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

Time bar (total: 3.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample676.0ms (17.2%)

Memory
268.2MiB live, 268.2MiB allocated
Samples
434.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 257.0ms
ival-mult: 179.0ms (69.8% of total)
ival-sub: 63.0ms (24.6% of total)
ival-true: 6.0ms (2.3% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain123.0ms (3.1%)

Memory
69.4MiB live, 69.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-0-(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
110-0-(-.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*o140
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))nan-rescue110
↳(*.f64 x x)overflow58
↳(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))overflow87
↳(-.f64 (*.f64 z z) t)overflow68
↳(*.f64 z z)overflow68
Confusion
Predicted +Predicted -
+230
-2231
Precision
0.92
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2300
-20231
Precision?
0.92
Recall?
1.0
Freqs
test
numberfreq
0231
125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
34.0ms512×0valid
Compiler

Compiled 181 to 65 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 12.0ms (70.8% of total)
ival-sub: 4.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess224.0ms (5.7%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.3%
(-.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)

simplify49.0ms (1.2%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize23.0ms (0.6%)

Memory
10.4MiB live, 10.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy2.597639736641647
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
accuracy3.318570187525575
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Samples
16.0ms256×0valid
Compiler

Compiled 84 to 24 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (74% of total)
ival-sub: 2.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
5 → 31
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))
(-.f64 (*.f64 z z) t)
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))))
(* -1 t)
(- (pow z 2) t)
(* -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 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))
(* 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))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Calls

12 calls:

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

simplify131.0ms (3.3%)

Memory
38.4MiB live, 38.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081296
1248292
2805292
33598284
47056284
08335271
Stop Event
1×iter limit
1×node limit
Counts
31 → 31
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))))
(* -1 t)
(- (pow z 2) t)
(* -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 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))
(* 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))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (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)
(* (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))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (* y (- (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 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)) (* 4 (* y (pow z 2))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(* -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 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(* 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 z 2)
(*.f64 z z)
(* (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)
(* 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 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (/.f64 (*.f64 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)

rewrite129.0ms (3.3%)

Memory
47.5MiB live, 47.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
01733
15633
242233
3535733
0852532
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 262
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))
(-.f64 (*.f64 z z) t)
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)))
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(/.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 z z t))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 z z t) 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))) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 t #s(literal 4 binary64))) (*.f64 (fma.f64 z z t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 z z t) (fma.f64 (*.f64 t t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 t #s(literal 9 binary64))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 t #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 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)))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 t) (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))
(neg.f64 (neg.f64 (-.f64 (*.f64 z z) t)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.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)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.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))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.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))) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (-.f64 (*.f64 z z) t) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (neg.f64 t))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 #s(literal -1 binary64) t (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 z z) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 t #s(literal -1 binary64) (*.f64 z z))
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 z z (neg.f64 t))
(-.f64 (fma.f64 z z #s(literal 0 binary64)) t)
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 t (/.f64 t (fma.f64 z z t))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (*.f64 z z) t)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (neg.f64 t) (*.f64 z z))
(+.f64 (*.f64 z z) (neg.f64 t))

eval25.0ms (0.6%)

Memory
22.8MiB live, 22.8MiB allocated
Compiler

Compiled 8 611 to 891 computations (89.7% saved)

prune6.0ms (0.2%)

Memory
12.0MiB live, 12.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2736279
Fresh000
Picked101
Done000
Total2746280
Accuracy
100.0%
Counts
280 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.5%
(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)))
47.1%
(-.f64 (*.f64 x x) (*.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))))
▶68.5%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
▶65.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶34.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶36.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 242 to 180 computations (25.6% saved)

simplify50.0ms (1.3%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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 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 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 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: 0 (0.0ms)

IterNodesCost
032207
050208
193205
2192203
3462203
4814203
51240203
61489203
71666203
81702203
91708203
101708203
01708198
Stop Event
1×iter limit
1×saturated
1×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))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t 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))) (*.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)
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))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t 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))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(-.f64 (*.f64 z z) t)
(fma.f64 z z (neg.f64 t))
(*.f64 z z)
z
t
y
#s(literal -4 binary64)

localize59.0ms (1.5%)

Memory
29.2MiB live, 29.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 z z)
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy3.319518766205968
(*.f64 (-.f64 (*.f64 z z) t) y)
accuracy20.161375808164834
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy0
(*.f64 x x)
accuracy0
(*.f64 t y)
accuracy0.6992146216604117
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
accuracy19.40172452144901
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
accuracy0
(*.f64 z z)
accuracy0.0078125
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy6.534897487643852
(*.f64 (*.f64 z z) y)
accuracy39.77778188993333
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy0
(*.f64 t y)
accuracy0.006191259768442017
(*.f64 (*.f64 t y) #s(literal 4 binary64))
accuracy40.80391066503229
#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)
accuracy0.6992146216604117
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
accuracy2.7773203559076185
(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
42.0ms256×0valid
Compiler

