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

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.6s (21.3%)

Memory
32.2MiB live, 967.1MiB allocated
Samples
934.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 570.0ms
ival-mult: 451.0ms (79.2% of total)
ival-sub: 102.0ms (17.9% of total)
ival-true: 6.0ms (1.1% of total)
exact: 6.0ms (1.1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain175.0ms (2.3%)

Memory
-32.9MiB live, 221.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-0-(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
80-0-(-.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-rescue80
(*.f64 x x)overflow62
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))overflow73
(-.f64 (*.f64 z z) t)overflow50
(*.f64 z z)overflow50
Confusion
Predicted +Predicted -
+240
-2230
Precision
0.9230769230769231
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2400
-20230
Precision?
0.9230769230769231
Recall?
1.0
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms512×0valid
Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (67.5% of total)
ival-sub: 4.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess225.0ms (3%)

Memory
28.2MiB live, 105.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052190
1167186
2622182
32744182
45045182
56397182
66827182
76936182
86953182
97292182
107468182
117468182
127468182
137468182
01113
01713
12813
27913
328913
469913
5123213
6185313
7219013
8225913
9226513
10226513
0226512
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
Symmetry

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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)

simplify54.0ms (0.7%)

Memory
-1.3MiB live, 36.7MiB 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
12841
27941
328941
469941
5123241
6185341
7219041
8225941
9226541
10226541
0226540
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal -4 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

localize42.0ms (0.6%)

Memory
-18.7MiB live, 64.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy1.8515521791510292
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
accuracy4.252147414425079
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Samples
36.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (72.7% of total)
ival-sub: 2.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
24.1MiB live, 24.1MiB allocated
Counts
5 → 31
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
(-.f64 (*.f64 z z) t)
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 t)
(- (pow z 2) t)
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Calls

12 calls:

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

simplify440.0ms (5.8%)

Memory
-16.2MiB live, 177.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081296
1248292
2830292
33721284
47665284
08054271
Stop Event
iter limit
node limit
Counts
31 → 31
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 t)
(- (pow z 2) t)
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (* y (- (pow z 2) t)))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(* -4 (* t y))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(* 4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 4 binary64))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(-.f64 (*.f64 z z) t)
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* 4 (* t y))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (/.f64 (*.f64 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (/.f64 (*.f64 x x) t) t (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (*.f64 z z) t) y))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)

rewrite207.0ms (2.7%)

Memory
-30.9MiB live, 228.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
01733
15633
242233
3537333
0854032
Stop Event
iter limit
node limit
iter limit
Counts
5 → 262
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
(-.f64 (*.f64 z z) t)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
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(/.f64 (*.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 z z t))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 (fma.f64 z z t) (*.f64 t t))) (pow.f64 (fma.f64 z z t) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 t #s(literal 4 binary64))) (*.f64 (fma.f64 z z t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 z z t) (fma.f64 (*.f64 t t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 t #s(literal 9 binary64))) (*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 (pow.f64 t #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 z #s(literal 12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 z z t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (neg.f64 t) (*.f64 z z)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))
(neg.f64 (neg.f64 (-.f64 (*.f64 z z) t)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (-.f64 (pow.f64 z #s(literal 8 binary64)) (pow.f64 (*.f64 (fma.f64 z z t) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 z z t) t)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 z z t) t) #s(literal 3 binary64)) (pow.f64 z #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 z z t) t) (-.f64 (*.f64 (fma.f64 z z t) t) (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (-.f64 t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (-.f64 (*.f64 z z) t) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (neg.f64 t))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 #s(literal -1 binary64) t (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 z z) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (fma.f64 z z t) #s(literal -1 binary64)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 t #s(literal -1 binary64) (*.f64 z z))
(fma.f64 (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(fma.f64 z z (neg.f64 t))
(-.f64 (fma.f64 z z #s(literal 0 binary64)) t)
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z)))
(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (*.f64 t (/.f64 t (fma.f64 z z t))))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(-.f64 (*.f64 z z) t)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 z z) t) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (neg.f64 (*.f64 t (/.f64 t (fma.f64 z z t)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))))))
(+.f64 (neg.f64 t) (*.f64 z z))
(+.f64 (*.f64 z z) (neg.f64 t))

eval45.0ms (0.6%)

