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

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.1s (22.4%)

Memory
44.6MiB live, 1 729.5MiB allocated
Samples
681.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 394.0ms
ival-mult: 270.0ms (68.5% of total)
ival-sub: 108.0ms (27.4% of total)
ival-true: 6.0ms (1.5% of total)
exact: 6.0ms (1.5% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain181.0ms (3.7%)

Memory
11.8MiB live, 251.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-0-(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
70-0-(-.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*o180
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))nan-rescue70
(*.f64 x x)overflow61
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))overflow66
(*.f64 y #s(literal 4 binary64))overflow1
(-.f64 (*.f64 z z) t)overflow55
(*.f64 z z)overflow55
Confusion
Predicted +Predicted -
+240
-1231
Precision
0.96
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2400
-10231
Precision?
0.96
Recall?
1.0
Freqs
test
numberfreq
0231
125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
97.0ms512×0valid
Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-sub: 63.0ms (81.4% of total)
ival-mult: 13.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess34.0ms (0.7%)

Memory
15.5MiB live, 60.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052190
1141188
2384188
3922184
41540184
51634184
01113
01713
13213
28313
318413
427913
532513
032512
Stop Event
iter limit
saturated
iter limit
saturated
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 (*.f64 z z) t) 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(-.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)

simplify10.0ms (0.2%)

Memory
-28.9MiB live, 15.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
cost-diff0
(*.f64 x x)
cost-diff1
(-.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
13241
28341
318441
427941
532541
032540
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) 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 (*.f64 z z) t) 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

localize149.0ms (3%)

Memory
-27.0MiB live, 68.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 4 binary64))
accuracy0.0
(*.f64 x x)
accuracy1.6601459291510292
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
accuracy4.319932487299639
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Samples
140.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (68.7% of total)
ival-sub: 2.0ms (22.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory
-11.1MiB live, 41.6MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
Calls

12 calls:

TimeVariablePointExpression
12.0ms
y
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
2.0ms
y
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms
y
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms
x
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))
1.0ms
x
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* x x) (* (* y 4) (- (* z z) t)) (* y 4))

simplify135.0ms (2.7%)

Memory
-8.7MiB live, 178.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068266
1192260
2669260
33193254
08465241
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* y (- (pow z 2) t)))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 (* t y))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 z z))) (*.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 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (/.f64 (*.f64 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))
(* -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))

rewrite214.0ms (4.4%)

Memory
33.0MiB live, 179.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
01728
16028
245628
3573628
0826727
Stop Event
iter limit
node limit
iter limit
Counts
4 → 181
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #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) #s(literal -4 binary64)) y (*.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) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.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 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 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)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 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 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.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) #s(literal -4 binary64)) y (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)))
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eval89.0ms (1.8%)

Memory
-30.8MiB live, 53.5MiB allocated
Compiler

Compiled 5 347 to 467 computations (91.3% saved)

prune7.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1887195
Fresh000
Picked101
Done000
Total1897196
Accuracy
95.7%
Counts
196 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
56.8%
(-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) y)) (fma.f64 z z t)))
31.2%
(-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
66.3%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
68.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
35.3%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 286 to 212 computations (25.9% saved)

simplify59.0ms (1.2%)

Memory
-13.2MiB live, 29.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
027189
039189
174185
2199185
3536185
41008185
51092185
61095185
01095185
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 x x)
x
#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))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x
Outputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 y (-.f64 (*.f64 z z) t)) #s(literal -4 binary64) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 y (*.f64 z z))
(*.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 y t) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 y (*.f64 z z))
(*.f64 z z)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x

localize76.0ms (1.5%)

