (sqrt -1)) (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (sqrt -1)))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal 5 binary64))))) (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z))))) (*.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (pow.f64 y #s(literal 7 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/16 binary64)))))))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(sqrt (/ (- x y) z))
(sqrt.f64 (/.f64 (-.f64 x y) z))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z)))
(* (sqrt (/ (- x y) z)) (pow (sqrt -1) 2))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z)))

eval176.0ms (2%)

Memory
27.0MiB live, 286.3MiB allocated
Compiler

Compiled 25 311 to 2 989 computations (88.2% saved)

prune293.0ms (3.4%)

Memory
-9.0MiB live, 278.3MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 05521 057
Fresh000
Picked145
Done022
Total1 05681 064
Accuracy
100.0%
Counts
1 064 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓68.7%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
▶59.9%
(/.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) z)
✓67.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓36.5%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓36.9%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
▶36.8%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓33.7%
#s(literal -2 binary64)
Compiler

Compiled 69 to 52 computations (24.6% saved)

simplify186.0ms (2.2%)

Memory
-0.1MiB live, 270.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
✓cost-diff0
(/.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) z)
✓cost-diff704
(*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))
✓cost-diff0
(/.f64 #s(literal -4 binary64) z)
✓cost-diff0
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
Rules
4 872×*-lowering-*.f32
4 872×*-lowering-*.f64
3 194×/-lowering-/.f32
3 194×/-lowering-/.f64
2 546×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
12746
24846
36542
48642
517842
646142
7186442
8256842
9264942
10271442
11279742
12290242
13302442
14566842
15631742
16738842
17790442
0812939
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ -4 z) y)
(/ -4 z)
-4
z
y
(/ (* y (+ (* 4 (/ x y)) -4)) z)
(* y (+ (* 4 (/ x y)) -4))
y
(+ (* 4 (/ x y)) -4)
4
(/ x y)
x
-4
z
Outputs
(* (/ -4 z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
-4
#s(literal -4 binary64)
z
y
(/ (* y (+ (* 4 (/ x y)) -4)) z)
(/.f64 (fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x)) z)
(* y (+ (* 4 (/ x y)) -4))
(fma.f64 #s(literal -4 binary64) y (*.f64 #s(literal 4 binary64) x))
y
(+ (* 4 (/ x y)) -4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
4
#s(literal 4 binary64)
(/ x y)
(/.f64 x y)
x
-4
#s(literal -4 binary64)
z

localize41.0ms (0.5%)

Memory
-0.0MiB live, 78.9MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(/.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) z)
✓accuracy82.1%
(*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64)))
✓accuracy100.0%
(/.f64 #s(literal -4 binary64) z)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
Samples
27.0ms256×0valid
Compiler

Compiled 45 to 14 computations (68.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 6.0ms (51.8% of total)
ival-mult: 4.0ms (34.5% of total)
ival-add: 1.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (* (/ -4 z) y)>
#<alt (/ -4 z)>
#<alt (* y (+ (* 4 (/ x y)) -4))>
#<alt (/ (* y (+ (* 4 (/ x y)) -4)) z)>
#<alt (+ (* 4 (/ x y)) -4)>
#<alt (/ x y)>
Outputs
#<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)>
#<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 (* -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 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 (/ 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 (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt (/ (* y (- (* 4 (/ x y)) 4)) z)>
#<alt -4>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (* 4 (/ x y))>
#<alt (* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))>
#<alt (* 4 (/ x y))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))>
#<alt (* 4 (/ x y))>
#<alt (/ (+ (* -4 y) (* 4 x)) y)>
#<alt (/ (+ (* -4 y) (* 4 x)) y)>
#<alt (/ (+ (* -4 y) (* 4 x)) y)>
#<alt -4>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (- (* 4 (/ x y)) 4)>
#<alt -4>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (- (* 4 (/ x y)) 4)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

36 calls:

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

rewrite359.0ms (4.2%)

Memory
-41.2MiB live, 450.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 112×/-lowering-/.f32
4 112×/-lowering-/.f64
3 550×*-lowering-*.f32
3 550×*-lowering-*.f64
3 306×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
16238
239038
3389534
0837131
Stop Event
1×iter limit
1×node limit
Counts
6 → 467
Calls
Call 1
Inputs
(* (/ -4 z) y)
(/ -4 z)
(* y (+ (* 4 (/ x y)) -4))
(/ (* y (+ (* 4 (/ x y)) -4)) z)
(+ (* 4 (/ x y)) -4)
(/ x y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) z) y))
(neg.f64 (*.f64 y (/.f64 #s(literal 4 binary64) z)))
(neg.f64 (/.f64 (*.f64 y #s(literal 4 binary64)) z))
(/.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 z (*.f64 #s(literal -4 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)))))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64))))
(/.f64 (*.f64 y #s(literal 4 binary64)) (neg.f64 z))
(/.f64 (/.f64 y z) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 4 binary64))) z)
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) z)
(/.f64 (neg.f64 (/.f64 y z)) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 4 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal -1 binary64))) z)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 z))
(pow.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(*.f64 y (/.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
(*.f64 #s(literal 4 binary64) (/.f64 y (neg.f64 z)))
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(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))

simplify236.0ms (2.7%)