Memory
27.1MiB live, 101.2MiB allocated
Compiler

Compiled 8 611 to 891 computations (89.7% saved)

prune9.0ms (0.1%)

Memory
-10.3MiB live, 27.9MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2709279
Fresh000
Picked101
Done000
Total2719280
Accuracy
100.0%
Counts
280 → 9
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))
95.6%
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
90.9%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 z z (neg.f64 t))))
71.7%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
65.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
71.7%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
56.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
33.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 332 to 254 computations (23.5% saved)

simplify74.0ms (1%)

Memory
14.5MiB live, 58.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z z)
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))
cost-diff0
(*.f64 x x)
cost-diff1
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 t y)
cost-diff0
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
cost-diff0
(*.f64 t y)
cost-diff0
(*.f64 (*.f64 t y) #s(literal 4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
cost-diff1
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
cost-diff3
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031196
051201
195191
2218189
3549189
4972189
51477189
61991189
72247189
82307189
92313189
102313189
112313189
02313188
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (neg.f64 t) y)
(neg.f64 t)
t
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t y)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- (* z z) t) (neg.f64 t))
(neg.f64 t)
t
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 x x)
x
Outputs
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 z (*.f64 y #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 (neg.f64 t) y)
(neg.f64 t)
t
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal 4 binary64) y) t))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) y) t)
(*.f64 t y)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t y)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
(fma.f64 #s(approx (- (* z z) t) (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))
(*.f64 #s(approx (- (* z z) t) (neg.f64 t)) (*.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
#s(approx (- (* z z) t) (neg.f64 t))
(neg.f64 t)
t
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(fma.f64 z z (neg.f64 t))
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
y
(*.f64 x x)
x

localize84.0ms (1.1%)

Memory
-12.5MiB live, 145.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy5.249172950920567
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
accuracy0.0
(neg.f64 t)
accuracy1.8515521791510292
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
accuracy4.252147414425079
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))
accuracy27.934809812127913
#s(approx (- (* z z) t) (neg.f64 t))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 t y)
accuracy0.6585329455986478
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
accuracy17.5893003279429
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 t y)
accuracy0.036483789073768064
(*.f64 (*.f64 t y) #s(literal 4 binary64))
accuracy42.737200647382984
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy0.0
(neg.f64 t)
accuracy0.6585329455986478
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
accuracy2.226545298417001
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
Samples
58.0ms256×0valid
Compiler

Compiled 179 to 27 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 33.0ms (82.1% of total)
ival-add: 4.0ms (9.9% of total)
ival-sub: 2.0ms (5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
25.3MiB live, 25.3MiB allocated
Counts
18 → 54
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (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)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))
(*.f64 y #s(literal 4 binary64))
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
(neg.f64 t)
#s(approx (- (* z z) t) (neg.f64 t))
Outputs
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(* t y)
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Calls

12 calls:

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

simplify177.0ms (2.3%)

Memory
-22.0MiB live, 135.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137609
1448565
21465519
35478513
08439484
Stop Event
iter limit
node limit
Counts
54 → 54
Calls
Call 1
Inputs
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* (pow x 2) (+ 1 (+ (* -4 (/ (* y (pow z 2)) (pow x 2))) (* 4 (/ (* t y) (pow x 2))))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(* -4 (* y z))
(* -4 y)
(* t y)
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(* -4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Outputs
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* -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))) (* 4 (/ (* t y) (pow x 2))))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(+ (* y (+ (* -4 (pow z 2)) (* 4 t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* t y)
(*.f64 t y)
(* 4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (+ (* -4 (pow z 2)) (* 4 t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* y (+ (* -4 (pow z 2)) (+ (* 4 t) (/ (pow x 2) y))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* y (+ (* -4 t) (* 4 (pow z 2)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* y (+ (* -4 t) (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2))))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 (* t y))
(*.f64 (*.f64 #s(literal -4 binary64) t) y)
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(pow z 2)
(*.f64 z z)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (*.f64 (*.f64 z z) x) (/.f64 (/.f64 x z) z) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (*.f64 (*.f64 z z) x) (/.f64 (/.f64 x z) z) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(* 4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y)
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(-.f64 (*.f64 z z) t)
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)

rewrite266.0ms (3.5%)

