Graphics.Rasterific.Shading:$sradialGradientWithFocusShader from Rasterific-0.6.1, B

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.1s (13.9%)

Memory
34.4MiB live, 1 243.3MiB allocated
Samples
598.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 300.0ms
ival-mult: 218.0ms (72.7% of total)
ival-sub: 69.0ms (23% of total)
ival-true: 5.0ms (1.7% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain280.0ms (3.5%)

Memory
-21.0MiB live, 140.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
160-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
50-0-(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
00-0-t
00-0-(*.f64 y #s(literal 4 binary64))
00-0-z
00-0-#s(literal 4 binary64)
00-0-(*.f64 x x)
00-0-(*.f64 z z)
00-0-y
00-0-(-.f64 (*.f64 z z) t)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))nan-rescue160
↳(*.f64 x x)overflow59
↳(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))overflow100
↳(-.f64 (*.f64 z z) t)overflow60
↳(*.f64 z z)overflow60
*.f64(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))n*o50
Confusion
Predicted +Predicted -
+200
-1235
Precision
0.9523809523809523
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2000
-10235
Precision?
0.9523809523809523
Recall?
1.0
Freqs
test
numberfreq
0235
121
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
35.0ms512×0valid
Compiler

Compiled 140 to 48 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (67.9% of total)
ival-sub: 4.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess234.0ms (2.9%)

Memory
-21.1MiB live, 95.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052190
1167186
2599182
32702182
44916182
56296182
66716182
76825182
86842182
97198182
107372182
117372182
127372182
137372182
01113
01713
12813
27913
328713
467713
5119013
6180713
7211413
8216813
9217413
10217413
0217412
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
Symmetry

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.2%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify57.0ms (0.7%)

Memory
16.4MiB live, 53.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
cost-diff0
(*.f64 x x)
cost-diff128
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
01741
12841
27941
328741
467741
5119041
6180741
7211441
8216841
9217441
10217441
0217440
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal -4 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

localize31.0ms (0.4%)

Memory
12.5MiB live, 48.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 4 binary64))
accuracy0.0
(*.f64 x x)
accuracy1.2520956529177412
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
accuracy3.601545986641647
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Samples
25.0ms256×0valid
Compiler

Compiled 84 to 24 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (55.7% of total)
ival-sub: 4.0ms (37.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series83.0ms (1%)

Memory
-17.2MiB live, 29.0MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
Calls

12 calls:

TimeVariablePointExpression
63.0ms
x
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
11.0ms
x
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
2.0ms
y
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms
y
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms
y
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))

simplify321.0ms (4%)

Memory
17.1MiB live, 209.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068238
1206238
2660238
32610238
47862238
08357226
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* y (- (pow z 2) t)))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 (* t y))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 4 binary64))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))

rewrite166.0ms (2.1%)

Memory
2.5MiB live, 195.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
01728
15628
242228
3535728
0852527
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 187
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))))
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(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (-.f64 t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (-.f64 (*.f64 z z) t))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 z z t) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z t) t)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (+.f64 (pow.f64 (*.f64 (fma.f64 z z t) t) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z t) t) (-.f64 (*.f64 (fma.f64 z z t) t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y)))
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y)))
(*.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (*.f64 z z) t))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(*.f64 y (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)))
(pow.f64 (/.f64 (fma.f64 z z t) (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) y)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z z t)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z t)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) t) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) (*.f64 (*.f64 #s(literal -4 binary64) y) t)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) t) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) (*.f64 (*.f64 #s(literal -4 binary64) y) t)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y) (fma.f64 z z t))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z t)))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z t) (*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 4 binary64)) y)))
(/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) z) z (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(fma.f64 (*.f64 #s(literal -4 binary64) t) y (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(fma.f64 #s(literal -1 binary64) (*.f64 t (*.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (*.f64 #s(literal -4 binary64) y) t (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (neg.f64 t) (*.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (*.f64 z z) (*.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(fma.f64 z (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 t) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 z z) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(fma.f64 #s(literal 4 binary64) (*.f64 y (neg.f64 t)) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 #s(literal 4 binary64) (*.f64 y (*.f64 z z)) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(fma.f64 y (*.f64 #s(literal -4 binary64) t) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(fma.f64 y (*.f64 (*.f64 z z) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) t) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))
(+.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval137.0ms (1.7%)

Memory
3.7MiB live, 41.3MiB allocated
Compiler

Compiled 6 218 to 552 computations (91.1% saved)

prune115.0ms (1.4%)

Memory
-37.9MiB live, 52.5MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New18910199
Fresh000
Picked101
Done000
Total19010200
Accuracy
100.0%
Counts
200 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.5%
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
▶93.3%
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
56.0%
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (*.f64 x x))
▶95.3%
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
92.1%
(-.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
▶66.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
▶65.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
65.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
39.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶32.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 370 to 284 computations (23.2% saved)

simplify59.0ms (0.7%)

Memory
40.4MiB live, 74.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
cost-diff128
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
cost-diff512
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff0
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 t y)
cost-diff0
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
cost-diff0
(*.f64 t y)
cost-diff0
(*.f64 (*.f64 t y) #s(literal 4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(*.f64 (-.f64 (*.f64 z z) t) y)
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
cost-diff0
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032207
052202
197199
2198199
3460199
4815199
51241199
61490199
71665199
81701199
91707199
101707199
01707199
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
x
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t y)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (neg.f64 t) y)
(neg.f64 t)
t
(*.f64 x x)
x
Outputs
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
x
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(*.f64 y (-.f64 (*.f64 z z) t))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(*.f64 (neg.f64 t) y)
(neg.f64 t)
t
(*.f64 x x)
x

localize143.0ms (1.8%)

