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

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
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)

sample1.4s (17.9%)

Memory
15.2MiB live, 1 369.0MiB allocated
Samples
1000.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 604.0ms
ival-mult: 512.0ms (84.8% of total)
ival-sub: 76.0ms (12.6% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain181.0ms (2.4%)

Memory
-41.6MiB live, 250.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
100-0-(-.f64 (*.f64 x x) (*.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 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))n*o210
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))nan-rescue100
(*.f64 x x)overflow59
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))overflow73
(*.f64 y #s(literal 4 binary64))overflow1
(-.f64 (*.f64 z z) t)overflow72
(*.f64 z z)overflow72
Confusion
Predicted +Predicted -
+290
-2225
Precision
0.9354838709677419
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2900
-20225
Precision?
0.9354838709677419
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 181 to 65 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (67.3% of total)
ival-sub: 4.0ms (22.4% of total)
ival-true: 1.0ms (5.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess242.0ms (3.2%)

Memory
21.2MiB live, 95.3MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.0%
(-.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)

simplify73.0ms (0.9%)

Memory
-10.5MiB live, 67.6MiB allocated
Algorithm
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
iter limit
saturated
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

localize28.0ms (0.4%)

Memory
-1.4MiB live, 72.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 4 binary64))
accuracy0
(*.f64 x x)
accuracy2.260087188919471
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
accuracy4.9937789125913055
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Samples
20.0ms256×0valid
Compiler

Compiled 84 to 24 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (70.4% of total)
ival-sub: 2.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
21.6MiB live, 21.6MiB 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
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))
1.0ms
x
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms
z
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))

simplify241.0ms (3.1%)

Memory
-19.7MiB live, 232.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068238
1206238
2660238
32610238
47862238
08357226
Stop Event
iter limit
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))

rewrite256.0ms (3.3%)

Memory
18.8MiB live, 239.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
01728
15628
242228
3535728
0852527
Stop Event
iter limit
node limit
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))

eval51.0ms (0.7%)

Memory
3.2MiB live, 56.9MiB allocated
Compiler

Compiled 6 218 to 552 computations (91.1% saved)

prune9.0ms (0.1%)

Memory
-17.0MiB live, 20.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1909199
Fresh000
Picked101
Done000
Total1919200
Accuracy
99.6%
Counts
200 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.4%
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
87.8%
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
96.0%
(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)))
91.0%
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
68.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
66.5%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
57.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
35.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 330 to 250 computations (24.2% saved)

simplify81.0ms (1%)

Memory
19.3MiB live, 56.7MiB allocated
Algorithm
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 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 #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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030197
049202
193191
2192189
3463189
4816189
51244189
61490189
71667189
81703189
91709189
101709189
01709189
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(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
#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 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 (*.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 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(*.f64 (neg.f64 t) y)
(neg.f64 t)
t
(*.f64 x x)
x
#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)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.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 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)
(fma.f64 z z (neg.f64 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

localize154.0ms (2%)

Memory
-13.7MiB live, 141.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0
(*.f64 x x)
accuracy0
(*.f64 #s(literal -4 binary64) y)
accuracy6.481008773587657
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy1.5139996314288537
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
accuracy7.794939649752687
(*.f64 (*.f64 z z) y)
accuracy14.188426074121612
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0
(*.f64 t y)
accuracy1.1562438074906176
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
accuracy20.21125893591084
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
accuracy0
(*.f64 t y)
accuracy0.028007519536884032
(*.f64 (*.f64 t y) #s(literal 4 binary64))
accuracy45.41044113881929
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
accuracy0
(*.f64 #s(literal -4 binary64) y)
accuracy0
(neg.f64 t)
accuracy1.1562438074906176
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
accuracy1.335932683435766
(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)))
Samples
106.0ms256×0valid
Compiler

Compiled 376 to 61 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 71.0ms (87.6% of total)
ival-add: 7.0ms (8.6% of total)
ival-sub: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series53.0ms (0.7%)