Compiled 387 to 62 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 20.0ms (75.6% of total)
ival-add: 3.0ms (11.3% of total)
ival-sub: 2.0ms (7.6% of total)
ival-neg: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.6%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
19 → 54
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))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t 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))) (*.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)
(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)
(* (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)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* t y)
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y (- (pow z 2) t))
(* 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))))
(* -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) (+ (* -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) (* 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)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* t (+ (* -4 (/ (* y (pow 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 (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* 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 (+ (* -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)))))
Calls

12 calls:

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

simplify110.0ms (2.8%)

Memory
35.2MiB live, 35.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144598
1480552
21510504
34957498
08337469
Stop Event
1×iter limit
1×node limit
Counts
54 → 54
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)
(* (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)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* t y)
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y (- (pow z 2) t))
(* 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))))
(* -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) (+ (* -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) (* 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)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* t (+ (* -4 (/ (* y (pow 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 (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* 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 (+ (* -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)))))
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 (*.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)) (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 (*.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)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -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))
(* t y)
(*.f64 t y)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (- (pow z 2) t))
(*.f64 (-.f64 (*.f64 z z) t) 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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(* (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)
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.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))
(+ (* -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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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)

rewrite138.0ms (3.5%)

Memory
57.6MiB live, 57.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032175
050176
1153173
21049171
08937166
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 485
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))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t 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))) (*.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)
(neg.f64 t)
Outputs
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 (neg.f64 x) x))))
(*.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 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) #s(literal -4 binary64)) y (*.f64 x x)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.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 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.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 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))))))))
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(/.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 (neg.f64 (*.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 (neg.f64 (*.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 (neg.f64 (*.f64 t t))) (neg.f64 t))
(/.f64 (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (neg.f64 (fma.f64 t t #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 t t)) (-.f64 #s(literal 0 binary64) (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 t t)) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 (*.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)))
(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))

eval44.0ms (1.1%)

Memory
39.6MiB live, 39.6MiB allocated
Compiler

Compiled 15 511 to 1 541 computations (90.1% saved)

prune14.0ms (0.4%)

Memory
21.4MiB live, 21.4MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4662468
Fresh011
Picked145
Done000
Total4677474
Accuracy
100.0%
Counts
474 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.1%
(-.f64 (*.f64 x x) (*.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))))
✓68.5%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
▶9.3%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
✓65.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓34.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶37.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓36.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 155 to 116 computations (25.2% saved)

simplify84.0ms (2.1%)

Memory
18.7MiB live, 18.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
cost-diff0
(*.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)))
cost-diff0
(*.f64 x x)
cost-diff128
(-.f64 (*.f64 x x) (*.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))))
cost-diff0
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
cost-diff192
(-.f64 (*.f64 z z) #s(literal 0 binary64))
cost-diff192
(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) z)
cost-diff0
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033199
052179
1106179
2259179
3903179
42546179
54573179
67018179
08067176
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y)
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal 0 binary64)
(-.f64 (*.f64 z z) #s(literal 0 binary64))
(*.f64 z z)
y
#s(literal -4 binary64)
(-.f64 (*.f64 x x) (*.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 x x)
x
(*.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)))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(neg.f64 t)
t
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
(*.f64 #s(literal 4 binary64) y)
y
(fma.f64 z z t)
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z)))
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 (/.f64 #s(literal -4 binary64) z) z) (*.f64 (pow.f64 z #s(literal 4 binary64)) y)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -4 binary64) z) z) (*.f64 (pow.f64 z #s(literal 4 binary64)) y))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y)
(*.f64 (/.f64 (/.f64 y z) z) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) z)
(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))
(pow.f64 z #s(literal 4 binary64))
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
#s(literal 0 binary64)
(-.f64 (*.f64 z z) #s(literal 0 binary64))
(*.f64 z z)
(*.f64 z z)
y
#s(literal -4 binary64)
(-.f64 (*.f64 x x) (*.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))))
(fma.f64 (/.f64 (-.f64 (*.f64 t t) (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(*.f64 x x)
x
(*.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 (/.f64 #s(literal 4 binary64) (fma.f64 z z t)) (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) y))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(neg.f64 t)
t
(pow.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z z t)) y)
(*.f64 #s(literal 4 binary64) y)
y
(fma.f64 z z t)

localize63.0ms (1.6%)

Memory
29.3MiB live, 29.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.7499917428166807
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
accuracy2.597639736641647
(-.f64 (*.f64 x x) (*.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))))
accuracy5.594984528617475
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
accuracy27.449270789219053
(*.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)))
accuracy0.0078125
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64))
accuracy6.534897487643852
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y)
accuracy39.77778188993333
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
accuracy42.33238024486051
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
accuracy0
(*.f64 z y)
accuracy0.0078125
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
accuracy0.14453125
(*.f64 (*.f64 z y) z)
accuracy39.77778188993333
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
Samples
45.0ms256×0valid
Compiler