Memory
29.3MiB live, 134.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy1.2233117628577073
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
accuracy7.6439291306351835
(*.f64 (*.f64 z z) y)
accuracy16.52090326039177
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 t y)
accuracy0.7132183814288537
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
accuracy19.692889770565458
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 z z)
accuracy0.022480029305326048
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy7.6439291306351835
(*.f64 (*.f64 z z) y)
accuracy39.1295225824993
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy0.0
(*.f64 t y)
accuracy0.010097509768442016
(*.f64 (*.f64 t y) #s(literal 4 binary64))
accuracy42.114241330328646
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
accuracy0.0
(*.f64 z z)
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy5.300998441950055
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
Samples
62.0ms256×0valid
Compiler

Compiled 160 to 23 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 36.0ms (85.8% of total)
ival-add: 3.0ms (7.2% of total)
ival-sub: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.5%)

Memory
9.9MiB live, 97.2MiB allocated
Counts
15 → 43
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z 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)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
Outputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* -4 y)
(* t y)
(* y (pow z 2))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(+ (* -1 t) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@0
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z 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) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)))
4.0ms
y
@-inf
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z 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) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)))
2.0ms
y
@inf
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z 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) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)))
2.0ms
y
@0
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z 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) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)))
2.0ms
z
@inf
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z 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) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)))

simplify298.0ms (6.1%)

Memory
-10.9MiB live, 331.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122517
1395499
21405498
36883498
08143462
Stop Event
iter limit
node limit
Counts
43 → 43
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* -4 y)
(* t y)
(* y (pow z 2))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(+ (* -1 t) (pow z 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (- (/ (pow z 2) t) 1))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (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))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 t x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z (/.f64 z x))) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* t y)
(*.f64 y t)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (+ (* 4 t) (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 z z) #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 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(*.f64 (fma.f64 (*.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(pow z 2)
(*.f64 z z)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) z) z)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) z) z)) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z))
(+ (* -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 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* t (- (/ (pow z 2) t) 1))
(*.f64 (-.f64 (/.f64 (*.f64 z z) t) #s(literal 1 binary64)) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* t (+ (* 4 y) (/ (pow x 2) t)))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 x x) t)) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 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) (* -1 (/ (pow x 2) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (*.f64 x x) t)) t)

rewrite165.0ms (3.4%)

Memory
-14.2MiB live, 224.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027150
039150
1132146
21036146
08767146
Stop Event
iter limit
node limit
iter limit
Counts
15 → 356
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z 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)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (*.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 (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.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 (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))))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.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 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.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 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.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 (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))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.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))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (fma.f64 (/.f64 (*.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 (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 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.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 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.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 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.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 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.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 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.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 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))) (*.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64) (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64))))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (neg.f64 z) (*.f64 (neg.f64 z) (*.f64 y #s(literal -4 binary64))) (*.f64 x x))
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 z z) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 y #s(literal -4 binary64)) (*.f64 z z) (*.f64 x x))
(fma.f64 y (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 #s(literal -4 binary64) (*.f64 y (*.f64 z z)) (*.f64 x x))
(fma.f64 (*.f64 z z) (*.f64 y #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 z z) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 (*.f64 y z) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 z (*.f64 (*.f64 y z) #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z (*.f64 z (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 z (*.f64 z (*.f64 y #s(literal -4 binary64))) (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)) (*.f64 x x))))) (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)) (*.f64 x x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y (*.f64 z z)) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y (*.f64 z z)) #s(literal 4 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 y (*.f64 z z)) #s(literal -4 binary64)))

eval84.0ms (1.7%)

Memory
32.2MiB live, 169.9MiB allocated
Compiler

Compiled 14 953 to 1 219 computations (91.8% saved)

prune71.0ms (1.4%)

Memory
-37.8MiB live, 70.8MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4726478
Fresh202
Picked415
Done000
Total4787485
Accuracy
100.0%
Counts
485 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
69.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
72.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
35.3%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
38.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 275 to 205 computations (25.5% saved)

simplify118.0ms (2.4%)