Memory
-28.7MiB live, 166.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy0.0
(neg.f64 t)
accuracy1.4101562500000002
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
accuracy3.488251662894093
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy3.214827236641647
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
accuracy4.590836358238211
(*.f64 (*.f64 z z) y)
accuracy16.83591738115392
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 t y)
accuracy1.4101562500000002
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
accuracy21.49820949908933
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 t y)
accuracy0.021816259768442016
(*.f64 (*.f64 t y) #s(literal 4 binary64))
accuracy43.13727262295389
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
accuracy0.0
(*.f64 z z)
accuracy0.017910009768442016
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy1.252207063536497
(*.f64 (-.f64 (*.f64 z z) t) y)
accuracy2.003884230844482
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
Samples
59.0ms256×0valid
Compiler

Compiled 396 to 64 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 32.0ms (77.3% of total)
ival-add: 5.0ms (12.1% of total)
ival-sub: 2.0ms (4.8% of total)
ival-neg: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
19 → 60
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(neg.f64 t)
Outputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* y (- (pow z 2) t))
(* t y)
(* y (pow z 2))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(+ (* -1 t) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
Calls

12 calls:

TimeVariablePointExpression
4.0ms
t
@0
((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* z z) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (neg t))
3.0ms
y
@-inf
((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* z z) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (neg t))
3.0ms
x
@0
((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* z z) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (neg t))
3.0ms
y
@inf
((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* z z) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (neg t))
2.0ms
y
@0
((+ (* x x) (* (* (- (* z z) t) y) -4)) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* z z) (+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (neg t))

simplify138.0ms (1.7%)

Memory
10.9MiB live, 160.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157552
1523552
21622552
34512552
47744552
08194519
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* y (- (pow z 2) t))
(* t y)
(* y (pow z 2))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(+ (* -1 t) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* y (- (pow z 2) t))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* t y)
(*.f64 y t)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -4 (* y z))
(*.f64 (*.f64 y z) #s(literal -4 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t y))
(*.f64 (neg.f64 y) t)
(+ (* -1 (* t y)) (* y (pow z 2)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(-.f64 (*.f64 z z) t)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))

rewrite281.0ms (3.5%)

Memory
-17.9MiB live, 272.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032170
052165
1177162
21373162
08688162
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 645
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(neg.f64 t)
Outputs
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t)) y (*.f64 (neg.f64 x) x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 y (-.f64 (*.f64 z z) t)))))))
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (*.f64 z z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t))) (fma.f64 #s(literal 4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 y t) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 y t) #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))))))))
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(/.f64 (*.f64 (neg.f64 t) t) (-.f64 #s(literal 0 binary64) (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 t) t) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 t) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 (neg.f64 t) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t)))))
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64)))
(/.f64 (*.f64 t t) (neg.f64 t))
(neg.f64 t)
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) t))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) t)
(+.f64 #s(literal 0 binary64) (neg.f64 t))

eval93.0ms (1.2%)

Memory
5.4MiB live, 132.4MiB allocated
Compiler

Compiled 15 248 to 1 551 computations (89.8% saved)

prune25.0ms (0.3%)

Memory
9.7MiB live, 47.8MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New5036509
Fresh235
Picked415
Done000
Total50910519
Accuracy
100.0%
Counts
519 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.5%
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
54.6%
(fma.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (*.f64 #s(literal -4 binary64) y)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (*.f64 x x))
▶95.2%
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
68.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
66.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
▶66.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
▶65.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
39.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓32.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
▶32.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 375 to 285 computations (24% saved)

simplify153.0ms (1.9%)

Memory
-20.5MiB live, 62.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z z)
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(*.f64 (-.f64 (*.f64 z z) t) y)
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
cost-diff0
(*.f64 y t)
cost-diff0
(*.f64 (*.f64 y t) #s(literal 4 binary64))
cost-diff0
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
cost-diff0
(*.f64 t #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
cost-diff1088
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031203
047207
182196
2147196
3389196
4817196
51429196
62259196
72648196
82703196
92708196
102708196
02708196
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
x
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
#s(literal 1 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))
x
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 y t)
y
t
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
y
#s(literal -4 binary64)
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 x x)
x
Outputs
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
x
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
#s(literal 1 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) t)
t
#s(literal 4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
x
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 y t)
(*.f64 t y)
y
t
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
y
#s(literal -4 binary64)
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
(*.f64 x x)
x

localize100.0ms (1.2%)

Memory
32.2MiB live, 138.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy3.3468025673880826
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
accuracy0.0
(*.f64 z z)
accuracy0.017910009768442016
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy1.252207063536497
(*.f64 (-.f64 (*.f64 z z) t) y)
accuracy21.31466924122588
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy0.0
(*.f64 y t)
accuracy0.021816259768442016
(*.f64 (*.f64 y t) #s(literal 4 binary64))
accuracy1.7538869832389217
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))
accuracy21.49820949908933
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
accuracy0.0
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
accuracy0.0
(*.f64 t #s(literal 4 binary64))
accuracy43.13727262295389
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy0.09375
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
accuracy1.3302206529177412
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))
accuracy2.003884230844482
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
Samples
82.0ms256×0valid
Compiler

Compiled 386 to 60 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (42.5% of total)
ival-div: 12.0ms (28.3% of total)
ival-sub: 9.0ms (21.2% of total)
ival-add: 3.0ms (7.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.5%)