Compiled 383 to 66 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 16.0ms (52.3% of total)
ival-sub: 5.0ms (16.3% of total)
ival-div: 3.0ms (9.8% of total)
ival-pow: 3.0ms (9.8% of total)
ival-add: 2.0ms (6.5% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.6%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
15 → 55
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 z z) #s(literal 0 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64))
(-.f64 (*.f64 x x) (*.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 x x)
(*.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)))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y)
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y z)
(+ (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))) (pow x 2))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2))))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2)))))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 4)
(pow z 2)
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 (pow t 2))
(+ (* -1 (pow t 2)) (pow z 4))
(* 4 (/ y t))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(* (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 z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* 4 (/ y (pow z 2)))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(* 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))))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 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))))
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) t))
Calls

12 calls:

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

simplify119.0ms (3%)

Memory
38.4MiB live, 38.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199904
1581885
21802851
34881821
08251769
Stop Event
1×iter limit
1×node limit
Counts
55 → 55
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y z)
(+ (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))) (pow x 2))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(* 4 (/ y (+ t (pow z 2))))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (- (/ (pow x 2) y) (* 4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2))))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2)))))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 4)
(pow z 2)
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 (pow t 2))
(+ (* -1 (pow t 2)) (pow z 4))
(* 4 (/ y t))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(* (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 z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(* 4 (/ y (pow z 2)))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(* 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))))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 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))))
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) 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 (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) y) (/.f64 #s(literal -4 binary64) (fma.f64 z z t)))
(- (pow x 2) (* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (fma.f64 z z t)) (*.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 (+ (* -1 (pow t 2)) (pow z 4))) (* (pow x 2) (+ t (pow z 2)))))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (fma.f64 z z t)) (*.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))
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y z)
(*.f64 z y)
(+ (* -4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2)))) (pow x 2))
(fma.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) (/.f64 y (fma.f64 z z t)) (*.f64 x x))
(* 4 (/ (* y (+ (* -1 (pow t 2)) (pow z 4))) (+ t (pow z 2))))
(*.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) y) (/.f64 #s(literal 4 binary64) (fma.f64 z z t)))
(* 4 (/ y (+ t (pow z 2))))
(*.f64 (/.f64 y (fma.f64 z z t)) #s(literal 4 binary64))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (- (/ (pow x 2) y) (* 4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (/ (+ (* -1 (pow t 2)) (pow z 4)) (+ t (pow z 2)))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.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 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 2)
(*.f64 z z)
(* -4 (* t y))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* -1 (pow t 2))
(*.f64 (neg.f64 t) t)
(+ (* -1 (pow t 2)) (pow z 4))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(* 4 (/ y t))
(*.f64 (/.f64 y t) #s(literal 4 binary64))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(fma.f64 (/.f64 #s(literal 4 binary64) t) y (*.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 z (pow.f64 t #s(literal 3 binary64))) z) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal -4 binary64) t) t))) (*.f64 z z)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(fma.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 z (pow.f64 t #s(literal 4 binary64))) z) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 3 binary64))))) (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 #s(literal 4 binary64) y) t))
(* 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 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* (pow z 4) (+ 1 (* -1 (/ (pow t 2) (pow z 4)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t) (pow.f64 z #s(literal 4 binary64)))
(* 4 (/ y (pow z 2)))
(*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)) (pow z 2))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) (/.f64 t z) (*.f64 #s(literal 4 binary64) y)) (*.f64 z z))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) z) (/.f64 t z) (*.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 t t) y) #s(literal 4 binary64))) (*.f64 z z))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 2))
(/.f64 (fma.f64 (*.f64 y (+.f64 (/.f64 (/.f64 t z) z) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 t t) y) #s(literal 4 binary64))) (*.f64 z z))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) t (*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) z) y (*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) #s(literal 4 binary64)) t (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64))) t))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 8 binary64))) (*.f64 t y) (*.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) #s(literal 4 binary64))) t (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64))) t (*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)))
(* 4 (* t y))
(*.f64 (*.f64 #s(literal 4 binary64) y) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (/.f64 (*.f64 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* (pow t 2) (- (/ (pow z 4) (pow t 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) t) t (neg.f64 t)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (neg.f64 z) z (/.f64 (pow.f64 z #s(literal 4 binary64)) t))) t)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2)))))) t)
(/.f64 (fma.f64 y (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal -4 binary64) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (neg.f64 z) z (/.f64 (pow.f64 z #s(literal 4 binary64)) t))) t)) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (/.f64 (*.f64 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(/.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (neg.f64 z) z (/.f64 (pow.f64 z #s(literal 4 binary64)) t))) t)) t)
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) t))
(/.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (/.f64 (*.f64 y (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) #s(literal 4 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 t))) t)) t)

rewrite150.0ms (3.8%)