Memory
24.6MiB live, 113.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 t #s(literal 4 binary64))
cost-diff0
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) #s(literal -4 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) z)
cost-diff0
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
cost-diff0
(*.f64 t #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
cost-diff0
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
cost-diff0
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
cost-diff0
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
cost-diff3
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033212
050212
192212
2235212
3596212
41151209
52036203
64015203
75127203
85844203
96198203
08089199
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 z z)
z
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
(*.f64 x x)
x
Outputs
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (fma.f64 z z (neg.f64 t))) (*.f64 x x))
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
#s(approx (- (* z z) t) (fma.f64 z z (neg.f64 t)))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 z z (neg.f64 t))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(fma.f64 z (/.f64 z t) #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 (*.f64 #s(literal 4 binary64) t) y)
(*.f64 t #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) t)
t
#s(literal 4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z (*.f64 z y)) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
(*.f64 (*.f64 z (*.f64 z y)) #s(literal -4 binary64))
(*.f64 (*.f64 y z) z)
(*.f64 z (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z (*.f64 z y)) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)
(*.f64 (*.f64 z (*.f64 z y)) #s(literal -4 binary64))
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 z (*.f64 z #s(literal -4 binary64)))
(*.f64 z z)
z
#s(literal -4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) t)
t
#s(literal 4 binary64)
y
(*.f64 x x)
x

localize143.0ms (2.9%)

Memory
-32.7MiB live, 158.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 t #s(literal 4 binary64))
accuracy0.5039007452111204
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
accuracy19.692889770565458
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
accuracy0.0
(*.f64 z z)
accuracy0.016288769536884032
(*.f64 (*.f64 z z) #s(literal -4 binary64))
accuracy7.663661905970848
(*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)
accuracy39.1295225824993
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
accuracy0.0
(*.f64 y z)
accuracy0.022480029305326048
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
accuracy0.125
(*.f64 (*.f64 y z) z)
accuracy39.1295225824993
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
accuracy0.0
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
accuracy0.0
(*.f64 t #s(literal 4 binary64))
accuracy42.114241330328646
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
accuracy0.0
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
accuracy0.06640625
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy3.558919400519231
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
accuracy5.300998441950055
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
Samples
67.0ms256×0valid
Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 41.0ms (82.8% of total)
ival-add: 3.0ms (6.1% of total)
ival-div: 2.0ms (4% of total)
ival-sub: 2.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.5%)

Memory
14.5MiB live, 58.2MiB allocated
Counts
18 → 45
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 x x)
Outputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y z)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 t)
(+ (* -1 t) (pow z 2))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(- (pow z 2) t)
-1
(- (/ (pow z 2) t) 1)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (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 x 2))
(/ (+ (* -1 t) (pow z 2)) t)
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(* t (- (/ (pow z 2) t) 1))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
((* (+ (* (/ z t) z) -1) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (+ (* (/ z t) z) -1) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* y z) z) -4) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) -4) y) (* (* z z) -4) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* x x))
4.0ms
z
@0
((* (+ (* (/ z t) z) -1) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (+ (* (/ z t) z) -1) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* y z) z) -4) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) -4) y) (* (* z z) -4) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* x x))
2.0ms
z
@inf
((* (+ (* (/ z t) z) -1) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (+ (* (/ z t) z) -1) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* y z) z) -4) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) -4) y) (* (* z z) -4) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* x x))
2.0ms
t
@-inf
((* (+ (* (/ z t) z) -1) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (+ (* (/ z t) z) -1) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* y z) z) -4) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) -4) y) (* (* z z) -4) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* x x))
2.0ms
y
@-inf
((* (+ (* (/ z t) z) -1) t) (+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (+ (* (/ z t) z) -1) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* y z) z) -4) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) -4) y) (* (* z z) -4) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* x x))

simplify182.0ms (3.7%)