Memory
13.2MiB live, 359.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031154
051159
1175149
21354147
08981146
Stop Event
iter limit
node limit
iter limit
Counts
18 → 540
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t)))
(*.f64 y #s(literal 4 binary64))
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
(neg.f64 t)
#s(approx (- (* z z) t) (neg.f64 t))
Outputs
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) z) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (pow.f64 z #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)) (*.f64 (*.f64 z (*.f64 y #s(literal -4 binary64))) z)))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x)))))
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(*.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) t)
(*.f64 t #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (neg.f64 t))
(/.f64 (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (neg.f64 (fma.f64 t t #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 t t)) (-.f64 #s(literal 0 binary64) (neg.f64 t)))
(/.f64 (neg.f64 (*.f64 t t)) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 (neg.f64 t) #s(literal 3 binary64))))
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t)))))
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64)))
(neg.f64 t)
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) t))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) t)
(+.f64 #s(literal 0 binary64) (neg.f64 t))
#s(approx (- (* z z) t) (neg.f64 t))

eval165.0ms (2.2%)

Memory
-9.8MiB live, 110.3MiB allocated
Compiler

Compiled 14 050 to 1 199 computations (91.5% saved)

prune14.0ms (0.2%)

Memory
26.9MiB live, 26.9MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4244428
Fresh224
Picked415
Done000
Total4307437
Accuracy
100.0%
Counts
437 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
71.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
72.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
56.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
33.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
33.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Compiler

Compiled 261 to 197 computations (24.5% saved)

simplify56.0ms (0.7%)

Memory
-4.9MiB live, 33.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
031190
048190
183186
2179186
3474186
4942186
51472186
62096186
72300186
82353186
92355186
102355186
02355186
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
(*.f64 y #s(literal -4 binary64))
y
#s(literal -4 binary64)
(*.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 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 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
#s(literal 4 binary64)
t
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
y
#s(literal -4 binary64)
Outputs
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (-.f64 t (*.f64 z z)) y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 z z (neg.f64 t))
z
(neg.f64 t)
t
(*.f64 y #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) y)
y
#s(literal -4 binary64)
(*.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 y t) #s(literal 4 binary64)))
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 t #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) t)
t
#s(literal 4 binary64)
y
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.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 #s(literal 4 binary64) t) y (*.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 #s(literal 4 binary64) t) y (*.f64 x x))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
#s(literal 4 binary64)
t
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (*.f64 (fma.f64 z z (neg.f64 t)) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(*.f64 (fma.f64 z z (neg.f64 t)) y)
(-.f64 (*.f64 z z) t)
(fma.f64 z z (neg.f64 t))
(*.f64 z z)
z
t
y
#s(literal -4 binary64)

localize125.0ms (1.7%)

Memory
1.8MiB live, 171.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy0.012382519536884034
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy4.256018939285633
(*.f64 (-.f64 (*.f64 z z) t) y)
accuracy25.3492889187993
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal 4 binary64) t)
accuracy0.24999724760556022
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
accuracy17.5893003279429
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
accuracy0.0
(*.f64 z z)
accuracy0.006191259768442017
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy7.021119224591388
(*.f64 (*.f64 z z) y)
accuracy42.815860491285385
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy0.0
(*.f64 (*.f64 t #s(literal 4 binary64)) y)
accuracy0.0
(*.f64 t #s(literal 4 binary64))
accuracy42.737200647382984
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
accuracy0.0
(*.f64 y #s(literal -4 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0
(neg.f64 t)
accuracy5.249172950920567
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
Samples
54.0ms256×0valid
Compiler

Compiled 163 to 28 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 21.0ms (66.7% of total)
ival-add: 5.0ms (15.9% of total)
ival-sub: 4.0ms (12.7% of total)
ival-neg: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory
-30.8MiB live, 45.2MiB allocated
Counts
19 → 49
Calls
Call 1
Inputs
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z z (neg.f64 t))
(neg.f64 t)
(*.f64 y #s(literal -4 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 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
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)
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y (- (pow z 2) t))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* (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) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 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))))
(* 4 t)
(* 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)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* y (pow z 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)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
Calls