Memory
-16.0MiB live, 35.6MiB allocated
Counts
18 → 67
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
(*.f64 #s(literal -4 binary64) y)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 y t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(*.f64 z z)
(*.f64 x x)
Outputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* -4 y)
(* t y)
(* y (- (pow z 2) t))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(/ -1 t)
(- (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t))
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 3))) (/ 1 (pow t 2)))) (/ 1 t))
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(/ 1 (pow z 2))
(/ (+ 1 (/ t (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (pow t 3) (pow z 6))) (+ (* -1 (/ t (pow z 2))) (* -1 (/ (pow t 2) (pow z 4))))) (pow z 2))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (/ 1 (pow z 2)) (/ t (pow z 4)))
(+ (* t (+ (/ 1 (pow z 4)) (/ t (pow z 6)))) (/ 1 (pow z 2)))
(+ (* t (+ (* t (+ (/ 1 (pow z 6)) (/ t (pow z 8)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2)))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(+ (* -1 t) (pow z 2))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(/ (- (* -1 (/ (pow z 2) t)) 1) t)
(/ (- (* -1 (/ (pow z 4) (pow t 2))) (+ 1 (/ (pow z 2) t))) t)
(/ (- (* -1 (/ (pow z 6) (pow t 3))) (+ 1 (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2))))) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (/ (+ 1 (/ (pow z 2) t)) t))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 4) t)) (pow z 2)) t))) t))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) t) (* -1 (pow z 4))) t)) (pow z 2)) t))) t))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Calls

12 calls:

TimeVariablePointExpression
26.0ms
x
@0
((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (* z z) (* x x))
2.0ms
y
@-inf
((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (* z z) (* x x))
2.0ms
t
@-inf
((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (* z z) (* x x))
2.0ms
t
@inf
((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (* z z) (* x x))
2.0ms
z
@inf
((/ (* -4 y) (/ 1 (- (* z z) t))) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (* -4 y) (/ 1 (- (* z z) t)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* y t) 4)) (* (* y t) 4) (* y t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (* z z) (* x x))

simplify175.0ms (2.2%)

Memory
-19.4MiB live, 174.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0217883
1659861
21989828
36299816
08078769
Stop Event
1×iter limit
1×node limit
Counts
67 → 67
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* -4 y)
(* t y)
(* y (- (pow z 2) t))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(/ -1 t)
(- (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t))
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 3))) (/ 1 (pow t 2)))) (/ 1 t))
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(/ 1 (pow z 2))
(/ (+ 1 (/ t (pow z 2))) (pow z 2))
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2))
(/ (- (+ 1 (/ (pow t 3) (pow z 6))) (+ (* -1 (/ t (pow z 2))) (* -1 (/ (pow t 2) (pow z 4))))) (pow z 2))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (/ 1 (pow z 2)) (/ t (pow z 4)))
(+ (* t (+ (/ 1 (pow z 4)) (/ t (pow z 6)))) (/ 1 (pow z 2)))
(+ (* t (+ (* t (+ (/ 1 (pow z 6)) (/ t (pow z 8)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2)))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(+ (* -1 t) (pow z 2))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(/ (- (* -1 (/ (pow z 2) t)) 1) t)
(/ (- (* -1 (/ (pow z 4) (pow t 2))) (+ 1 (/ (pow z 2) t))) t)
(/ (- (* -1 (/ (pow z 6) (pow t 3))) (+ 1 (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2))))) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (/ (+ 1 (/ (pow z 2) t)) t))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 4) t)) (pow z 2)) t))) t))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) t) (* -1 (pow z 4))) t)) (pow z 2)) t))) t))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 4 binary64)) t #s(literal 1 binary64)) (*.f64 x x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* t y)
(*.f64 t y)
(* y (- (pow z 2) t))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (+ (* 4 t) (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)
(- (* -1 (/ (pow z 2) (pow t 2))) (/ 1 t))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) t)
(- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 3))) (/ 1 (pow t 2)))) (/ 1 t))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t)) t)
(- (* (pow z 2) (- (* (pow z 2) (- (* -1 (/ (pow z 2) (pow t 4))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))) (/ 1 t))
(fma.f64 (*.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (neg.f64 (pow.f64 t #s(literal 4 binary64)))) (fma.f64 (/.f64 z (pow.f64 t #s(literal 3 binary64))) z (/.f64 (/.f64 #s(literal 1 binary64) t) t))) z) z (/.f64 #s(literal -1 binary64) t))
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* -1 (* t y))
(*.f64 (neg.f64 y) t)
(+ (* -1 (* t y)) (* y (pow z 2)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(pow z 2)
(*.f64 z z)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y))) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y)) (*.f64 (/.f64 (/.f64 x z) z) x)) (*.f64 z z))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/ (+ 1 (/ t (pow z 2))) (pow z 2))
(/.f64 (/.f64 (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z) z)
(/ (- (+ 1 (/ (pow t 2) (pow z 4))) (* -1 (/ t (pow z 2)))) (pow z 2))
(/.f64 (/.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) t (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64))) z) z)
(/ (- (+ 1 (/ (pow t 3) (pow z 6))) (+ (* -1 (/ t (pow z 2))) (* -1 (/ (pow t 2) (pow z 4))))) (pow z 2))
(/.f64 (+.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) t (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 z z))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y)) (*.f64 (/.f64 (/.f64 x z) z) x)) (*.f64 z z))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(*.f64 (fma.f64 (/.f64 y (neg.f64 z)) (/.f64 t z) y) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (/ 1 (pow z 2)) (/ t (pow z 4)))
(/.f64 (/.f64 (+.f64 (/.f64 t (*.f64 z z)) #s(literal 1 binary64)) z) z)
(+ (* t (+ (/ 1 (pow z 4)) (/ t (pow z 6)))) (/ 1 (pow z 2)))
(+.f64 (fma.f64 (/.f64 t (pow.f64 z #s(literal 6 binary64))) t (/.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 t (pow.f64 z #s(literal 4 binary64))))
(+ (* t (+ (* t (+ (/ 1 (pow z 6)) (/ t (pow z 8)))) (/ 1 (pow z 4)))) (/ 1 (pow z 2)))
(fma.f64 (fma.f64 (+.f64 (/.f64 t (pow.f64 z #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) t (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) t (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* 4 t)
(*.f64 #s(literal 4 binary64) t)
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(/ (- (* -1 (/ (pow z 2) t)) 1) t)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) t)
(/ (- (* -1 (/ (pow z 4) (pow t 2))) (+ 1 (/ (pow z 2) t))) t)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t)) t)
(/ (- (* -1 (/ (pow z 6) (pow t 3))) (+ 1 (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2))))) t)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (pow.f64 z #s(literal 4 binary64))) t)) t)) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* t (+ (* 4 y) (/ (pow x 2) t)))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 x x) t)) t)
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))
(* t (- (/ (pow z 2) t) 1))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* -1 (/ (+ 1 (/ (pow z 2) t)) t))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z z) t)) t)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 4) t)) (pow z 2)) t))) t))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 4 binary64)) t)) t)) t)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 6) t) (* -1 (pow z 4))) t)) (pow z 2)) t))) t))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z z (/.f64 (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (pow.f64 z #s(literal 4 binary64))) t)) t)) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 x x) t)) t)
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(*.f64 (*.f64 t y) (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)

rewrite226.0ms (2.8%)