Memory
21.4MiB live, 57.9MiB allocated
Counts
17 → 51
Calls
Call 1
Inputs
(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)
#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 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(neg.f64 t)
Outputs
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(* t y)
(* y (pow z 2))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (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)))))
(* -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)))
(pow z 2)
(* -1 t)
(- (pow z 2) t)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (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))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 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 z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Calls

12 calls:

TimeVariablePointExpression
30.0ms
z
@inf
((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* 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) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (neg t))
4.0ms
t
@inf
((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* 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) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (neg t))
3.0ms
x
@0
((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* 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) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (neg t))
2.0ms
y
@inf
((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* 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) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (neg t))
2.0ms
y
@-inf
((+ (* (* (* -4 y) z) z) (+ (* (* (neg t) y) -4) (* x x))) (+ (* (* (neg t) y) -4) (* x x)) (* (* -4 y) z) (* -4 y) (- (* 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) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (neg t))

simplify296.0ms (3.9%)

Memory
-12.2MiB live, 164.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139598
1451554
21409508
35081498
08276463
Stop Event
iter limit
node limit
Counts
51 → 51
Calls
Call 1
Inputs
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(* t y)
(* y (pow z 2))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (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)))))
(* -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)))
(pow z 2)
(* -1 t)
(- (pow z 2) t)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (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))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 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 z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Outputs
(+ (* -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))
(* 4 (* t y))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(* -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 t (*.f64 z z)) y) #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))
(+ (* -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 (/ (* 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))
(* (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) 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 (/ (* y (pow z 2)) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* 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 z y) #s(literal -4 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* t y)
(*.f64 t y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* 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))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.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 (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) t)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (-.f64 t (*.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 (* 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) 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)))))
(fma.f64 (*.f64 (*.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))
(- (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)
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (*.f64 y (fma.f64 (/.f64 t (*.f64 z z)) #s(literal 4 binary64) #s(literal -4 binary64))) (*.f64 z z) (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (*.f64 y (fma.f64 (/.f64 t (*.f64 z z)) #s(literal 4 binary64) #s(literal -4 binary64))) (*.f64 z z) (*.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))
(* (pow z 2) (+ 1 (* -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))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* 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 x 2) t)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x 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 (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* -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) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x 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 (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)

rewrite330.0ms (4.3%)

Memory
-4.8MiB live, 201.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030154
049159
1173148
21351146
08646146
Stop Event
iter limit
node limit
iter limit
Counts
17 → 555
Calls
Call 1
Inputs
(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)
#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 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(neg.f64 t)
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (*.f64 x x)))
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(fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 z z) y) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 (neg.f64 t) y) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (*.f64 x x))))
(-.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 t y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 t y) #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))
(*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z t))))
(*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 z z) (neg.f64 t))))))
(*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t))) (*.f64 (/.f64 (*.f64 t t) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t)))) (+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 t t) (pow.f64 z #s(literal 4 binary64))) (-.f64 (neg.f64 t) (*.f64 z z)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (fma.f64 z z t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (fma.f64 (/.f64 (*.f64 t t) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t)) (*.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 t t (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 t) (*.f64 z z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)))) (neg.f64 (neg.f64 (fma.f64 z z t))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 (fma.f64 z z t) (*.f64 t t))) (*.f64 (fma.f64 z z t) (fma.f64 z z t)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 z z) (neg.f64 t)))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t))) (neg.f64 (fma.f64 z z t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 z z) (neg.f64 t))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 t t)) (fma.f64 z z t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (neg.f64 t)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (*.f64 t t) (*.f64 (*.f64 z z) (neg.f64 t)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (neg.f64 t))
(fma.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal 1 binary64) t) (*.f64 z z))
(fma.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64))) (*.f64 z z))
(fma.f64 #s(literal -1 binary64) t (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (fma.f64 z z t))))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 t #s(literal -1 binary64) (*.f64 z z))
(fma.f64 z z (neg.f64 t))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t)))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (*.f64 z z) t)
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (neg.f64 (/.f64 (*.f64 t t) (fma.f64 z z t))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (*.f64 z z) (neg.f64 t))
(+.f64 (neg.f64 t) (*.f64 z z))
(*.f64 (*.f64 (neg.f64 t) t) (/.f64 #s(literal 1 binary64) t))
(*.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) t)
(*.f64 t #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (neg.f64 (fma.f64 t t #s(literal 0 binary64))))
(/.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))

eval124.0ms (1.6%)