12 calls:

TimeVariablePointExpression
12.0ms
x
@0
((+ (* (+ (* z z) (neg t)) (* y -4)) (* x x)) (+ (* z z) (neg t)) (neg t) (* y -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t))
4.0ms
y
@0
((+ (* (+ (* z z) (neg t)) (* y -4)) (* x x)) (+ (* z z) (neg t)) (neg t) (* y -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t))
2.0ms
y
@-inf
((+ (* (+ (* z z) (neg t)) (* y -4)) (* x x)) (+ (* z z) (neg t)) (neg t) (* y -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t))
2.0ms
y
@inf
((+ (* (+ (* z z) (neg t)) (* y -4)) (* x x)) (+ (* z z) (neg t)) (neg t) (* y -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t))
1.0ms
t
@inf
((+ (* (+ (* z z) (neg t)) (* y -4)) (* x x)) (+ (* z z) (neg t)) (neg t) (* y -4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t 4) y) (* t 4) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* 4 t) y) (* x x)) (* 4 t) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t))

simplify164.0ms (2.2%)

Memory
14.8MiB live, 167.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128457
1420457
21357455
35408449
08440422
Stop Event
iter limit
node limit
Counts
49 → 49
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)
(* -4 (* y (pow z 2)))
(* y (pow z 2))
(* y (- (pow z 2) t))
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(pow z 2)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(* -1 (* t y))
(+ (* -1 (* t y)) (* y (pow z 2)))
(* (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) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (pow x 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))))
(* 4 t)
(* 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)))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(* t (+ (* -1 y) (/ (* y (pow z 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)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(- (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 (* 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)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y (- (pow z 2) t))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* y (+ (* 4 t) (/ (pow x 2) y)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) 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) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(- (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) #s(literal -4 binary64)) y (*.f64 x x))
(pow z 2)
(*.f64 z z)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t y))
(*.f64 (neg.f64 t) y)
(+ (* -1 (* t y)) (* y (pow z 2)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(-.f64 (*.f64 z z) t)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z) (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(*.f64 (-.f64 (*.f64 z z) t) y)
(+ (* -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))
(-.f64 (*.f64 z z) t)
(- (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)
(*.f64 #s(literal 4 binary64) t)
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(*.f64 (-.f64 (*.f64 z z) t) y)

rewrite323.0ms (4.3%)

Memory
14.8MiB live, 220.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031165
048165
1141161
2994150
09432150
Stop Event
iter limit
node limit
iter limit
Counts
19 → 549
Calls
Call 1
Inputs
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 z z (neg.f64 t))
(neg.f64 t)
(*.f64 y #s(literal -4 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 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) t)
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(*.f64 (-.f64 (*.f64 z z) t) y)
(-.f64 (*.f64 z z) t)
Outputs
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 z z t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 z z t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 z z t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 z z t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 z z t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (fma.f64 z z t) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 z z t) #s(literal -4 binary64)) y (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (*.f64 (fma.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 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.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 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.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 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.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 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.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 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 z z t) y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 z z t) #s(literal 4 binary64)) y) (fma.f64 (*.f64 (fma.f64 z z t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
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(-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t)))
(-.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 t (*.f64 z z)))
(-.f64 (*.f64 z z) t)
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 t t) (fma.f64 z z t)))
(+.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 z z t) (pow.f64 z #s(literal 4 binary64))))))
(+.f64 #s(literal 0 binary64) (fma.f64 z z t))
(+.f64 (*.f64 z z) t)
(+.f64 t (*.f64 z z))

eval289.0ms (3.8%)

Memory
-6.8MiB live, 104.3MiB allocated
Compiler

Compiled 15 986 to 1 529 computations (90.4% saved)

prune100.0ms (1.3%)

Memory
-18.8MiB live, 35.9MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New5273530
Fresh101
Picked055
Done011
Total5289537
Accuracy
100.0%
Counts
537 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
65.5%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
72.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
56.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
33.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
33.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
33.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
5.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
Compiler

Compiled 180 to 137 computations (23.9% saved)

simplify60.0ms (0.8%)