Memory
56.3MiB live, 56.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033168
052132
1206118
21723118
08474115
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 980
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
(*.f64 (*.f64 z y) z)
(*.f64 z y)
(-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 z z) #s(literal 0 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64))
(-.f64 (*.f64 x x) (*.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 x x)
(*.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)))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y)
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal -4 binary64)) (pow.f64 z #s(literal -2 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z z) y) (*.f64 (*.f64 z z) y) (-.f64 (*.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 z z) y) (*.f64 y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -4 binary64)))) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) z)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y)) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) y)) (*.f64 z z))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 y (pow.f64 z #s(literal 6 binary64)))) (neg.f64 (pow.f64 z #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 4 binary64))))) (*.f64 z z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y))) (*.f64 z z))
(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -4 binary64))) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) z) z)
(/.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) y) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 y (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 4 binary64)))
(/.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (*.f64 (neg.f64 z) z))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (*.f64 z z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 y (neg.f64 (pow.f64 z #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y)))
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -6 binary64))) (pow.f64 z #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -6 binary64))) (pow.f64 z #s(literal 4 binary64)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 z) z) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (*.f64 (neg.f64 z) z) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -4 binary64))) (*.f64 z z) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -4 binary64))) (*.f64 z z) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) z) (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) z) (pow.f64 z #s(literal -1 binary64)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z z) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z z) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) y) (pow.f64 z #s(literal -4 binary64)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) y) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) y) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z z) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z z) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 y (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 y (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal -4 binary64)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 y (neg.f64 (pow.f64 z #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) (/.f64 y z) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) z) (/.f64 y z) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y)) (/.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 z z) y (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 z z) y (*.f64 y #s(literal 0 binary64)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal -2 binary64))) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal -2 binary64)) y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 (*.f64 z y) z (*.f64 #s(literal 0 binary64) y))
(fma.f64 (*.f64 z y) z (*.f64 y #s(literal 0 binary64)))
(fma.f64 z (*.f64 z y) (*.f64 #s(literal 0 binary64) y))
(fma.f64 z (*.f64 z y) (*.f64 y #s(literal 0 binary64)))
(fma.f64 y (*.f64 z z) (*.f64 #s(literal 0 binary64) y))
(fma.f64 y (*.f64 z z) (*.f64 y #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 z z) y) (*.f64 #s(literal 0 binary64) y))
(+.f64 (*.f64 (*.f64 z z) y) (*.f64 y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z (neg.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 t (-.f64 t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 z z t)) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 z z t) y) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 z z t)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 (neg.f64 (fma.f64 z z t)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 z z t)))
(*.f64 y (/.f64 #s(literal 4 binary64) (fma.f64 z z t)))
(pow.f64 (*.f64 (/.f64 (fma.f64 z z t) y) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z t)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z z t)))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (fma.f64 z z t))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) (neg.f64 (neg.f64 (fma.f64 z z t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 z z t) y) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z t) (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 z z t) y) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 z z t) y) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 (fma.f64 z z t)))
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
(neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 z z t)))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 (fma.f64 z z t))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z z t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 (fma.f64 z z t))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 z z t) y) #s(literal 1/4 binary64))) #s(literal -1 binary64)))

eval85.0ms (2.1%)

Memory
57.9MiB live, 57.9MiB allocated
Compiler

Compiled 25 033 to 3 323 computations (86.7% saved)

prune27.0ms (0.7%)

Memory
30.5MiB live, 30.5MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New7682770
Fresh000
Picked213
Done044
Total7707777
Accuracy
100.0%
Counts
777 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.1%
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
✓68.5%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
▶34.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
✓65.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓34.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓37.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓36.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 150 to 111 computations (26% saved)

simplify111.0ms (2.8%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
cost-diff0
(*.f64 x x)
cost-diff128
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
cost-diff1792
(*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
cost-diff0
(pow.f64 z #s(literal -2 binary64))
cost-diff0
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
cost-diff0
(*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026122
038122
179122
2246122
31185122
45549102
08142100
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
(*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
y
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
#s(literal -4 binary64)
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
(*.f64 x x)
x
(*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
(fma.f64 z z t)
z
t
(fma.f64 z z (neg.f64 t))
(neg.f64 t)
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 z #s(literal -2 binary64)))))
(*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 z #s(literal -2 binary64))))
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
y
(pow.f64 z #s(literal -2 binary64))
z
#s(literal -2 binary64)
#s(literal -4 binary64)
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.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 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64))
(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
(*.f64 (fma.f64 z z (neg.f64 t)) (fma.f64 z z t))
(fma.f64 z z t)
z
t
(fma.f64 z z (neg.f64 t))
(neg.f64 t)
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 z z t)) y)
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y

localize60.0ms (1.5%)

Memory
21.8MiB live, 21.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.02734375
(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
accuracy2.597639736641647
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
accuracy5.594984528617475
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
accuracy27.449270789219053
(*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
accuracy0.00390625
(pow.f64 z #s(literal -2 binary64))
accuracy0.0078125
(*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64))
accuracy6.6221591229208165
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
accuracy39.77778188993333
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
Samples
44.0ms256×0valid
Compiler