Memory
30.8MiB live, 263.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031162
047166
1155155
21217155
08715155
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 758
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t)))
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
(*.f64 #s(literal -4 binary64) y)
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 y t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(*.f64 z z)
(*.f64 x x)
Outputs
(*.f64 (neg.f64 (*.f64 (-.f64 (*.f64 z z) t) y)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 z z) t)) y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 z z t)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 z z t)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 y (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 z z t)))
(*.f64 (/.f64 y (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -4 binary64) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (/.f64 y (fma.f64 z z t)))
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 y (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))) (/.f64 y (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y #s(literal -4 binary64)) (pow.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) #s(literal -1 binary64))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
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(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t)) y) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t)) y) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
(+.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 z) z) #s(literal -1 binary64))
(/.f64 (*.f64 z z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval371.0ms (4.6%)

Memory
-0.4MiB live, 123.0MiB allocated
Compiler

Compiled 21 293 to 2 339 computations (89% saved)

prune125.0ms (1.5%)

Memory
-34.9MiB live, 51.4MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New7773780
Fresh134
Picked325
Done011
Total7819790
Accuracy
100.0%
Counts
790 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
▶66.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
✓66.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
▶65.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
▶39.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
65.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
✓32.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
✓32.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
▶70.5%
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
Compiler

Compiled 372 to 266 computations (28.5% saved)

simplify241.0ms (3%)

Memory
36.9MiB live, 109.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) z)
cost-diff0
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 t #s(literal 4 binary64))
cost-diff0
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff0
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
cost-diff0
(fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
cost-diff1728
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040281
063281
1119279
2249279
3630279
42064279
56243269
08242262
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
(*.f64 (-.f64 t (*.f64 z z)) y)
(-.f64 t (*.f64 z z))
t
(*.f64 z z)
z
y
x
(/.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
#s(literal -4 binary64)
(*.f64 x x)
x
Outputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x)))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 (-.f64 t (*.f64 z z)) x) x) (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
(*.f64 (/.f64 (-.f64 t (*.f64 z z)) x) y)
(*.f64 (-.f64 t (*.f64 z z)) y)
(-.f64 t (*.f64 z z))
t
(*.f64 z z)
z
y
x
(/.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) t)
t
#s(literal 4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 z z) y)
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -4 binary64)
(*.f64 x x)
x

localize175.0ms (2.2%)

Memory
-43.5MiB live, 210.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.12109375
(*.f64 (*.f64 y z) z)
accuracy3.214827236641647
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
accuracy16.83591738115392
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
accuracy0.0
(*.f64 z z)
accuracy1.2520956529177412
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)
accuracy21.31466924122588
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 t #s(literal 4 binary64))
accuracy0.0078125
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
accuracy21.49820949908933
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
accuracy0.0
(*.f64 z z)
accuracy0.015625
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy4.590836358238211
(*.f64 (*.f64 z z) y)
accuracy38.256879932351126
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy1.252207063536497
(*.f64 (-.f64 t (*.f64 z z)) y)
accuracy2.6263208961779076
(fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
accuracy7.2052851485422735
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
accuracy16.138434489783585
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
Samples
143.0ms256×0valid
Compiler

Compiled 511 to 80 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-mult: 98.0ms (79% of total)
ival-sub: 15.0ms (12.1% of total)
ival-div: 6.0ms (4.8% of total)
ival-add: 4.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.5%)

Memory
-2.0MiB live, 75.2MiB allocated
Counts
21 → 90
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
(-.f64 (*.f64 z z) t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
(*.f64 (-.f64 t (*.f64 z z)) y)
Outputs
(* 4 (* y (- t (pow z 2))))
(+ (* 4 (* y (- t (pow z 2)))) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (/ (* y (- t (pow z 2))) (pow x 2)))
(/ (+ (* 4 (* y (- t (pow z 2)))) (pow x 2)) (pow x 2))
(/ (* y (- t (pow z 2))) x)
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* 4 (/ (* y (- t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
1
(+ 1 (* 4 (/ (* y (- t (pow z 2))) (pow x 2))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* y (pow z 2))
(* y z)
(* y (- t (pow z 2)))
(* y (+ (* 4 (- t (pow z 2))) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (+ (* 4 (/ (- t (pow z 2)) (pow x 2))) (/ 1 y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 (- t (pow z 2))) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -4 (/ (- t (pow z 2)) (pow x 2))) (/ 1 y))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ 1 (* 4 (/ (* t y) (pow x 2))))
(+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))
(/ (* t y) x)
(+ (* -1 (/ (* y (pow z 2)) x)) (/ (* t y) x))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* 4 t)
(+ (* -4 (pow z 2)) (* 4 t))
(* -1 t)
(- (pow z 2) t)
(* t y)
(+ (* -1 (* y (pow z 2))) (* t y))
(* (pow z 2) (+ (* -4 y) (/ (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (pow z 2))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* -4 (/ (* y (pow z 2)) (pow x 2)))
(* (pow z 2) (+ (* -4 (/ y (pow x 2))) (+ (* 4 (/ (* t y) (* (pow x 2) (pow z 2)))) (/ 1 (pow z 2)))))
(* -1 (/ (* y (pow z 2)) x))
(* (pow z 2) (+ (* -1 (/ y x)) (/ (* t y) (* x (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* -4 (pow z 2))
(* (pow z 2) (- (* 4 (/ t (pow z 2))) 4))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ (* t y) (pow z 2))))
(+ (* 4 (* t y)) (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))))
(+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* t (+ (* 4 y) (/ (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) t)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* 4 (/ (* t y) (pow x 2)))
(* t (+ (* -4 (/ (* y (pow z 2)) (* t (pow x 2)))) (+ (* 4 (/ y (pow x 2))) (/ 1 t))))
(* t (+ (* -1 (/ (* y (pow z 2)) (* t x))) (/ y x)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ 4 (* -4 (/ (pow z 2) t))))
(* t (- (/ (pow z 2) t) 1))
(* t (+ y (* -1 (/ (* y (pow z 2)) t))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 (/ y (pow x 2))) (* -1 (/ (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))) t)))))
(* -1 (* t (+ (* -1 (/ y x)) (/ (* y (pow z 2)) (* t x)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (- (* 4 (/ (pow z 2) t)) 4)))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (/ (* y (pow z 2)) t))))
Calls

