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

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 15 to 13 computations (13.3% saved)

sample1.4s (20.7%)

Memory
-22.8MiB live, 1 755.5MiB allocated
Samples
985.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 603.0ms
ival-mult: 477.0ms (79.2% of total)
ival-sub: 110.0ms (18.3% of total)
ival-true: 6.0ms (1% of total)
exact: 6.0ms (1% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain194.0ms (2.9%)

Memory
-9.9MiB live, 270.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
130-0-(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
00-0-t
00-0-(*.f64 y #s(literal 4 binary64))
00-0-z
00-0-#s(literal 4 binary64)
00-0-(*.f64 x x)
00-0-(*.f64 z z)
00-0-y
00-0-(-.f64 (*.f64 z z) t)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))n*o210
-.f64(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))nan-rescue130
↳(*.f64 x x)overflow67
↳(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))overflow98
↳(-.f64 (*.f64 z z) t)overflow76
↳(*.f64 z z)overflow76
Confusion
Predicted +Predicted -
+310
-3222
Precision
0.9117647058823529
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3100
-30222
Precision?
0.9117647058823529
Recall?
1.0
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
43.0ms512×0valid
Compiler

Compiled 99 to 37 computations (62.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 13.0ms (70.9% of total)
ival-sub: 4.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess127.0ms (1.9%)

Memory
5.8MiB live, 49.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052190
1141188
2384188
3922184
41540184
51634184
01113
01713
13213
28313
318413
427913
532513
032512
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
Symmetry

(abs z)

(abs x)

Compiler

Compiled 13 to 11 computations (15.4% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.2%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
01741
13241
28341
318441
427941
532541
032540
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
Outputs
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t

localize33.0ms (0.5%)

Memory
-4.4MiB live, 49.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy3.105448108302058
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
accuracy4.9176454073417375
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Samples
26.0ms256×0valid
Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (75.5% of total)
ival-sub: 2.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB 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))

simplify161.0ms (2.4%)

Memory
-8.4MiB live, 181.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081339
1238325
2840324
34346322
08161303
Stop Event
1×iter limit
1×node limit
Counts
31 → 31
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
(* -1 t)
(- (pow z 2) t)
(* -4 (* y (pow z 2)))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(pow z 2)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(+ (* -1 t) (pow z 2))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* t (- (/ (pow z 2) t) 1))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
Outputs
(* -4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 z z) t) x)) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) 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 (fma.f64 (neg.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 (fma.f64 (neg.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 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* -4 (* t y))
(*.f64 (*.f64 t y) #s(literal -4 binary64))
(+ (* -4 (* t y)) (* 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))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) (*.f64 z z))) (*.f64 z z))
(* 4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 4 binary64))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(*.f64 (*.f64 y (fma.f64 (/.f64 t (*.f64 z z)) #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(- (pow 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 (fma.f64 (neg.f64 z) z t) 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)))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 (*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)
(* t (- (/ (pow z 2) t) 1))
(*.f64 (-.f64 (/.f64 (*.f64 z z) t) #s(literal 1 binary64)) t)
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(*.f64 (fma.f64 #s(literal 4 binary64) y (/.f64 (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)) t)) t)
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 (*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)

rewrite255.0ms (3.8%)

Memory
7.0MiB live, 251.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
01733
16033
245633
3573633
0826732
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 216
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) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))))
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(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (fma.f64 z z t)))
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 z #s(literal 4 binary64))) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 t (-.f64 t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (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))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 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)))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 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) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))))
(*.f64 (fma.f64 z z t) (/.f64 (-.f64 (*.f64 z z) t) (fma.f64 z z t)))
(*.f64 (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 z z) t) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 2 binary64))) (+.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 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (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 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 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 3 binary64)) (pow.f64 (*.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 t (/.f64 t (fma.f64 z z t))) #s(literal 2 binary64)) (*.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 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (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 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 (neg.f64 (fma.f64 t t (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z t))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (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 t t (pow.f64 z #s(literal 4 binary64))) (fma.f64 z z t)))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t t (pow.f64 z #s(literal 4 binary64))) (pow.f64 z #s(literal 8 binary64))) (fma.f64 z z t)))
(/.f64 (-.f64 (pow.f64 z #s(literal 12 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 18 binary64)) (pow.f64 t #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 12 binary64))) (fma.f64 (fma.f64 z z t) t (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (fma.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 (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 4 binary64)) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 t (-.f64 t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (/.f64 (*.f64 (neg.f64 t) 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) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (neg.f64 z) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 z (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (*.f64 (neg.f64 z) z) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (neg.f64 z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 z z) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(fma.f64 z (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))
(-.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)
(+.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (fma.f64 z z t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 z z t)))

eval75.0ms (1.1%)