Memory
-19.2MiB live, 91.3MiB allocated
Compiler

Compiled 13 500 to 1 199 computations (91.1% saved)

prune27.0ms (0.4%)

Memory
-7.5MiB live, 42.5MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4216427
Fresh224
Picked415
Done000
Total4279436
Accuracy
100.0%
Counts
436 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) (*.f64 x x))
87.8%
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
75.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
67.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
68.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
57.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
35.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 373 to 275 computations (26.3% saved)

simplify166.0ms (2.2%)

Memory
14.8MiB live, 92.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff192
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))
cost-diff192
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)))
cost-diff640
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
cost-diff7808
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))))
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff0
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
cost-diff0
(fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 4 binary64) t)
cost-diff0
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
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
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff512
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038279
061243
1124238
2271227
31486221
45658221
08392221
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
#s(literal 4 binary64)
t
(*.f64 x x)
x
#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 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
#s(literal 4 binary64)
t
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
(fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
x
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
(*.f64 y y)
#s(literal 16 binary64)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(*.f64 x x)
x
Outputs
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 (-.f64 t (*.f64 z z)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
(*.f64 t #s(literal 4 binary64))
#s(literal 4 binary64)
t
(*.f64 x 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)))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
#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))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
(*.f64 t #s(literal 4 binary64))
#s(literal 4 binary64)
t
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))))
(fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))))
x
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))
(*.f64 (*.f64 z z) y)
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
y
#s(literal -4 binary64)
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) (*.f64 x x))
(fma.f64 (-.f64 t (*.f64 z z)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))))
(*.f64 #s(literal -4 binary64) y)
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)))
(*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 64 binary64))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal 16 binary64) (*.f64 y y))
(fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal 16 binary64) (*.f64 y y))
(*.f64 y y)
#s(literal 16 binary64)
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
#s(literal 0 binary64)
(*.f64 x x)
x

localize116.0ms (1.5%)

Memory
6.0MiB live, 160.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.04957627125455484
(fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
accuracy0.24609237397081396
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
accuracy6.481008773587657
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) (*.f64 x x))
accuracy40.87250707342613
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))))
accuracy0.017910009768442016
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy1.253892488027801
(fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy7.794939649752687
(*.f64 (*.f64 z z) y)
accuracy14.188426074121612
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
accuracy0
(*.f64 x x)
accuracy0
(*.f64 #s(literal 4 binary64) t)
accuracy0.7499917428166807
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
accuracy20.21125893591084
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
accuracy0
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
accuracy0
(*.f64 t #s(literal 4 binary64))
accuracy45.41044113881929
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
accuracy0
(*.f64 #s(literal 4 binary64) t)
accuracy0.7499917428166807
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
accuracy2.1116558814288537
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
accuracy7.794939649752687
(*.f64 (*.f64 z z) y)
Samples
90.0ms256×0valid
Compiler