Compiled 249 to 53 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 13.0ms (45.2% of total)
ival-div: 4.0ms (13.9% of total)
ival-sub: 4.0ms (13.9% of total)
ival-add: 3.0ms (10.4% of total)
ival-pow: 3.0ms (10.4% of total)
exact: 1.0ms (3.5% of total)
ival-neg: 1.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.4%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
9 → 55
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
(*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 z #s(literal -2 binary64))
(*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
(*.f64 x x)
(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
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)))
(* y (pow z 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 (/ y (+ t (pow z 2))))
(* 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)))
(/ 1 (pow z 2))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 (pow t 2))
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (* -1 t))))
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (+ (* -1 t) (pow z 2)))))
(* 4 (/ y t))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(* (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 z 4)
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (/ t (pow z 2)))))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))))))
(* 4 (/ y (pow z 2)))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* t (+ (* -1 (pow z 2)) (pow z 2))) (pow z 4))
(+ (* t (+ (* -1 t) (+ (* -1 (pow z 2)) (pow z 2)))) (pow z 4))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(* 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))))
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (/ (pow z 2) t)) 1))
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2)))) 1))
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 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))))
(* (pow t 2) (- (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) t)) 1))
(* (pow t 2) (- (* -1 (/ (+ (* -1 (/ (pow z 4) t)) (+ (* -1 (pow z 2)) (pow z 2))) t)) 1))
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) t))
Calls

12 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (/ y (pow z -2)) -4) (/ y (pow z -2)) (pow z -2) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))
2.0ms
z
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (/ y (pow z -2)) -4) (/ y (pow z -2)) (pow z -2) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))
2.0ms
y
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (/ y (pow z -2)) -4) (/ y (pow z -2)) (pow z -2) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))
1.0ms
y
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* (/ y (pow z -2)) -4) (/ y (pow z -2)) (pow z -2) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))
1.0ms
z
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* (/ y (pow z -2)) -4) (/ y (pow z -2)) (pow z -2) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (- (* x x) (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))) (* x x) (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t)))

simplify145.0ms (3.7%)