Memory
13.2MiB live, 293.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116451
1357442
21237442
35961442
08498413
Stop Event
iter limit
node limit
Counts
45 → 45
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y z)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 t)
(+ (* -1 t) (pow z 2))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(- (pow z 2) t)
-1
(- (/ (pow z 2) t) 1)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (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 x 2))
(/ (+ (* -1 t) (pow z 2)) t)
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(* t (- (/ (pow z 2) t) 1))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (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))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 y x)) (/.f64 t x) #s(literal 1 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 y z)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (+ (* 4 t) (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(* -1 t)
(neg.f64 t)
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
-1
#s(literal -1 binary64)
(- (/ (pow z 2) t) 1)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* -4 (pow z 2))
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) z) z)) (*.f64 z z))
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z z))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) z) z)) (*.f64 z z))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(/ (+ (* -1 t) (pow z 2)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 t)
(*.f64 #s(literal 4 binary64) t)
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z 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 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z 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 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))

rewrite207.0ms (4.2%)

Memory
14.7MiB live, 299.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033181
050181
1155181
21038181
08485177
Stop Event
iter limit
node limit
iter limit
Counts
18 → 328
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 t #s(literal 4 binary64))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(*.f64 t (fma.f64 (/.f64 z t) z #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 (*.f64 (/.f64 z t) z) t)) (*.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) t))) (-.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 #s(literal -1 binary64) t)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) t)) (*.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 (*.f64 (/.f64 z t) z) t))) (-.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 (*.f64 (/.f64 z t) z) t)))
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 t (*.f64 (/.f64 z t) z))) (*.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 t #s(literal -1 binary64)))) (-.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 t #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 t #s(literal -1 binary64))) (*.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 t (*.f64 (/.f64 z t) z)))) (-.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 t (*.f64 (/.f64 z t) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 z t) z) t) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) t) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 (*.f64 (/.f64 z t) z) t) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) t)) (*.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 #s(literal -1 binary64) t)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) t) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 z t) z) t) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 #s(literal -1 binary64) t) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 (*.f64 (/.f64 z t) z) t)) (*.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 (*.f64 (/.f64 z t) z) t)))))
(/.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 (/.f64 z t) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 t #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 t (*.f64 (/.f64 z t) z)) (-.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 t #s(literal -1 binary64))) (*.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 t #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 t #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 t (*.f64 (/.f64 z t) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 t #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 t (*.f64 (/.f64 z t) z))) (*.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 t (*.f64 (/.f64 z t) z))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) t)) (neg.f64 (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64))) t)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 t (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 t (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) t) (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64))) t) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(/.f64 (*.f64 t (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))
(/.f64 (*.f64 t (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))) t (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))) t))
(fma.f64 (*.f64 (/.f64 z t) z) t (*.f64 #s(literal -1 binary64) t))
(fma.f64 #s(literal -1 binary64) t (*.f64 (*.f64 (/.f64 z t) z) t))
(fma.f64 t (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))) (*.f64 t (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(fma.f64 t (*.f64 (/.f64 z t) z) (*.f64 t #s(literal -1 binary64)))
(fma.f64 t #s(literal -1 binary64) (*.f64 t (*.f64 (/.f64 z t) z)))
(-.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 #s(literal 1 binary64) t))
(-.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 (*.f64 (/.f64 (neg.f64 z) t) z) t))
(-.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 (neg.f64 t) #s(literal -1 binary64)))
(-.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 (neg.f64 t) (*.f64 (/.f64 z t) z)))
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))) t) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))) t))
(+.f64 (*.f64 t (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))) (*.f64 t (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 (/.f64 z t) z) t) (*.f64 #s(literal -1 binary64) t))
(+.f64 (*.f64 #s(literal -1 binary64) t) (*.f64 (*.f64 (/.f64 z t) z) t))
(+.f64 (*.f64 t (*.f64 (/.f64 z t) z)) (*.f64 t #s(literal -1 binary64)))
(+.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 t (*.f64 (/.f64 z t) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 x x))))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))) #s(literal 2 binary64)))))) (fma.f64 (*.f64 y #s(literal -4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 x x)))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t)))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64))) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 y #s(literal -4 binary64)) t (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 y #s(literal -4 binary64)) t (*.f64 x x))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t)))))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 t y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 #s(literal 4 binary64) (*.f64 t y) (*.f64 x x))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(fma.f64 y (*.f64 #s(literal 4 binary64) t) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 y (*.f64 #s(literal 4 binary64) t) (*.f64 x x))
(fma.f64 t (*.f64 #s(literal 4 binary64) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(fma.f64 t (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y #s(literal -4 binary64)) t (*.f64 x x))))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) x))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal -4 binary64)) t))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 y t) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 y #s(literal -4 binary64)) t))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) #s(literal 2 binary64)) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 y #s(literal -4 binary64)) t (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) t) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) t)) y))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 4 binary64) t)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 t)) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) t) y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval50.0ms (1%)