Compiled 544 to 76 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 43.0ms (62.1% of total)
ival-add: 13.0ms (18.8% of total)
ival-div: 4.0ms (5.8% of total)
ival-pow: 4.0ms (5.8% of total)
ival-sub: 3.0ms (4.3% of total)
exact: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
11.1MiB live, 48.3MiB allocated
Counts
19 → 47
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
#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 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(*.f64 #s(literal 4 binary64) t)
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
(fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))))
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
Outputs
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* y (pow z 2))
(* -4 y)
0
(* -64 (pow y 3))
(* 16 (pow y 2))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (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)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (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))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
y
@inf
((+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (* (* z z) y) (* z z) (+ (* (* 4 t) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* (* z z) y) -4)) (* (* (* z z) y) -4) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y))))) (* 0 (* 4 y)) (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))) (+ (* (- (* z z) t) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))))) (* x x)) (+ (* (* y y) 16) (* 0 (* 4 y))))
3.0ms
y
@-inf
((+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (* (* z z) y) (* z z) (+ (* (* 4 t) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* (* z z) y) -4)) (* (* (* z z) y) -4) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y))))) (* 0 (* 4 y)) (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))) (+ (* (- (* z z) t) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))))) (* x x)) (+ (* (* y y) 16) (* 0 (* 4 y))))
2.0ms
y
@0
((+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (* (* z z) y) (* z z) (+ (* (* 4 t) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* (* z z) y) -4)) (* (* (* z z) y) -4) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y))))) (* 0 (* 4 y)) (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))) (+ (* (- (* z z) t) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))))) (* x x)) (+ (* (* y y) 16) (* 0 (* 4 y))))
1.0ms
z
@inf
((+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (* (* z z) y) (* z z) (+ (* (* 4 t) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* (* z z) y) -4)) (* (* (* z z) y) -4) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y))))) (* 0 (* 4 y)) (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))) (+ (* (- (* z z) t) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))))) (* x x)) (+ (* (* y y) 16) (* 0 (* 4 y))))
1.0ms
z
@-inf
((+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (* (* z z) y) (* z z) (+ (* (* 4 t) y) (* x x)) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* x x) (* (* (* z z) y) -4)) (* (* (* z z) y) -4) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y))))) (* 0 (* 4 y)) (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))) (+ (* (- (* z z) t) (/ (- 0 (pow (* 4 y) 3)) (+ 0 (+ (* (* y y) 16) (* 0 (* 4 y)))))) (* x x)) (+ (* (* y y) 16) (* 0 (* 4 y))))

simplify183.0ms (2.4%)

Memory
-12.9MiB live, 229.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132577
1416533
21291487
34151477
47574477
08134442
Stop Event
iter limit
node limit
Counts
47 → 47
Calls
Call 1
Inputs
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* y (pow z 2))
(* -4 y)
0
(* -64 (pow y 3))
(* 16 (pow y 2))
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (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)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (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))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
Outputs
(+ (* -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))
(* 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))
(* -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 t (*.f64 z z)) y) #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))
(+ (* -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 (/ (* 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))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (*.f64 t 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 (/ (* y (pow z 2)) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* 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))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
0
#s(literal 0 binary64)
(* -64 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64))
(* 16 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 16 binary64))
(* 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))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(fma.f64 (*.f64 t 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 (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) t)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (-.f64 t (*.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 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(fma.f64 (*.f64 t 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)))))
(fma.f64 (*.f64 (*.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))
(pow z 2)
(*.f64 z z)
(- (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 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 y (fma.f64 (/.f64 (/.f64 t z) z) #s(literal 4 binary64) #s(literal -4 binary64))) (*.f64 z z) (*.f64 x x))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (*.f64 y (fma.f64 (/.f64 (/.f64 t z) z) #s(literal 4 binary64) #s(literal -4 binary64))) (*.f64 z z) (*.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))
(- (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))
(* 4 t)
(*.f64 #s(literal 4 binary64) t)
(* 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 x 2) t)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x 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))
(* -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) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x 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))

rewrite394.0ms (5.1%)

Memory
-0.2MiB live, 196.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038210
061181
1247174
22140155
08455155
Stop Event
iter limit
node limit
iter limit
Counts
19 → 580
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
#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 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(*.f64 #s(literal 4 binary64) t)
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
(fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))))
(*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) (*.f64 x x))
(fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) (*.f64 x x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))))))
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) (-.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))))
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))))))
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) (-.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) t) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) t) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) t) #s(literal 2 binary64)) (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) (*.f64 (*.f64 #s(literal 4 binary64) y) t)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)))) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z))))))
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(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -4 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 16 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 16 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 #s(literal 4 binary64) y) #s(literal 0 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 y (*.f64 #s(literal 4 binary64) y)) #s(literal 0 binary64))
(fma.f64 y (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) y)) #s(literal 0 binary64))
(fma.f64 y (*.f64 #s(literal 16 binary64) y) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))) (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y))))
(-.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 4 binary64))))
(-.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 16 binary64) (*.f64 y y)))

eval344.0ms (4.5%)