Memory
14.5MiB live, 50.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024118
034118
160118
2137118
3341118
4754118
51153118
61620118
71984118
82053118
92059118
102059118
02059115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(*.f64 (*.f64 #s(literal -4 binary64) y) t)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
t
#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))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 z z)
z
#s(literal -4 binary64)
y
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) t) y))
(*.f64 (*.f64 #s(literal -4 binary64) y) t)
(*.f64 (*.f64 #s(literal -4 binary64) t) y)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
t
#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 y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 z y) z)
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y (*.f64 x x))
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) z) z)
(*.f64 z z)
z
#s(literal -4 binary64)
y
(*.f64 x x)
x

localize112.0ms (1.5%)

Memory
-14.3MiB live, 61.0MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.015625
(*.f64 (*.f64 z z) #s(literal -4 binary64))
accuracy6.044778364569517
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
accuracy17.01795664493471
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
accuracy0.0
(*.f64 y z)
accuracy0.006191259768442017
(*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))
accuracy0.140625
(*.f64 (*.f64 y z) z)
accuracy42.815860491285385
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
accuracy0.0
(*.f64 (*.f64 #s(literal -4 binary64) y) t)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy60.21953307409446
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
Samples
33.0ms256×0valid
Compiler

Compiled 96 to 22 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 18.0ms (82.7% of total)
ival-sub: 2.0ms (9.2% of total)
ival-add: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
12 → 27
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(*.f64 (*.f64 #s(literal -4 binary64) y) t)
(*.f64 #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)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 z 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))
(* -4 (* t y))
(* -4 y)
(* y (pow z 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 (pow z 2))
(pow z 2)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t 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
2.0ms
y
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) t) (* -4 y) (- (* 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) (* x x)) (* (* z z) -4) (* z z) (* x x))
1.0ms
y
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) t) (* -4 y) (- (* 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) (* x x)) (* (* z z) -4) (* z z) (* x x))
1.0ms
z
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) t) (* -4 y) (- (* 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) (* x x)) (* (* z z) -4) (* z z) (* x x))
1.0ms
y
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) t) (* -4 y) (- (* 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) (* x x)) (* (* z z) -4) (* z z) (* x x))
1.0ms
z
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* -4 y) t) (* -4 y) (- (* 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) (* x x)) (* (* z z) -4) (* z z) (* x x))

simplify216.0ms (2.9%)

Memory
18.5MiB live, 140.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075281
1225277
2723277
32800271
46666271
08043252
Stop Event
iter limit
node limit
Counts
27 → 27
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))
(* -4 (* t y))
(* -4 y)
(* y (pow z 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 (pow z 2))
(pow z 2)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t 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) y) #s(literal -4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 (*.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) y) #s(literal -4 binary64) (*.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 (* t y))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* 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) y) #s(literal -4 binary64) (*.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (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 (pow z 2))
(*.f64 (*.f64 #s(literal -4 binary64) z) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(fma.f64 (*.f64 (neg.f64 z) z) (*.f64 y (fma.f64 (/.f64 (/.f64 t z) z) #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 x x))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (pow 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 #s(literal 4 binary64) y) t)
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* -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)

rewrite293.0ms (3.9%)