Memory
-27.0MiB live, 123.8MiB allocated
Compiler

Compiled 13 727 to 1 194 computations (91.3% saved)

prune31.0ms (0.6%)

Memory
-14.9MiB live, 85.4MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3610361
Fresh011
Picked055
Done011
Total3617368
Accuracy
100.0%
Counts
368 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
69.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
72.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
35.3%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
38.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 147 to 110 computations (25.2% saved)

simplify15.0ms (0.3%)

Memory
30.6MiB live, 30.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01747
02247
14747
213047
330347
454547
575447
679747
079746
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 y z)
y
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
(*.f64 y z)
(*.f64 z y)
y
(*.f64 x x)
x

localize85.0ms (1.7%)

Memory
-15.1MiB live, 75.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal -4 binary64) z)
accuracy1.2460848050961777
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))
accuracy16.52090326039177
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
Samples
75.0ms256×0valid
Compiler

Compiled 39 to 18 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (69% of total)
ival-sub: 2.0ms (13.8% of total)
ival-add: 1.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
5 → 23
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
(*.f64 y z)
(*.f64 x x)
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* y z)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
Calls

12 calls:

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

simplify166.0ms (3.4%)

Memory
-22.3MiB live, 160.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076263
1215257
2725257
33692253
47330253
08059234
Stop Event
iter limit
node limit
Counts
23 → 23
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* y z)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* y z)
(*.f64 z y)
(* 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))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.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))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(- (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) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (/.f64 t z) z) y (neg.f64 y))) (*.f64 z z)))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 #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) #s(literal -4 binary64)) y (*.f64 x x)) t)) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)) t)) t)

rewrite251.0ms (5.1%)

Memory
27.4MiB live, 235.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01743
02243
18543
266643
0827042
Stop Event
iter limit
node limit
iter limit
Counts
5 → 109
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))
(*.f64 #s(literal -4 binary64) z)
(*.f64 y z)
(*.f64 x x)
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64))) (*.f64 x x)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64))) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64))) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))))
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(fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (*.f64 z y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 z y) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z y) z) #s(literal 16 binary64)) z) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) z)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z y) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))
(fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z) (*.f64 x x))
(fma.f64 (*.f64 z z) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 z (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 x x))
(fma.f64 y (*.f64 (*.f64 #s(literal -4 binary64) z) z) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 x x (*.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (*.f64 z y)))
(fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 3 binary64)) #s(literal -64 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 z y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 z y) z) #s(literal 4 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (neg.f64 y) z)) (*.f64 #s(literal -4 binary64) z)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (*.f64 z y)))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(*.f64 z y)
(*.f64 y z)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval16.0ms (0.3%)

Memory
-11.7MiB live, 31.4MiB allocated
Compiler

Compiled 6 032 to 459 computations (92.4% saved)

prune7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done066
Total1217128
Accuracy
100.0%
Counts
128 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
69.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
72.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
35.3%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
38.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 431 to 179 computations (58.5% saved)

regimes68.0ms (1.4%)

Memory
-8.8MiB live, 50.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#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 #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) y)) (fma.f64 z z t)))
(-.f64 (*.f64 x x) (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) y)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
Outputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
Calls

10 calls:

30.0ms
z
4.0ms
t
4.0ms
(*.f64 y #s(literal 4 binary64))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
97.6%2(*.f64 z z)
97.6%2(-.f64 (*.f64 z z) t)
94.9%3(*.f64 y #s(literal 4 binary64))
93.8%2(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
91.7%1(*.f64 x x)
93.4%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
91.7%1x
94.9%3y
97.6%2z
91.7%1t
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes46.0ms (0.9%)

Memory
-30.0MiB live, 61.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#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 #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x)))
Calls

10 calls:

15.0ms
(-.f64 (*.f64 z z) t)
6.0ms
x
3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
t
3.0ms
y
Results
AccuracySegmentsBranch
76.1%2(*.f64 x x)
76.1%2x
81.9%3t
81.9%6(*.f64 y #s(literal 4 binary64))
81.9%6y
84.2%3(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
84.6%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
93.1%2(*.f64 z z)
89.0%2(-.f64 (*.f64 z z) t)
93.1%2z
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes8.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#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 #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
Calls

3 calls:

3.0ms
(-.f64 (*.f64 z z) t)
2.0ms
z
2.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
83.7%2(-.f64 (*.f64 z z) t)
86.1%2(*.f64 z z)
86.1%2z
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes23.0ms (0.5%)

Memory
12.7MiB live, 56.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
Calls

10 calls:

5.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
2.0ms
x
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
t
2.0ms
y
Results
AccuracySegmentsBranch
44.6%4(*.f64 y #s(literal 4 binary64))
44.6%4y
42.7%2(*.f64 x x)
42.7%2x
49.3%3t
50.8%3(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
50.8%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
56.4%2(-.f64 (*.f64 z z) t)
61.0%2(*.f64 z z)
61.0%2z
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes15.0ms (0.3%)

Memory
-29.7MiB live, 26.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Calls

10 calls:

3.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
1.0ms
x
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
34.2%1(*.f64 y #s(literal 4 binary64))
34.2%1y
34.2%1x
34.2%1(*.f64 x x)
34.2%1t
34.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
34.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
34.2%1(-.f64 (*.f64 z z) t)
34.2%1(*.f64 z z)
34.2%1z
Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch16.0ms (0.3%)

Memory
26.8MiB live, 26.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.0142826234922814e+151
6.403093048278428e+157
Samples
8.0ms144×0valid
Compiler

Compiled 340 to 279 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.8% of total)
ival-sub: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (1.1%)

Memory
-29.7MiB live, 15.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
51.0ms
0.0025561612981177383
0.00651700955110495
Samples
5.0ms80×0valid
Compiler

Compiled 246 to 193 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (74.8% of total)
ival-sub: 1.0ms (37.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch9.0ms (0.2%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
5.148750586378289e+19
1.400167519505848e+20
Samples
5.0ms80×0valid
Compiler

Compiled 231 to 188 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (76.9% of total)
ival-sub: 1.0ms (38.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0025561612981177383
0.00651700955110495
Compiler

Compiled 216 to 183 computations (15.3% saved)

simplify18.0ms (0.4%)

Memory
-16.8MiB live, 27.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039200
156200
2111200
3215200
4319200
5367200
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))))
(if (<=.f64 z #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))))
(if (<=.f64 z #s(literal 140000000000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Outputs
(if (<=.f64 z #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))))
(if (<=.f64 z #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 y z) (*.f64 x x))))
(if (<=.f64 z #s(literal 140000000000000000000 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 3170534137668829/576460752303423488 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))

soundness581.0ms (11.8%)

Memory
10.2MiB live, 492.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027150
039150
1132146
21036146
08767146
068266
1192260
2669260
33193254
08465241
01128
01728
16028
245628
3573628
0826727
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 416 to 224 computations (46.2% saved)

preprocess57.0ms (1.2%)

Memory
27.2MiB live, 74.0MiB allocated
Remove

(abs x)

Compiler

Compiled 692 to 268 computations (61.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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