12 calls:

TimeVariablePointExpression
11.0ms
t
@-inf
((* (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (* x x)) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (/ (* (- t (* z z)) y) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) -4) y) (* (- (* z z) t) -4) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (* (- t (* z z)) y))
5.0ms
y
@-inf
((* (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (* x x)) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (/ (* (- t (* z z)) y) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) -4) y) (* (- (* z z) t) -4) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (* (- t (* z z)) y))
3.0ms
z
@inf
((* (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (* x x)) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (/ (* (- t (* z z)) y) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) -4) y) (* (- (* z z) t) -4) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (* (- t (* z z)) y))
3.0ms
y
@inf
((* (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (* x x)) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (/ (* (- t (* z z)) y) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) -4) y) (* (- (* z z) t) -4) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (* (- t (* z z)) y))
3.0ms
y
@0
((* (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (* x x)) (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) (/ (* (- t (* z z)) y) x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) -4) y) (* (- (* z z) t) -4) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (* (- t (* z z)) y))

simplify129.0ms (1.6%)

Memory
34.9MiB live, 146.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0232915
1771914
22505908
35989891
08469842
Stop Event
1×iter limit
1×node limit
Counts
90 → 90
Calls
Call 1
Inputs
(* 4 (* y (- t (pow z 2))))
(+ (* 4 (* y (- t (pow z 2)))) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (/ (* y (- t (pow z 2))) (pow x 2)))
(/ (+ (* 4 (* y (- t (pow z 2)))) (pow x 2)) (pow x 2))
(/ (* y (- t (pow z 2))) x)
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* 4 (/ (* y (- t (pow z 2))) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
1
(+ 1 (* 4 (/ (* y (- t (pow z 2))) (pow x 2))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* y (pow z 2))
(* y z)
(* y (- t (pow z 2)))
(* y (+ (* 4 (- t (pow z 2))) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (+ (* 4 (/ (- t (pow z 2)) (pow x 2))) (/ 1 y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 (- t (pow z 2))) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -4 (/ (- t (pow z 2)) (pow x 2))) (/ 1 y))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(+ 1 (* 4 (/ (* t y) (pow x 2))))
(+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))
(/ (* t y) x)
(+ (* -1 (/ (* y (pow z 2)) x)) (/ (* t y) x))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* 4 t)
(+ (* -4 (pow z 2)) (* 4 t))
(* -1 t)
(- (pow z 2) t)
(* t y)
(+ (* -1 (* y (pow z 2))) (* t y))
(* (pow z 2) (+ (* -4 y) (/ (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (pow z 2))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* -4 (/ (* y (pow z 2)) (pow x 2)))
(* (pow z 2) (+ (* -4 (/ y (pow x 2))) (+ (* 4 (/ (* t y) (* (pow x 2) (pow z 2)))) (/ 1 (pow z 2)))))
(* -1 (/ (* y (pow z 2)) x))
(* (pow z 2) (+ (* -1 (/ y x)) (/ (* t y) (* x (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* -4 (pow z 2))
(* (pow z 2) (- (* 4 (/ t (pow z 2))) 4))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* -1 (* y (pow z 2)))
(* (pow z 2) (+ (* -1 y) (/ (* t y) (pow z 2))))
(+ (* 4 (* t y)) (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))))
(+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* t (+ (* 4 y) (/ (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) t)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* 4 (/ (* t y) (pow x 2)))
(* t (+ (* -4 (/ (* y (pow z 2)) (* t (pow x 2)))) (+ (* 4 (/ y (pow x 2))) (/ 1 t))))
(* t (+ (* -1 (/ (* y (pow z 2)) (* t x))) (/ y x)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ 4 (* -4 (/ (pow z 2) t))))
(* t (- (/ (pow z 2) t) 1))
(* t (+ y (* -1 (/ (* y (pow z 2)) t))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 (/ y (pow x 2))) (* -1 (/ (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))) t)))))
(* -1 (* t (+ (* -1 (/ y x)) (/ (* y (pow z 2)) (* t x)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (- (* 4 (/ (pow z 2) t)) 4)))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (/ (* y (pow z 2)) t))))
Outputs
(* 4 (* y (- t (pow z 2))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* 4 (* y (- t (pow z 2)))) (pow x 2))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (/ (* y (- t (pow z 2))) (pow x 2)))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y)
(/ (+ (* 4 (* y (- t (pow z 2)))) (pow x 2)) (pow x 2))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y #s(literal 1 binary64))
(/ (* y (- t (pow z 2))) x)
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* y (- t (pow z 2))) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (* y (- t (pow z 2))) (pow x 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y z)
(*.f64 y z)
(* y (- t (pow z 2)))
(*.f64 (-.f64 t (*.f64 z z)) y)
(* y (+ (* 4 (- t (pow z 2))) (/ (pow x 2) y)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* y (+ (* 4 (/ (- t (pow z 2)) (pow x 2))) (/ 1 y)))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y #s(literal 1 binary64))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -4 (- t (pow z 2))) (* -1 (/ (pow x 2) y)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (- (* -4 (/ (- t (pow z 2)) (pow x 2))) (/ 1 y))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* -4 (* y (pow z 2))) (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(+ 1 (* 4 (/ (* t y) (pow x 2))))
(fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 y x) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y #s(literal 1 binary64))
(/ (* t y) x)
(/.f64 (*.f64 y t) x)
(+ (* -1 (/ (* y (pow z 2)) x)) (/ (* t y) x))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(pow z 2)
(*.f64 z z)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* 4 t)
(*.f64 #s(literal 4 binary64) t)
(+ (* -4 (pow z 2)) (* 4 t))
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(* t y)
(*.f64 y t)