Memory
-27.5MiB live, 250.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
034108
198108
2619108
37433108
08200105
Stop Event
iter limit
node limit
iter limit
Counts
12 → 157
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
(*.f64 (*.f64 #s(literal -4 binary64) y) t)
(*.f64 #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)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 z z)
(*.f64 x x)
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) t) y))
(*.f64 (*.f64 t (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 t #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 t) y) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) t) y)
(*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) t))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) t))
(*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(*.f64 (neg.f64 t) (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal -4 binary64) y) t)
(*.f64 #s(literal -4 binary64) (*.f64 t y))
(*.f64 t (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 t))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) t))
(*.f64 #s(literal 4 binary64) (*.f64 y (neg.f64 t)))
(*.f64 y (*.f64 #s(literal -4 binary64) t))
(neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) t))
(neg.f64 (*.f64 t (*.f64 #s(literal 4 binary64) y)))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 16 binary64) (*.f64 y y))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) y)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64))) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))))
(/.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 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))
(/.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 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))))
(neg.f64 (/.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)))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)) (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(neg.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))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 3 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 z z) #s(literal -4 binary64)) y (*.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 (*.f64 z z) (neg.f64 y)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 4 binary64))) y) (/.f64 y (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) z (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) y) (/.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) (neg.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 y) (*.f64 (*.f64 z z) #s(literal 4 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z y) (*.f64 x x))
(fma.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (/.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) (*.f64 z z)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 (*.f64 z z) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(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) y) (*.f64 z z) (*.f64 x x))
(fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z) (*.f64 x x))
(fma.f64 z (*.f64 (*.f64 #s(literal -4 binary64) z) y) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) (*.f64 z z)) (*.f64 x x))
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 4 binary64))) y) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(fma.f64 y (*.f64 (*.f64 z z) #s(literal -4 binary64)) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y)))))
(+.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) z)
(*.f64 (*.f64 z z) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 z z))
(*.f64 z (*.f64 #s(literal -4 binary64) z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))
(*.f64 z z)
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z z) #s(literal 1 binary64))
(pow.f64 z #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval28.0ms (0.4%)

Memory
13.8MiB live, 48.5MiB allocated
Compiler

Compiled 6 194 to 578 computations (90.7% saved)

prune16.0ms (0.2%)

Memory
23.6MiB live, 61.9MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1730173
Fresh000
Picked033
Done066
Total1739182
Accuracy
100.0%
Counts
182 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.7%
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
65.5%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
72.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
56.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
29.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
33.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
33.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
33.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
5.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
Compiler

Compiled 500 to 203 computations (59.4% saved)

regimes73.0ms (1%)

Memory
-40.3MiB live, 93.2MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (fma.f64 z z (neg.f64 t))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z (fma.f64 (*.f64 (neg.f64 t) y) #s(literal -4 binary64) (*.f64 x x)))
Outputs
(fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
Calls

10 calls:

18.0ms
(*.f64 z z)
8.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
7.0ms
x
6.0ms
(*.f64 y #s(literal 4 binary64))
6.0ms
t
Results
AccuracySegmentsBranch
95.6%1x
97.6%2y
97.6%2z
95.6%1t
97.2%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
95.6%1(*.f64 x x)
95.6%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
97.6%2(*.f64 y #s(literal 4 binary64))
97.6%2(-.f64 (*.f64 z z) t)
97.6%2(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes16.0ms (0.2%)

Memory
-6.3MiB live, 30.2MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
Outputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
Calls

3 calls:

4.0ms
z
4.0ms
(-.f64 (*.f64 z z) t)
4.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
97.6%2(-.f64 (*.f64 z z) t)
97.6%2z
97.6%2(*.f64 z z)
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes45.0ms (0.6%)

Memory
34.3MiB live, 118.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x)))
Calls

10 calls:

7.0ms
(*.f64 y #s(literal 4 binary64))
5.0ms
(*.f64 x x)
4.0ms
t
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
86.5%2x
85.7%3t
86.5%2(*.f64 x x)
87.1%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
86.3%3(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
82.0%3y
82.0%3(*.f64 y #s(literal 4 binary64))
86.2%2(-.f64 (*.f64 z z) t)
92.9%2z
92.9%2(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes15.0ms (0.2%)

Memory
-1.8MiB live, 36.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#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) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (neg.f64 t))))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64)))
Calls

4 calls:

4.0ms
(*.f64 z z)
4.0ms
x
3.0ms
z
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
86.1%2x
86.1%2(*.f64 x x)
86.4%2z
86.4%2(*.f64 z z)
Compiler

Compiled 8 to 18 computations (-125% saved)

regimes93.0ms (1.2%)

Memory
-34.3MiB live, 48.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#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) 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:

71.0ms
y
3.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
(-.f64 (*.f64 z z) t)
2.0ms
t
Results
AccuracySegmentsBranch
35.3%2y
35.3%2(*.f64 y #s(literal 4 binary64))
47.5%3t
44.0%3(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
44.0%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
36.1%2x
36.1%2(*.f64 x x)
48.6%2(-.f64 (*.f64 z z) t)
55.6%2(*.f64 z z)
55.6%2z
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes18.0ms (0.2%)