Memory
41.8MiB live, 41.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219854
1638812
22003770
37280767
08087721
Stop Event
1×iter limit
1×node limit
Counts
55 → 55
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)))
(* y (pow z 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 (/ y (+ t (pow z 2))))
(* 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)))
(/ 1 (pow z 2))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 (pow t 2))
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (* -1 t))))
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (+ (* -1 t) (pow z 2)))))
(* 4 (/ y t))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(* (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 z 4)
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (/ t (pow z 2)))))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))))))
(* 4 (/ y (pow z 2)))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* t (+ (* -1 (pow z 2)) (pow z 2))) (pow z 4))
(+ (* t (+ (* -1 t) (+ (* -1 (pow z 2)) (pow z 2)))) (pow z 4))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(* 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))))
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (/ (pow z 2) t)) 1))
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2)))) 1))
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 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))))
(* (pow t 2) (- (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) t)) 1))
(* (pow t 2) (- (* -1 (/ (+ (* -1 (/ (pow z 4) t)) (+ (* -1 (pow z 2)) (pow z 2))) t)) 1))
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) 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 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 z z) t) x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* 4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* 4 (/ y (+ t (pow z 2))))
(*.f64 (/.f64 y (fma.f64 z z t)) #s(literal 4 binary64))
(* 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 #s(literal 4 binary64) y) t (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(/ 1 (pow z 2))
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(* -4 (* t y))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* -1 (pow t 2))
(*.f64 (neg.f64 t) t)
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (* -1 t))))
(*.f64 (neg.f64 t) t)
(+ (* -1 (pow t 2)) (* (pow z 2) (+ t (+ (* -1 t) (pow z 2)))))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(* 4 (/ y t))
(*.f64 (/.f64 y t) #s(literal 4 binary64))
(+ (* -4 (/ (* y (pow z 2)) (pow t 2))) (* 4 (/ y t)))
(*.f64 y (fma.f64 (/.f64 (/.f64 (*.f64 z z) t) t) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) t)))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* 4 (/ (* y (pow z 2)) (pow t 3))))))
(fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 y (pow.f64 t #s(literal 3 binary64)))) #s(literal 4 binary64) (*.f64 y (fma.f64 (/.f64 (/.f64 (*.f64 z z) t) t) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) t))))
(+ (* 4 (/ y t)) (* (pow z 2) (+ (* -4 (/ y (pow t 2))) (* (pow z 2) (+ (* -4 (/ (* y (pow z 2)) (pow t 4))) (* 4 (/ y (pow t 3))))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 (/.f64 z (pow.f64 t #s(literal 4 binary64))) z) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 3 binary64))))) (*.f64 y (fma.f64 (/.f64 (/.f64 (*.f64 z z) t) t) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) t))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (fma.f64 (*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)) t (*.f64 #s(literal -4 binary64) y))) (*.f64 z z))
(* 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 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 t z) (*.f64 #s(literal 4 binary64) y)) (*.f64 z z))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (/ t (pow z 2)))))
(pow.f64 z #s(literal 4 binary64))
(* (pow z 4) (+ 1 (+ (* -1 (/ t (pow z 2))) (+ (* -1 (/ (pow t 2) (pow z 4))) (/ t (pow z 2))))))
(*.f64 (fma.f64 (neg.f64 t) (/.f64 t (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))
(* 4 (/ y (pow z 2)))
(*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)) (pow z 2))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 t z) (*.f64 #s(literal 4 binary64) y)) (*.f64 z z))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4))))) (pow z 2))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 y z)) (/.f64 t z) (*.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 t t) y) #s(literal 4 binary64))) (*.f64 z z))
(/ (+ (* -4 (/ (* t y) (pow z 2))) (+ (* -4 (/ (* (pow t 3) y) (pow z 6))) (+ (* 4 y) (* 4 (/ (* (pow t 2) y) (pow z 4)))))) (pow z 2))
(/.f64 (fma.f64 (*.f64 y (+.f64 (/.f64 t (*.f64 z z)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (*.f64 t t) y) #s(literal 4 binary64))) (*.f64 z z))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(+ (* t (+ (* -1 (pow z 2)) (pow z 2))) (pow z 4))
(pow.f64 z #s(literal 4 binary64))
(+ (* t (+ (* -1 t) (+ (* -1 (pow z 2)) (pow z 2)))) (pow z 4))
(fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))
(+ (* -4 (/ (* t y) (pow z 4))) (* 4 (/ y (pow z 2))))
(fma.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64)) t (*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* 4 (/ (* t y) (pow z 6))))))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) z) z) y (*.f64 (fma.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) #s(literal 4 binary64)) t (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64))) t))
(+ (* 4 (/ y (pow z 2))) (* t (+ (* -4 (/ y (pow z 4))) (* t (+ (* -4 (/ (* t y) (pow z 8))) (* 4 (/ y (pow z 6))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 8 binary64))) (*.f64 t y) (*.f64 (/.f64 y (pow.f64 z #s(literal 6 binary64))) #s(literal 4 binary64))) t (*.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) #s(literal -4 binary64))) t (*.f64 (/.f64 y (*.f64 z z)) #s(literal 4 binary64)))
(* 4 (* t y))
(*.f64 (*.f64 #s(literal 4 binary64) y) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (/ (pow z 2) t)) 1))
(*.f64 (neg.f64 t) t)
(* (pow t 2) (- (+ (* -1 (/ (pow z 2) t)) (+ (/ (pow z 2) t) (/ (pow z 4) (pow t 2)))) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) t) t (neg.f64 t)) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)) t)
(/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2))))) t)
(/.f64 (fma.f64 (*.f64 z y) (*.f64 z (/.f64 #s(literal -4 binary64) t)) (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (/.f64 y t) y) #s(literal 4 binary64))) t)
(/ (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* -4 (/ (* y (pow z 6)) (pow t 3))) (+ (* 4 y) (* 4 (/ (* y (pow z 4)) (pow t 2)))))) t)
(/.f64 (fma.f64 (*.f64 (/.f64 y t) (fma.f64 z z (/.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) t))) #s(literal -4 binary64) (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (/.f64 y t) y) #s(literal 4 binary64))) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(* (pow t 2) (- (* -1 (/ (+ (* -1 (pow z 2)) (pow z 2)) t)) 1))
(*.f64 (neg.f64 t) t)
(* (pow t 2) (- (* -1 (/ (+ (* -1 (/ (pow z 4) t)) (+ (* -1 (pow z 2)) (pow z 2))) t)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) t) t) t (neg.f64 t)) t)
(* -1 (/ (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))) t))
(/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal -4 binary64) #s(literal 4 binary64))) t)
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* 4 (/ (* y (pow z 4)) t))) t))) t))
(/.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (neg.f64 z) z (/.f64 (pow.f64 z #s(literal 4 binary64)) t))) t)) t)
(* -1 (/ (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (* -1 (/ (+ (* -4 (* y (pow z 4))) (* 4 (/ (* y (pow z 6)) t))) t))) t))) t))
(/.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z y) (/.f64 (*.f64 y (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) t) #s(literal 4 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal -4 binary64)))) (neg.f64 t))) t)) t)

rewrite115.0ms (2.9%)