Memory
-12.6MiB live, 110.5MiB allocated
Compiler

Compiled 19 181 to 1 758 computations (90.8% saved)

prune25.0ms (0.3%)

Memory
17.4MiB live, 56.7MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New6002602
Fresh033
Picked235
Done011
Total6029611
Accuracy
100.0%
Counts
611 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.9%
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
56.7%
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
75.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
67.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
68.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
57.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
35.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 304 to 229 computations (24.7% saved)

simplify144.0ms (1.9%)

Memory
-0.2MiB live, 123.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z z)
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
cost-diff7808
(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y)))
cost-diff0
#s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
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) #s(approx (+ (* (* 4 t) y) (* x x)) (*.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
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
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 z y)
cost-diff0
(*.f64 (*.f64 z y) z)
cost-diff0
(fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041262
063258
1116258
2288243
31119243
43236243
57851243
08770241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
#s(literal -4 binary64)
(*.f64 x 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))) (*.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) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
t
#s(literal 4 binary64)
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y)))
(*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)))
#s(literal -64 binary64)
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(*.f64 #s(literal 16 binary64) (*.f64 y y))
#s(literal 16 binary64)
(*.f64 y y)
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x))
(*.f64 (*.f64 z y) z)
(*.f64 (*.f64 z z) y)
(*.f64 z y)
z
y
#s(literal -4 binary64)
(*.f64 x 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))) (*.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) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
t
#s(literal 4 binary64)
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
(fma.f64 (-.f64 t (*.f64 z z)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y)))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 binary64))
#s(literal -64 binary64)
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(*.f64 #s(literal 16 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 16 binary64))
#s(literal 16 binary64)
(*.f64 y y)
(*.f64 x x)
x

localize138.0ms (1.8%)

Memory
13.2MiB live, 132.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.025421072813276158
(*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)))
accuracy0.04957627125455484
(*.f64 #s(literal 16 binary64) (*.f64 y y))
accuracy6.481008773587657
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
accuracy40.87250707342613
(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y)))
accuracy0.028007519536884032
(*.f64 (*.f64 t y) #s(literal 4 binary64))
accuracy2.1116558814288537
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
accuracy7.794939649752687
(*.f64 (*.f64 z z) y)
accuracy31.956443969861205
#s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
accuracy0
(*.f64 z z)
accuracy0.020195019536884032
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy4.994951116129504
(*.f64 (-.f64 (*.f64 z z) t) y)
accuracy24.105690428466794
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy0
(*.f64 z z)
accuracy0.017910009768442016
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy7.794939649752687
(*.f64 (*.f64 z z) y)
accuracy38.26892203892207
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy0
(*.f64 x x)
accuracy0.09765625
(*.f64 (*.f64 z y) z)
accuracy1.5139996314288537
(fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))
accuracy14.188426074121612
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
Samples
114.0ms256×0valid
Compiler

Compiled 488 to 80 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 40.0ms (62.5% of total)
exact: 12.0ms (18.7% of total)
ival-add: 4.0ms (6.2% of total)
ival-pow: 4.0ms (6.2% of total)
ival-sub: 2.0ms (3.1% of total)
ival-div: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory
-4.8MiB live, 34.0MiB allocated
Counts
20 → 61
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
#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))) (*.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) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
#s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y)))
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 #s(literal 16 binary64) (*.f64 y y))
(*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)))
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -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)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (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))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* y (pow z 2))
(* y z)
(* y (- (pow z 2) t))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 y)
(* 16 (pow y 2))
(* -64 (pow y 3))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* 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))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) 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)))))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -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)))
(pow z 2)
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(* (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))))
(* (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) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 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 (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 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 (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -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 (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
Calls

12 calls:

TimeVariablePointExpression
14.0ms
x
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z y) z) -4) (* x x)) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (+ (* (* 4 t) y) (* x x)) (/ (* -64 (pow y 3)) (* 16 (* y y))) (+ (* (- (* z z) t) (/ (* -64 (pow y 3)) (* 16 (* y y)))) (* x x)) (* x x) (* (* t y) 4) (* 16 (* y y)) (* -64 (pow y 3)))
3.0ms
y
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z y) z) -4) (* x x)) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (+ (* (* 4 t) y) (* x x)) (/ (* -64 (pow y 3)) (* 16 (* y y))) (+ (* (- (* z z) t) (/ (* -64 (pow y 3)) (* 16 (* y y)))) (* x x)) (* x x) (* (* t y) 4) (* 16 (* y y)) (* -64 (pow y 3)))
3.0ms
y
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z y) z) -4) (* x x)) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (+ (* (* 4 t) y) (* x x)) (/ (* -64 (pow y 3)) (* 16 (* y y))) (+ (* (- (* z z) t) (/ (* -64 (pow y 3)) (* 16 (* y y)))) (* x x)) (* x x) (* (* t y) 4) (* 16 (* y y)) (* -64 (pow y 3)))
2.0ms
y
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z y) z) -4) (* x x)) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (+ (* (* 4 t) y) (* x x)) (/ (* -64 (pow y 3)) (* 16 (* y y))) (+ (* (- (* z z) t) (/ (* -64 (pow y 3)) (* 16 (* y y)))) (* x x)) (* x x) (* (* t y) 4) (* 16 (* y y)) (* -64 (pow y 3)))
2.0ms
z
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z y) z) -4) (* x x)) (* (* z y) z) (* z y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (+ (* (* (* z z) y) -4) (+ (* (* 4 t) y) (* x x))) (+ (* (* 4 t) y) (* x x)) (/ (* -64 (pow y 3)) (* 16 (* y y))) (+ (* (- (* z z) t) (/ (* -64 (pow y 3)) (* 16 (* y y)))) (* x x)) (* x x) (* (* t y) 4) (* 16 (* y y)) (* -64 (pow y 3)))

simplify180.0ms (2.3%)

Memory
-10.2MiB live, 105.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0163557
1532557
21632557
34551557
47779557
08249524
Stop Event
iter limit
node limit
Counts
61 → 61
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -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)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (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))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* y (pow z 2))
(* y z)
(* y (- (pow z 2) t))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 y)
(* 16 (pow y 2))
(* -64 (pow y 3))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* 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))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (- (pow z 2) 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)))))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -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)))
(pow z 2)
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* -1 t)
(- (pow z 2) t)
(* (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))))
(* (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) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 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 (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 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 (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -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 (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -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))
(- (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 (* 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))
(* 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))
(+ (* -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)
(*.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 (/ (* 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))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y z)
(*.f64 z y)
(* y (- (pow z 2) t))
(*.f64 (-.f64 (*.f64 z z) t) 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)
(*.f64 #s(literal -4 binary64) y)
(* 16 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 16 binary64))
(* -64 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -64 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 (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))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(fma.f64 (*.f64 t 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))
(* -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)))))
(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 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(fma.f64 (*.f64 t 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))
(- (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 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(pow z 2)
(*.f64 z z)
(* -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) (- (/ (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))
(* (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) (+ (* -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 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 (- (/ (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 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 (+ (* -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 x 2) t)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x 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) (* 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 (+ (* -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) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))

rewrite340.0ms (4.4%)

Memory
7.8MiB live, 206.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041208
063204
1206196
21410189
08835187
Stop Event
iter limit
node limit
iter limit
Counts
20 → 805
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
#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))) (*.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) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
#s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y)))
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 #s(literal 16 binary64) (*.f64 y y))
(*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 x x)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 z z) y) (*.f64 x x)))))))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y))))) #s(literal -1 binary64)))
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eval234.0ms (3.1%)

Memory
-16.9MiB live, 137.9MiB allocated
Compiler

Compiled 28 644 to 2 528 computations (91.2% saved)

prune41.0ms (0.5%)