Memory
35.5MiB live, 35.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t #s(literal 4 binary64)) y))
Calls

10 calls:

2.0ms
(-.f64 (*.f64 z z) t)
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
33.2%1y
33.2%1(*.f64 y #s(literal 4 binary64))
33.2%1x
33.2%1(*.f64 x x)
33.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
33.2%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
33.2%1t
33.2%1(-.f64 (*.f64 z z) t)
33.2%1z
33.2%1(*.f64 z z)
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes51.0ms (0.7%)

Memory
-3.9MiB live, 34.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

10 calls:

40.0ms
(-.f64 (*.f64 z z) t)
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
x
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
1.0ms
t
Results
AccuracySegmentsBranch
5.9%1x
5.9%1(*.f64 x x)
5.9%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
5.9%1y
5.9%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
5.9%1(*.f64 y #s(literal 4 binary64))
5.9%1z
5.9%1t
5.9%1(*.f64 z z)
5.9%1(-.f64 (*.f64 z z) t)
Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.631438560866003e+251
2.7347153260314826e+273
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.631438560866003e+251
2.7347153260314826e+273
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.476288050622101e-24
2.095264731340509e-20
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch9.0ms (0.1%)

Memory
-23.8MiB live, 13.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
2.038504224511522e+85
3.2266386509332406e+85
Samples
4.0ms64×0valid
Compiler

Compiled 188 to 154 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (47.7% of total)
ival-mult: 1.0ms (47.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.911406541625903e-12
1.4475029296483337e-10
Samples
6.0ms112×0valid
Compiler

Compiled 296 to 249 computations (15.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (81.1% of total)
ival-sub: 1.0ms (27% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify107.0ms (1.4%)

Memory
-13.1MiB live, 65.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050265
166265
2115265
3320265
4766265
51290265
62840265
76124265
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 z z) #s(literal 500000000000000049576014026499204505960101171081357647294197650375771099989766868704889537932863876963409679925810747793288668382011327698917148937357781044163334670815139639528972168672135441931440206017981701593620530042211982658869287614053785534464 binary64)) (fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 500000000000000049576014026499204505960101171081357647294197650375771099989766868704889537932863876963409679925810747793288668382011327698917148937357781044163334670815139639528972168672135441931440206017981701593620530042211982658869287614053785534464 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 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))))
(if (<=.f64 z #s(literal 25000000000000000365767380766871825774251074696616376481965269679244909106278705397760 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 290142196707511/2417851639229258349412352 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))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))
Outputs
(if (<=.f64 (*.f64 z z) #s(literal 500000000000000049576014026499204505960101171081357647294197650375771099989766868704889537932863876963409679925810747793288668382011327698917148937357781044163334670815139639528972168672135441931440206017981701593620530042211982658869287614053785534464 binary64)) (fma.f64 (fma.f64 z z (neg.f64 t)) (*.f64 y #s(literal -4 binary64)) (*.f64 x x)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 500000000000000049576014026499204505960101171081357647294197650375771099989766868704889537932863876963409679925810747793288668382011327698917148937357781044163334670815139639528972168672135441931440206017981701593620530042211982658869287614053785534464 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 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))))
(if (<=.f64 (*.f64 z z) #s(literal 6805647338418769/680564733841876926926749214863536422912 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) z (*.f64 x x))))
(if (<=.f64 z #s(literal 25000000000000000365767380766871825774251074696616376481965269679244909106278705397760 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal 4 binary64) t) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64))))
(if (<=.f64 z #s(literal 290142196707511/2417851639229258349412352 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))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 #s(literal -4 binary64) y) t))

soundness1.6s (21.1%)

Memory
-3.7MiB live, 799.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031165
048165
1141161
2994150
09432150
081296
1248292
2830292
33721284
47665284
08054271
0137609
1448565
21465519
35478513
08439484
031154
051159
1175149
21354147
08981146
01133
01733
15633
242233
3537333
0854032
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 583 to 316 computations (45.8% saved)

preprocess73.0ms (1%)

Memory
15.4MiB live, 86.7MiB allocated
Remove

(abs x)

(abs z)

Compiler

Compiled 750 to 246 computations (67.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...