Memory
40.7MiB live, 40.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02699
03899
115176
2138172
01018070
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 498
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
(*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
(pow.f64 z #s(literal -2 binary64))
(*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
(*.f64 x x)
(*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t)))
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z z) y)))
(*.f64 (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)
(*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z))
(*.f64 (*.f64 y z) (*.f64 #s(literal -4 binary64) z))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z z) y)))
(*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 z z))
(*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 z) z))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z z) y))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) (*.f64 z z)))
(*.f64 y (*.f64 #s(literal -4 binary64) (*.f64 z z)))
(*.f64 y (*.f64 (*.f64 z z) #s(literal -4 binary64)))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -4 binary64) y)))
(/.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal -4 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(/.f64 #s(literal 4 binary64) (/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) y))
(neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 (pow.f64 z #s(literal -2 binary64)))))
(neg.f64 (*.f64 #s(literal -4 binary64) (*.f64 (neg.f64 y) (*.f64 z z))))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 z z)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 z z)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 z z)))
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) z)))
(*.f64 (*.f64 y z) z)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 z z)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 z) z))
(*.f64 (*.f64 z z) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 z z) y)
(*.f64 z (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 z (*.f64 y z))
(*.f64 y (*.f64 z z))
(pow.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y z)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (*.f64 y z) (pow.f64 z #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(/.f64 y (pow.f64 z #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal -2 binary64)) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 z z))))
(neg.f64 (*.f64 (neg.f64 y) (*.f64 z z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64)))) (*.f64 (neg.f64 y) (*.f64 z z)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 z z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 z))
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 z z) #s(literal -1 binary64))
(pow.f64 z #s(literal -2 binary64))
(/.f64 (pow.f64 z #s(literal -1 binary64)) z)
(/.f64 #s(literal 1 binary64) (*.f64 z z))
(/.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (pow.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 z #s(literal -2 binary64))))
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal -2 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) y) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 z z t)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) y) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (*.f64 (fma.f64 z z t) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -4 binary64) y) #s(literal -1 binary64)) (fma.f64 z z t))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 z z t)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 y (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (*.f64 y (fma.f64 z z t)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 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 #s(literal 4 binary64) y) #s(literal 1 binary64)) (fma.f64 z z t))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (fma.f64 z z t)) #s(literal -4 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) (/.f64 y (fma.f64 z z t))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.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 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) (/.f64 y (fma.f64 z z t))) (fma.f64 z z t)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 z z t)) #s(literal 4 binary64)))
(*.f64 (/.f64 (fma.f64 z z t) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (fma.f64 z z t) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 z z t) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z t) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) (/.f64 y (fma.f64 z z t))) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (/.f64 (*.f64 #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 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) y) #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) (/.f64 y (fma.f64 z z t)))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) (/.f64 y (fma.f64 z z t)))) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64))
(*.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 y (fma.f64 z z t)))
(*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) y) #s(literal -4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 z z t)))
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 #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 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) y)
(*.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) (/.f64 y (fma.f64 z z t))) (fma.f64 z z t))
(*.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 z z t)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))))
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(/.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 z z t) y) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 z z t) y)))
(/.f64 (*.f64 #s(literal -4 binary64) y) (-.f64 t (*.f64 z z)))
(/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))
(/.f64 #s(literal 4 binary64) (/.f64 (fma.f64 z z t) y))
(neg.f64 (*.f64 (/.f64 y (fma.f64 z z t)) #s(literal -4 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) t (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (*.f64 z z)))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (*.f64 z z) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) t))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 z z t) t) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 z z t) t)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z))) (*.f64 (/.f64 y (fma.f64 z z t)) #s(literal -4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (fma.f64 z z t)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 z z t) y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) t) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (*.f64 z z)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) (*.f64 z z)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64))) t))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 z z t) t)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 z #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (*.f64 (fma.f64 z z t) t)))

eval67.0ms (1.7%)

Memory
44.3MiB live, 44.3MiB allocated
Compiler

Compiled 18 412 to 1 942 computations (89.5% saved)

prune24.0ms (0.6%)

Memory
23.5MiB live, 23.5MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New5353538
Fresh000
Picked202
Done055
Total5378545
Accuracy
100.0%
Counts
545 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
86.4%
(-.f64 (*.f64 x x) #s(approx (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
✓68.5%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
37.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 #s(literal -1 binary64) z)))
✓65.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓34.6%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓37.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
✓36.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 504 to 218 computations (56.7% saved)

regimes55.0ms (1.4%)

Memory
24.6MiB live, 24.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#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 (*.f64 z y) z) #s(literal -4 binary64)))
#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 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)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 #s(literal -1 binary64) z)))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(-.f64 (*.f64 x x) #s(approx (* (* (+ (* z z) t) (+ (* z z) (neg t))) (/ (* 4 y) (+ (* z z) t))) (*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z t)) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 z z t) (fma.f64 z z (neg.f64 t))) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 z z t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (/.f64 y (pow.f64 z #s(literal -2 binary64))) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 z z) #s(literal 0 binary64))) y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.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))))
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)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
Calls

10 calls:

6.0ms
(*.f64 y #s(literal 4 binary64))
6.0ms
y
6.0ms
t
5.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
94.5%1x
98.4%2y
96.9%2z
96.1%2t
96.1%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
94.5%1(*.f64 x x)
94.5%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
98.4%2(*.f64 y #s(literal 4 binary64))
96.9%2(-.f64 (*.f64 z z) t)
96.9%2(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes18.0ms (0.5%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#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 (*.f64 z y) z) #s(literal -4 binary64)))
#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 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)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 #s(literal -1 binary64) z)))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 #s(literal -1 binary64) z)))
Calls