Memory
11.6MiB live, 51.0MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New8903893
Fresh000
Picked235
Done044
Total89210902
Accuracy
100.0%
Counts
902 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
67.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
68.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
56.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (fma.f64 (*.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
42.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -64 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) #s(literal 1 binary64))))
57.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
35.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
40.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 659 to 261 computations (60.4% saved)

regimes114.0ms (1.5%)

Memory
27.5MiB live, 66.2MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#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 z y) (*.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 (*.f64 #s(literal 4 binary64) t) 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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) 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)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (fma.f64 (*.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
(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)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 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 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -64 binary64)) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 1/16 binary64)) #s(literal 1 binary64))))
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 x x))
(fma.f64 (-.f64 (*.f64 z z) t) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y))))) (*.f64 x x))
Outputs
(fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) 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)))
Calls

10 calls:

57.0ms
(*.f64 x x)
6.0ms
(*.f64 y #s(literal 4 binary64))
6.0ms
x
6.0ms
t
6.0ms
y
Results
AccuracySegmentsBranch
96.0%1x
97.6%2y
97.6%2z
96.0%1t
96.0%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
96.0%1(*.f64 x x)
96.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
97.6%2(*.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)

regimes55.0ms (0.7%)

Memory
-14.8MiB live, 29.4MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#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 z y) (*.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 (*.f64 #s(literal 4 binary64) t) 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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) 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)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (fma.f64 (*.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
(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)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) #s(approx (+ (* (* 4 t) y) (* x x)) (*.f64 (*.f64 t y) #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
Outputs
(fma.f64 x x (*.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 z y) z) #s(literal -4 binary64) (*.f64 x x)))
Calls

4 calls:

5.0ms
(*.f64 y #s(literal 4 binary64))
5.0ms
y
5.0ms
z
5.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
91.0%1y
91.0%1(*.f64 y #s(literal 4 binary64))
97.6%2z
97.6%2(*.f64 z z)
Compiler

Compiled 8 to 19 computations (-137.5% saved)

regimes51.0ms (0.7%)

Memory
-8.4MiB live, 30.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#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 z y) (*.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 (*.f64 #s(literal 4 binary64) t) 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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) 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)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (fma.f64 (*.f64 z z) y (*.f64 (neg.f64 t) y)) #s(literal -4 binary64)))
Outputs
#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))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x)))
Calls

8 calls:

24.0ms
(-.f64 (*.f64 z z) t)
4.0ms
t
4.0ms
x
4.0ms
z
4.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Results
AccuracySegmentsBranch
83.2%3t
90.3%3x
89.8%4(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
90.3%3(*.f64 x x)
83.9%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
87.0%2(-.f64 (*.f64 z z) t)
93.3%2z
93.3%2(*.f64 z z)
Compiler

Compiled 36 to 48 computations (-33.3% saved)

regimes13.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#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 z y) (*.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 (*.f64 #s(literal 4 binary64) t) 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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
Outputs
#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))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
Calls

4 calls:

3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
y
3.0ms
z
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
83.7%7y
83.7%7(*.f64 y #s(literal 4 binary64))
91.5%3z
91.5%3(*.f64 z z)
Compiler

Compiled 8 to 19 computations (-137.5% saved)

regimes29.0ms (0.4%)

Memory
-15.6MiB live, 23.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#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 z y) (*.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 (*.f64 #s(literal 4 binary64) t) 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) y) #s(literal -4 binary64)))
Outputs
#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 z y) (*.f64 #s(literal -4 binary64) z)))
Calls

6 calls:

14.0ms
(*.f64 x x)
3.0ms
x
3.0ms
(-.f64 (*.f64 z z) t)
3.0ms
z
3.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Results
AccuracySegmentsBranch
81.9%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
83.3%2(-.f64 (*.f64 z z) t)
84.1%2x
84.1%2(*.f64 x x)
84.6%2z
84.6%2(*.f64 z z)
Compiler

Compiled 26 to 35 computations (-34.6% saved)

regimes41.0ms (0.5%)

Memory
-0.3MiB live, 36.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#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 z y) (*.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) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
Calls