(+ (* -1 (* y (pow z 2))) (* t y))
(*.f64 (-.f64 t (*.f64 z z)) y)
(* (pow z 2) (+ (* -4 y) (/ (* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2))))) (pow z 2))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -4 (/ (* y (pow z 2)) (pow x 2)))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (/.f64 (/.f64 z x) x))
(* (pow z 2) (+ (* -4 (/ y (pow x 2))) (+ (* 4 (/ (* t y) (* (pow x 2) (pow z 2)))) (/ 1 (pow z 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y #s(literal 1 binary64))
(* -1 (/ (* y (pow z 2)) x))
(*.f64 (*.f64 (neg.f64 z) y) (/.f64 z x))
(* (pow z 2) (+ (* -1 (/ y x)) (/ (* t y) (* x (pow z 2)))))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -4 (pow z 2))
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(* (pow z 2) (- (* 4 (/ t (pow z 2))) 4))
(*.f64 (*.f64 (fma.f64 (/.f64 t (*.f64 z z)) #s(literal 4 binary64) #s(literal -4 binary64)) z) z)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(-.f64 (*.f64 z z) t)
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* -1 (* y (pow z 2)))
(*.f64 (*.f64 (neg.f64 z) y) z)
(* (pow z 2) (+ (* -1 y) (/ (* t y) (pow z 2))))
(*.f64 (-.f64 t (*.f64 z z)) y)
(+ (* 4 (* t y)) (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (/.f64 (/.f64 z x) x) #s(literal 1 binary64))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* t (+ (* 4 y) (/ (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) t)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (/ (* t y) (pow x 2)))
(*.f64 (*.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 y x))
(* t (+ (* -4 (/ (* y (pow z 2)) (* t (pow x 2)))) (+ (* 4 (/ y (pow x 2))) (/ 1 t))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 t (*.f64 z z)) x)) x) y #s(literal 1 binary64))
(* t (+ (* -1 (/ (* y (pow z 2)) (* t x))) (/ y x)))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* t (+ 4 (* -4 (/ (pow z 2) t))))
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* t (+ y (* -1 (/ (* y (pow z 2)) t))))
(*.f64 (-.f64 t (*.f64 z z)) y)
(* -1 (* t (+ (* -4 y) (* -1 (/ (* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2))))) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 (/ y (pow x 2))) (* -1 (/ (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))) t)))))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 t x)) (/.f64 y x)) (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 4 binary64)) (*.f64 z z) #s(literal -1 binary64)))
(* -1 (* t (+ (* -1 (/ y x)) (/ (* y (pow z 2)) (* t x)))))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t (- (* 4 (/ (pow z 2) t)) 4)))
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)
(* -1 (* t (+ (* -1 y) (/ (* y (pow z 2)) t))))
(*.f64 (-.f64 t (*.f64 z z)) y)

rewrite191.0ms (2.4%)

Memory
4.5MiB live, 200.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040240
063240
1226238
21700238
08340233
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 448
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)
(*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64))
(-.f64 (*.f64 z z) t)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
(*.f64 (-.f64 t (*.f64 z z)) y)
Outputs
(*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal 1 binary64)) x) x)
(*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal 1 binary64)) x) x))
(*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z))))) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (/.f64 x (*.f64 y (-.f64 t (*.f64 z z))))) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 y (-.f64 t (*.f64 z z))) x) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y (-.f64 t (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) x) x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) x) x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) x) x))) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) x) x))) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 x x))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 z z) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 y (*.f64 z (*.f64 #s(literal -4 binary64) z)) (*.f64 x x))
(fma.f64 y (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 (*.f64 z z) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 z (*.f64 y (*.f64 #s(literal -4 binary64) z)) (*.f64 x x))
(fma.f64 z (*.f64 (*.f64 y z) #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 z (*.f64 #s(literal -4 binary64) y)) (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y z)) z (*.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(*.f64 (*.f64 y z) z)
(*.f64 y (*.f64 z z))
(*.f64 (*.f64 z z) y)
(*.f64 z (*.f64 y z))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (-.f64 t (*.f64 z z)))
(*.f64 (-.f64 t (*.f64 z z)) y)
(/.f64 (+.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 t y) (*.f64 t y) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 z) z) y) (*.f64 (*.f64 (neg.f64 z) z) y)) (*.f64 (*.f64 t y) (*.f64 (*.f64 (neg.f64 z) z) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 z) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 y t) (*.f64 y t) (-.f64 (*.f64 (*.f64 y (*.f64 (neg.f64 z) z)) (*.f64 y (*.f64 (neg.f64 z) z))) (*.f64 (*.f64 y t) (*.f64 y (*.f64 (neg.f64 z) z))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (*.f64 t t) (pow.f64 z #s(literal 4 binary64))))) (neg.f64 (fma.f64 z z t)))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) (neg.f64 (fma.f64 t t (fma.f64 (*.f64 z z) t (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t t) (pow.f64 z #s(literal 4 binary64))) y)) (neg.f64 (fma.f64 z z t)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) y)) (neg.f64 (fma.f64 t t (fma.f64 (*.f64 z z) t (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (*.f64 y (-.f64 (*.f64 t t) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z t))
(/.f64 (*.f64 y (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 t t (fma.f64 (*.f64 z z) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 t t) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 z z t))
(/.f64 (*.f64 (-.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) y) (fma.f64 t t (fma.f64 (*.f64 z z) t (pow.f64 z #s(literal 4 binary64)))))
(fma.f64 y t (*.f64 y (*.f64 (neg.f64 z) z)))
(fma.f64 t y (*.f64 (*.f64 (neg.f64 z) z) y))
(+.f64 (*.f64 t y) (*.f64 (*.f64 (neg.f64 z) z) y))
(+.f64 (*.f64 y t) (*.f64 y (*.f64 (neg.f64 z) z)))