Memory
38.3MiB live, 272.7MiB allocated
Algorithm
1×egg-herbie
Rules
4 498×accelerator-lowering-fma.f32
4 498×accelerator-lowering-fma.f64
2 462×*-lowering-*.f32
2 462×*-lowering-*.f64
2 370×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063876
1182876
2515876
31432720
43398720
56539720
08015702
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -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 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(/ -4 z)
(* 4 x)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* -4 y)
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* -4 y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -4 y)
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(+ (* -4 y) (* 4 x))
(* 4 x)
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* x (+ 4 (* -4 (/ y x))))
(* 4 x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* 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)))))
(* -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)))))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
(/ (* y (- (* 4 (/ x y)) 4)) z)
-4
(- (* 4 (/ x y)) 4)
(- (* 4 (/ x y)) 4)
(- (* 4 (/ x y)) 4)
(* 4 (/ x y))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(/ (+ (* -4 y) (* 4 x)) y)
(/ (+ (* -4 y) (* 4 x)) y)
(/ (+ (* -4 y) (* 4 x)) y)
-4
(- (* 4 (/ x y)) 4)
(- (* 4 (/ x y)) 4)
(- (* 4 (/ x y)) 4)
-4
(- (* 4 (/ x y)) 4)
(- (* 4 (/ x y)) 4)
(- (* 4 (/ x y)) 4)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(* -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 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)
(*.f64 #s(literal 4 binary64) x)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* y (- (* 4 (/ x y)) 4))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(+ (* -4 y) (* 4 x))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* x (+ 4 (* -4 (/ y x))))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 #s(literal -4 binary64) (-.f64 y x))
(* 4 (/ x z))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -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) z) (-.f64 x y))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* y (- (* 4 (/ x (* y z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -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) z) (-.f64 x y))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -1 (* y (+ (* -4 (/ x (* y z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -4 (/ y z))
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(+ (* -4 (/ y z)) (* 4 (/ x z)))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 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) z) (-.f64 x y))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* x (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* 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) z) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(* -1 (* x (- (* 4 (/ y (* x z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
(/ (* y (- (* 4 (/ x y)) 4)) z)
(*.f64 (/.f64 #s(literal 4 binary64) z) (-.f64 x y))
-4
#s(literal -4 binary64)
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* x (- (* 4 (/ 1 y)) (* 4 (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(* 4 (/ x y))
(/.f64 (*.f64 #s(literal 4 binary64) x) y)
(/ (+ (* -4 y) (* 4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(/ (+ (* -4 y) (* 4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(/ (+ (* -4 y) (* 4 x)) y)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(- (* 4 (/ x y)) 4)
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval145.0ms (1.7%)

Memory
-34.4MiB live, 170.5MiB allocated
Compiler

Compiled 11 384 to 1 363 computations (88% saved)

prune83.0ms (1%)

Memory
8.9MiB live, 169.5MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New6110611
Fresh000
Picked022
Done066
Total6118619
Accuracy
100.0%
Counts
619 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.6%
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
✓68.7%
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
✓59.9%
(/.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) z)
✓67.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
✓36.5%
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
✓36.9%
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
✓36.8%
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
✓33.7%
#s(literal -2 binary64)
Compiler

Compiled 189 to 96 computations (49.2% saved)

regimes24.0ms (0.3%)

Memory
11.1MiB live, 52.4MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(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 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(/.f64 (*.f64 y (fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal -4 binary64))) z)
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 x y) z))))
(*.f64 (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 #s(literal 4 binary64) (-.f64 x y) (*.f64 z #s(literal -2 binary64)))) #s(literal -1/2 binary64)))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Calls

5 calls:

7.0ms
z
4.0ms
(-.f64 x y)
4.0ms
y
4.0ms
x
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes20.0ms (0.2%)

Memory
-21.2MiB live, 56.9MiB 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) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(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 (fma.f64 z #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) y)) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)
Calls

5 calls:

5.0ms
x
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
4.0ms
z
3.0ms
y
3.0ms
(-.f64 x y)
Results
AccuracySegmentsBranch
89.8%3x
92.7%4y
90.8%3z
98.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
88.4%4(-.f64 x y)
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory
32.0MiB live, 32.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(neg.f64 (fma.f64 y (/.f64 #s(literal 4 binary64) z) #s(literal 2 binary64)))
Outputs
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
Calls

3 calls:

3.0ms
z
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
75.3%3z
90.7%3y
76.9%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes16.0ms (0.2%)

Memory
-18.7MiB live, 19.9MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Calls

3 calls:

10.0ms
y
2.0ms
x
2.0ms
(-.f64 x y)
Results
AccuracySegmentsBranch
73.5%2(-.f64 x y)
86.8%3x
71.9%3y
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (0.4%)

Memory
-12.5MiB live, 26.5MiB allocated
Counts
4 → 6
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) x) z)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Calls

5 calls:

26.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(-.f64 x y)
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
63.3%5y
59.7%4(-.f64 x y)
65.8%6z
75.6%6(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
62.1%5x
Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -2 binary64)
(*.f64 (/.f64 #s(literal -4 binary64) z) y)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Outputs
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal -4 binary64) y) z)
Calls

1 calls:

2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
67.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
67.5%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
20.3MiB live, 20.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(-.f64 x y)
1.0ms
x
1.0ms
y
1.0ms
z
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
33.7%1(-.f64 x y)
33.7%1x
33.7%1y
33.7%1z
33.7%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
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1104.407364605484
7013690.499816604
0.0ms
-9.936201919211373e+30
-1.0350027961958836e+27
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch30.0ms (0.3%)

Memory
-0.1MiB live, 73.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.7653527353600095e+102
7.127423509549234e+108
13.0ms
-4392801965342414000.0
-789896359347887.0
Samples
16.0ms272×0valid
Compiler

Compiled 357 to 288 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (40.7% of total)
ival-sub: 3.0ms (30.5% of total)
ival-mult: 3.0ms (30.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Memory
-24.4MiB live, 66.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
4.275767684786976e+196
3.1793176385297624e+199
13.0ms
-1.6832134364835746e+157
-3.001526532787603e+154
Samples
16.0ms256×0valid
Compiler

Compiled 321 to 256 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (39.8% of total)
ival-sub: 3.0ms (29.9% of total)
ival-mult: 3.0ms (29.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
2.8549299267348906e+131
9.79306972217793e+134
0.0ms
-1.92186569964787
69.56055770275782
0.0ms
-1480045.0549420663
-357527.04787333455
0.0ms
-8.754894627409011e+164
-7.526776859148477e+163
0.0ms
-2.3334421980383197e+306
-7.074872325354466e+305
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.92186569964787
69.56055770275782
0.0ms
-357527.04787333455
-2.0000006975689657
Compiler

Compiled 17 to 16 computations (5.9% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.92186569964787
69.56055770275782
0.0ms
-357527.04787333455
-2.0000006975689657
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify17.0ms (0.2%)

Memory
-6.8MiB live, 29.6MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
10×if-if-or-not_binary32
8×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063261
189261
2103261
3111261
4116261
5117261
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 -4999999999999999817948147482624 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 2000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 y #s(literal -1950000000000000000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (if (<=.f64 y #s(literal 3600000000000000166039865959776532940099757865137360072296060907709035148082832127271489166400129335296 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -779999999999999960345063098244882757094418733214598526862131419436882582430454444173221967970030288827021411145366163702202650778142634762913852782435893248 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 x #s(literal 43999999999999999510111095965031764439875451505683813882631462015498211582762752282686031277521555563504671553416926044789726958822746642565657668240326520727339546414428544827892562128811788861440 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656 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 -1000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000 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 -4999999999999999817948147482624 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 2000 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x y)) z)))
(if (<=.f64 y #s(literal -1950000000000000000 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (if (<=.f64 y #s(literal 3600000000000000166039865959776532940099757865137360072296060907709035148082832127271489166400129335296 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 x z) #s(literal -2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))))
(if (<=.f64 x #s(literal -779999999999999960345063098244882757094418733214598526862131419436882582430454444173221967970030288827021411145366163702202650778142634762913852782435893248 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 x #s(literal 43999999999999999510111095965031764439875451505683813882631462015498211582762752282686031277521555563504671553416926044789726958822746642565657668240326520727339546414428544827892562128811788861440 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656 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 -1000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (/.f64 (*.f64 #s(literal -4 binary64) y) z))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -499999999999999949744946725916742463616729199870270210168475669427760178562522141308143785173381560448289292588852435695614598737032033598249132386803550778772422656 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 -1000000 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal 499999999999999995414783701180638281843304424991242455992046113258834575832799818100521466993270785184801126587914991362494731124736 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) x) z) (/.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 -200000 binary64)) (/.f64 (*.f64 #s(literal -4 binary64) y) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) y) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -200000 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) (/.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 -200000 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 -200000 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)

soundness794.0ms (9.2%)

Memory
32.6MiB live, 466.2MiB allocated
Rules
9 634×accelerator-lowering-fma.f32
9 634×accelerator-lowering-fma.f64
9 026×accelerator-lowering-fma.f32
9 026×accelerator-lowering-fma.f64
6 976×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271088
13901087
211191031
33256885
08216800
027104
1138104
21074104
0893798
02494
113091
296391
0856283
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 390 to 146 computations (62.6% saved)

preprocess151.0ms (1.7%)

Memory
14.3MiB live, 127.2MiB allocated
Compiler

Compiled 634 to 168 computations (73.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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