10 calls:

22.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
t
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
44.4%3y
44.4%3(*.f64 y #s(literal 4 binary64))
46.4%3t
49.2%3(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
49.2%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
52.7%2(-.f64 (*.f64 z z) t)
40.2%1x
40.2%1(*.f64 x x)
59.5%2(*.f64 z z)
59.5%2z
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes22.0ms (0.3%)

Memory
-14.6MiB live, 28.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#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))
Calls

10 calls:

8.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
(-.f64 (*.f64 z z) t)
2.0ms
t
Results
AccuracySegmentsBranch
29.0%1x
29.0%1(*.f64 x x)
29.0%1y
29.0%1(*.f64 y #s(literal 4 binary64))
29.0%1t
29.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
29.0%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
29.0%1(-.f64 (*.f64 z z) t)
29.0%1z
29.0%1(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.28637420064981e+198
6.579406837552068e+201
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8419917366346655e+212
2.7972606583650306e+219
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.189388810046888e-112
1.7879896587806566e-108
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.00770596784307e+291
4.148106478352627e+293
0.0ms
3.189388810046888e-112
1.7879896587806566e-108
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch16.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.8190767167876834e+74
3.0281225788496463e+81
Samples
8.0ms144×0valid
Compiler

Compiled 403 to 324 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (65.7% of total)
ival-sub: 1.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.033613823373793e-9
2.6758484203973056e-7
Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify36.0ms (0.5%)

Memory
8.8MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060319
180319
289319
396319
499319
5100319
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 z z) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) 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))))
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (fma.f64 x x (*.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 z y) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 z #s(literal 1899999999999999829373113468053549870093850636478362854659977545723999631154610176 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 z y) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 3022314549036573/302231454903657293676544 binary64)) #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 z y) (*.f64 #s(literal -4 binary64) z))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Outputs
(if (<=.f64 (*.f64 z z) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (fma.f64 x x (*.f64 (*.f64 (-.f64 (*.f64 z z) 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))))
(if (<=.f64 (*.f64 z z) #s(literal 10000000000000000972062404885344653449756728480474941855847657639911300522221339234388177506516007760792756678147673846152604340428430285295728914471221362369950308146488642846313231335560438561636352 binary64)) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (-.f64 (*.f64 z z) t)))) (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))))
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (fma.f64 x x (*.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 z y) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 199999999999999981918802089535075187003313837481152797173785584930544902055906602073068283476971976059139106077021332637361730559685774486324458373686555306612784812339723868076827097341330155368913559673353797632 binary64)) (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 y (-.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))))
(if (<=.f64 (*.f64 z z) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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))) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))))
(if (<=.f64 (*.f64 z z) #s(literal 5415370496329717/10830740992659433045228180406808920716548582325686783496759685861775864483615725089999900023844295226942934417817982702456930304 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 5000000000000000066282994891787081340343280544793230017816015738971246363452126607307989709019681249863687319282946045494061487325003512892275869151373365842953697657627637323430529093779107308789748100916331176292769417786818298761053780855470759280014374688417047589275644482057527862755328 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #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 z #s(literal 1899999999999999829373113468053549870093850636478362854659977545723999631154610176 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 z y) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 z #s(literal 1899999999999999829373113468053549870093850636478362854659977545723999631154610176 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 3022314549036573/302231454903657293676544 binary64)) #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 z y) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal 4 binary64) t) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z))))
#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 #s(literal 4 binary64) t) y))

soundness1.3s (16.9%)

Memory
3.9MiB live, 558.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068238
1206238
2660238
32610238
47862238
08357226
01128
01728
15628
242228
3535728
0852527
0139598
1451554
21409508
35081498
08276463
041208
063204
1206196
21410189
08835187
030154
049159
1173148
21351146
08646146
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 655 to 340 computations (48.1% saved)

preprocess110.0ms (1.4%)

Memory
-26.7MiB live, 220.3MiB allocated
Remove

(abs x)

(abs z)

Compiler

Compiled 962 to 324 computations (66.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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