eval170.0ms (2.1%)

Memory
-4.6MiB live, 120.7MiB allocated
Compiler

Compiled 18 178 to 1 980 computations (89.1% saved)

prune116.0ms (1.4%)

Memory
-1.2MiB live, 71.6MiB allocated
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New5083511
Fresh011
Picked145
Done123
Total51010520
Accuracy
100.0%
Counts
520 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓68.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
✓66.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
✓66.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
✓65.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
✓39.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
65.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
40.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
✓32.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
58.0%
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 #s(approx (* (- t (* z z)) y) (*.f64 (*.f64 (neg.f64 z) y) z)) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
39.2%
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
Compiler

Compiled 770 to 301 computations (60.9% saved)

regimes174.0ms (2.1%)

Memory
-24.0MiB live, 104.1MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) y) #s(literal -4 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 x x (/.f64 (*.f64 #s(literal -4 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) t))))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 #s(approx (* (- t (* z z)) y) (*.f64 (*.f64 (neg.f64 z) y) z)) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 t (*.f64 z z)) y) x) (/.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) (*.f64 x x)))
(-.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (*.f64 #s(literal -4 binary64) y)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (*.f64 x x))
Outputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
Calls

10 calls:

63.0ms
x
45.0ms
(*.f64 z z)
20.0ms
(*.f64 x x)
7.0ms
t
7.0ms
(*.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
95.3%1x
95.3%1y
97.6%2z
95.3%1t
95.3%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
95.3%1(*.f64 x x)
95.3%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
95.3%1(*.f64 y #s(literal 4 binary64))
97.6%2(-.f64 (*.f64 z z) t)
97.6%2(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes69.0ms (0.9%)

Memory
22.7MiB live, 61.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
Outputs
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
Calls

10 calls:

4.0ms
(*.f64 y #s(literal 4 binary64))
4.0ms
t
4.0ms
z
4.0ms
y
4.0ms
(-.f64 (*.f64 z z) t)
Results
AccuracySegmentsBranch
95.3%1x
95.3%1y
95.3%1t
95.3%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
95.3%1(*.f64 x x)
95.3%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
95.3%1(*.f64 y #s(literal 4 binary64))
95.3%1z
95.3%1(-.f64 (*.f64 z z) t)
95.3%1(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes82.0ms (1%)

Memory
-24.7MiB live, 54.6MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
Calls

10 calls:

26.0ms
x
25.0ms
(*.f64 y #s(literal 4 binary64))
4.0ms
t
4.0ms
(-.f64 (*.f64 z z) t)
4.0ms
y
Results
AccuracySegmentsBranch
88.6%3x
81.0%3y
89.3%3z
82.2%3t
89.7%4(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
88.6%3(*.f64 x x)
87.1%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
81.0%3(*.f64 y #s(literal 4 binary64))
88.5%4(-.f64 (*.f64 z z) t)
89.3%3(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes8.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
Calls

2 calls:

4.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
89.3%3z
89.3%3(*.f64 z z)
Compiler

Compiled 4 to 9 computations (-125% saved)

regimes44.0ms (0.5%)

Memory
-5.0MiB live, 33.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
Calls

6 calls:

27.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
3.0ms
x
3.0ms
z
3.0ms
(*.f64 z z)
3.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Results
AccuracySegmentsBranch
87.1%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
84.0%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
84.5%2x
84.5%2(*.f64 x x)
85.5%2z
85.5%2(*.f64 z z)
Compiler

Compiled 30 to 38 computations (-26.7% saved)

regimes9.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
Calls

3 calls:

3.0ms
z
3.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.5%2z
85.5%2(*.f64 z z)
74.7%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Compiler

Compiled 13 to 18 computations (-38.5% saved)

regimes7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
Calls

3 calls:

2.0ms
z
2.0ms
(-.f64 (*.f64 z z) t)
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
82.9%2(-.f64 (*.f64 z z) t)
84.7%2z
84.7%2(*.f64 z z)
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes55.0ms (0.7%)

Memory
-2.6MiB live, 36.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))
Calls

10 calls:

36.0ms
x
2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
t
2.0ms
y
Results
AccuracySegmentsBranch
63.1%4(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
54.3%3y
54.3%3(*.f64 y #s(literal 4 binary64))
55.0%4t
65.9%3(-.f64 (*.f64 z z) t)
57.3%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
63.7%4x
63.7%4(*.f64 x x)
65.9%4z
65.6%4(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes13.0ms (0.2%)

Memory
-21.8MiB live, 20.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
Calls

6 calls:

4.0ms
(*.f64 x x)
2.0ms
x
2.0ms
z
2.0ms
(-.f64 (*.f64 z z) t)
2.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Results
AccuracySegmentsBranch
49.2%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
58.2%2(*.f64 x x)
58.2%2x
45.4%3(*.f64 z z)
45.7%3z
47.2%2(-.f64 (*.f64 z z) t)
Compiler