5 calls:

4.0ms
y
4.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
z
3.0ms
(-.f64 (*.f64 z z) t)
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
96.5%2(-.f64 (*.f64 z z) t)
96.5%2z
96.5%2(*.f64 z z)
93.6%2y
93.6%2(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 13 to 25 computations (-92.3% saved)

regimes10.0ms (0.3%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#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 (*.f64 z y) z) #s(literal -4 binary64)))
#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 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)))
(-.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)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
Calls

3 calls:

3.0ms
z
3.0ms
(-.f64 (*.f64 z z) t)
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
96.5%2z
96.5%2(-.f64 (*.f64 z z) t)
96.5%2(*.f64 z z)
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes30.0ms (0.8%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#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 (*.f64 z y) z) #s(literal -4 binary64)))
#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 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 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
Calls

10 calls:

3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
(-.f64 (*.f64 z z) t)
3.0ms
x
3.0ms
y
3.0ms
t
Results
AccuracySegmentsBranch
79.6%3y
79.6%3(*.f64 y #s(literal 4 binary64))
85.9%2x
85.9%2(*.f64 x x)
88.8%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
81.2%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
72.6%2t
89.7%2z
88.9%2(-.f64 (*.f64 z z) t)
89.7%2(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes24.0ms (0.6%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#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 (*.f64 z y) z) #s(literal -4 binary64)))
#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 y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
Calls

10 calls:

2.0ms
x
2.0ms
t
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
49.5%3t
41.4%2y
41.4%2(*.f64 y #s(literal 4 binary64))
54.9%3(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
46.8%4x
43.4%2(*.f64 x x)
55.0%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
59.0%2(-.f64 (*.f64 z z) t)
64.6%2z
64.6%2(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes18.0ms (0.5%)

Memory
14.1MiB live, 14.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#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 y) #s(literal 4 binary64)))
Calls

10 calls:

2.0ms
y
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
t
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
36.2%1y
36.2%1(*.f64 y #s(literal 4 binary64))
36.2%1(*.f64 x x)
36.2%1x
36.2%1t
36.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
36.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
36.2%1(-.f64 (*.f64 z z) t)
36.2%1z
36.2%1(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.981993425703319e+171
1.7914971573540088e+173
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.777494929859633e+296
1.6943209949374227e+300
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.777494929859633e+296
1.6943209949374227e+300
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
3.700912850604382e+272
2.2661368773734948e+279
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3022856062460532e+22
1.2480279635580912e+40
Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify48.0ms (1.2%)

Memory
19.6MiB live, 19.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054242
184242
2125242
3156242
4191242
5223242
6260242
7340242
8435242
9510242
10598242
11667242
12723242
13750242
14756242
15757242
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 10000000000000000826871628571058023676436276965152235336326534308832671394311356729372731664122173896717192642523265688348930066834399772699475577180106550229078889679814656 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))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 #s(literal -1 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 499999999999999972701170848296337442289488270977721329566305179912859347121457059657421081410337639824519603649785654416923454595569342486253994641168347891303833520112959137525342032630583758489088677395132802532733033184688425175646530461769523219334840203452357476876288 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))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Outputs
(if (<=.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 10000000000000000826871628571058023676436276965152235336326534308832671394311356729372731664122173896717192642523265688348930066834399772699475577180106550229078889679814656 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))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 10000000000000000826871628571058023676436276965152235336326534308832671394311356729372731664122173896717192642523265688348930066834399772699475577180106550229078889679814656 binary64)) (fma.f64 (*.f64 z (*.f64 #s(literal -4 binary64) y)) z (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 z z) t) y) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (/.f64 #s(literal -1 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal 4 binary64) y))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (/.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)) (/.f64 #s(literal -1 binary64) z))))
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal 4 binary64) y))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 499999999999999972701170848296337442289488270977721329566305179912859347121457059657421081410337639824519603649785654416923454595569342486253994641168347891303833520112959137525342032630583758489088677395132802532733033184688425175646530461769523219334840203452357476876288 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))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))
(if (<=.f64 (*.f64 z z) #s(literal 20000000000000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))

soundness745.0ms (19%)

Memory
6.4MiB live, 6.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02699
03899
115176
2138172
01018070
033168
052132
1206118
21723118
08474115
032175
050176
1153173
21049171
08937166
01133
01733
15633
242233
3535733
0852532
081296
1248292
2805292
33598284
47056284
08335271
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 436 to 227 computations (47.9% saved)

preprocess57.0ms (1.5%)

Memory
30.2MiB live, 30.2MiB allocated
Remove

(abs x)

(abs z)

Compiler

Compiled 716 to 272 computations (62% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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