Compiled 22 to 33 computations (-50% saved)

regimes11.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

10 calls:

1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
t
1.0ms
y
1.0ms
z
1.0ms
(-.f64 (*.f64 z z) t)
Results
AccuracySegmentsBranch
39.2%1(*.f64 z z)
39.2%1z
39.2%1(-.f64 (*.f64 z z) t)
39.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
39.2%1t
39.2%1y
39.2%1(*.f64 y #s(literal 4 binary64))
39.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
39.2%1x
39.2%1(*.f64 x x)
Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.4338697462012843e+296
2.6134371058378123e+298
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.601118647230048e+282
1.4197846993583552e+283
0.0ms
3.6029784776104514e-49
1.7158143236825992e-44
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.601118647230048e+282
1.4197846993583552e+283
0.0ms
3.6029784776104514e-49
1.7158143236825992e-44
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.84281351338336e+83
3.4379290978859207e+109
0.0ms
-1.5698615203403978e+186
-6.303498235380838e+185
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.237500726938135e+212
3.2851385393093985e+215
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.237500726938135e+212
3.2851385393093985e+215
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.778489023888112e+206
3.240820462943128e+206
0.0ms
-7003267951358.177
-4023.7853146714174
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch27.0ms (0.3%)

Memory
-23.8MiB live, 14.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
25.0ms
9.170812125804159e-35
9.018832244854683e-34
Samples
22.0ms96×0valid
Compiler

Compiled 352 to 270 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.5% of total)
ival-sub: 1.0ms (30.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify35.0ms (0.4%)

Memory
7.7MiB live, 46.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088589
1110589
2114589
3116589
4117589
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 z z) #s(literal 399999999999999992539471088249201663112622428792823253203939348817873915331180033595371909071314183229494507880160903262910811747481797436400621158406721979955488288957608187367955850578253586339515518059383200196110340844016578579639358504527633435449731610416989116982820421205655223353800130560 binary64)) (fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z))))
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 (*.f64 z z) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) #s(literal -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))))
(if (<=.f64 (*.f64 z z) #s(literal 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal -5000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal 300000000000000011668073265326516529392211747885606040002907146023073882868154690289239896823633104161979380935823639874059511834228312684962055101663806821063303758787850830633699367422967838657966721990656 binary64)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))
Outputs
(if (<=.f64 (*.f64 z z) #s(literal 399999999999999992539471088249201663112622428792823253203939348817873915331180033595371909071314183229494507880160903262910811747481797436400621158406721979955488288957608187367955850578253586339515518059383200196110340844016578579639358504527633435449731610416989116982820421205655223353800130560 binary64)) (fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 399999999999999992539471088249201663112622428792823253203939348817873915331180033595371909071314183229494507880160903262910811747481797436400621158406721979955488288957608187367955850578253586339515518059383200196110340844016578579639358504527633435449731610416989116982820421205655223353800130560 binary64)) (fma.f64 (-.f64 (*.f64 z z) t) (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z))))
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal -4 binary64)))
(if (<=.f64 (*.f64 z z) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 (*.f64 z z) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z)))))
(if (<=.f64 (*.f64 z z) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 (*.f64 z z) #s(literal 822752278660603/1645504557321206042154969182557350504982735865633579863348609024 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) (if (<=.f64 (*.f64 z z) #s(literal 9999999999999999553953517735361344274271821018911312812290573026184540102343798495987494338396687059809772796632907678097570555865109868753376103147668407754403581309634554796258176084383892202112976392797308495024959839786965342632596166187964530344229899589832462449290116390191104 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z)))))
(if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) #s(literal -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y)) (if (<=.f64 (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))))
(if (<=.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (*.f64 z z) t)) #s(literal -999999999999999979617044168753715171107129451866841652067632118957448454785561110036171446110395985078602511391629572118883509758736380261518894779920079058604308854941977225917932503040 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t)) y)) (if (<=.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (*.f64 z z) t)) #s(literal 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t)) y))))
(if (<=.f64 (*.f64 z z) #s(literal 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z))))
(if (<=.f64 (*.f64 z z) #s(literal 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y t) #s(literal 4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z))))
(if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal -5000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) (if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal 300000000000000011668073265326516529392211747885606040002907146023073882868154690289239896823633104161979380935823639874059511834228312684962055101663806821063303758787850830633699367422967838657966721990656 binary64)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal -5000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal 4 binary64) t) y)) (if (<=.f64 (-.f64 (*.f64 z z) t) #s(literal 300000000000000011668073265326516529392211747885606040002907146023073882868154690289239896823633104161979380935823639874059511834228312684962055101663806821063303758787850830633699367422967838657966721990656 binary64)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z)))))
(if (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x))))
(if (<=.f64 x #s(literal 6547527335242445/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal 4 binary64) t) y)) #s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x))))
#s(approx (+ (* x x) (/ (* -4 y) (/ 1 (- (* z z) t)))) (*.f64 #s(approx (+ (* (/ (* (- t (* z z)) y) x) (/ 4 x)) 1) #s(literal 1 binary64)) (*.f64 x x)))

soundness1.8s (22.8%)

Memory
19.8MiB live, 1 019.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031162
047166
1155155
21217155
08715155
040240
063240
1226238
21700238
08340233
032170
052165
1177162
21373162
08688162
0217883
1659861
21989828
36299816
08078769
068238
1206238
2660238
32610238
47862238
08357226
01128
01728
15628
242228
3535728
0852527
0232915
1771914
22505908
35989891
08469842
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 297 to 642 computations (50.5% saved)

preprocess133.0ms (1.7%)

Memory
-29.1MiB live, 131.6MiB allocated
Remove

(abs x)

(abs z)

Compiler

Compiled 1 542 to 418 computations (72.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...