Memory
-31.0MiB live, 61.3MiB allocated
Compiler

Compiled 6 757 to 688 computations (89.8% saved)

prune7.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2318239
Fresh000
Picked101
Done000
Total2328240
Accuracy
96.2%
Counts
240 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.6%
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
▶85.1%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
84.0%
(-.f64 (*.f64 x x) #s(approx (* (* y 4) (- (* z z) t)) (*.f64 (*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)))
▶61.4%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
▶65.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
67.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
38.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 338 to 252 computations (25.4% saved)

simplify118.0ms (1.8%)

Memory
2.0MiB live, 182.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
cost-diff0
(*.f64 x x)
cost-diff1
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
cost-diff3
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff0
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 t y)
cost-diff0
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
cost-diff0
(*.f64 t y)
cost-diff0
(*.f64 (*.f64 t y) #s(literal 4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 z z)
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033233
052230
196227
2257227
3709227
41417224
52292218
64361218
75469218
86177218
96547218
08048217
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t y)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
(*.f64 x x)
x
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)
Outputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 (fma.f64 z (neg.f64 z) t) (*.f64 #s(literal 4 binary64) y) (*.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
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 y t) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 z (*.f64 z (*.f64 y #s(literal -4 binary64))) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 z (*.f64 z (*.f64 y #s(literal -4 binary64))) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 z (*.f64 z y))
(*.f64 z z)
z
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) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(fma.f64 #s(approx (- (* z z) t) (fma.f64 z z (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) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(*.f64 #s(approx (- (* z z) t) (fma.f64 z z (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) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))
#s(approx (- (* z z) t) (fma.f64 z z (neg.f64 t)))
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(fma.f64 z z (neg.f64 t))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(fma.f64 z (/.f64 z t) #s(literal -1 binary64))
(/.f64 z t)
z
t
#s(literal -1 binary64)

localize117.0ms (1.7%)

Memory
-3.3MiB live, 247.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
accuracy3.09641293149848
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
accuracy3.105448108302058
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
accuracy4.9176454073417375
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
accuracy0.0
(*.f64 x x)
accuracy2.8554501724718526
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
accuracy8.95558763504137
(*.f64 (*.f64 z z) y)
accuracy17.617547294748523
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 t y)
accuracy1.1562438074906174
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
accuracy20.995831268514912
#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)
accuracy0.00390625
(*.f64 (*.f64 t y) #s(literal 4 binary64))
accuracy42.10970725565665
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy6.957418468570008
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
Samples
96.0ms256×0valid
Compiler

Compiled 187 to 28 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 62.0ms (80.8% of total)
ival-add: 10.0ms (13% of total)
ival-sub: 2.0ms (2.6% of total)
ival-div: 2.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series45.0ms (0.7%)

Memory
3.7MiB live, 49.5MiB allocated
Counts
17 → 55
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
Outputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* -4 y)
(* t y)
(* y (pow z 2))
(* 4 (* 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)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(+ (* -1 t) (pow z 2))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
-1
(- (/ (pow z 2) t) 1)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(/ (+ (* -1 t) (pow z 2)) t)
(* 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) (* 4 (/ (* 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 (pow z 2)) t)) (* 4 y))))
Calls

12 calls:

TimeVariablePointExpression
23.0ms
z
@inf
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
4.0ms
t
@-inf
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
3.0ms
x
@0
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
2.0ms
y
@-inf
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))
2.0ms
y
@inf
((+ (* (- (* z z) t) (* -4 y)) (* x x)) (- (* z z) t) (* z z) (* -4 y) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* t y) 4) (* t y) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t y) 4) (* x x)) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* z z) y) -4) (* x x)) (* (* z z) y) (* (+ (* (/ z t) z) -1) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (+ (* (/ z t) z) -1))

simplify160.0ms (2.4%)

Memory
4.3MiB live, 198.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133581
1430566
21554566
35868566
08049531
Stop Event
1×iter limit
1×node limit
Counts
55 → 55
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* 4 (* t y))
(+ (* 4 (* t y)) (pow x 2))
(pow x 2)
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(* -4 y)
(* t y)
(* y (pow z 2))
(* 4 (* 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)))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(* -1 t)
(- (pow z 2) t)
(pow z 2)
(- (pow x 2) (* -4 (* t y)))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(+ (* -1 t) (pow z 2))
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
-1
(- (/ (pow z 2) t) 1)
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(/ (pow z 2) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(/ (+ (* -1 t) (pow z 2)) t)
(* 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) (* 4 (/ (* 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 (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))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* 4 (* t y))
(*.f64 (*.f64 y t) #s(literal 4 binary64))
(+ (* 4 (* t y)) (pow x 2))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 4 binary64)) t #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* t y)
(*.f64 y t)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* 4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal 4 binary64)) y)
(* y (+ (* -4 (- (pow z 2) t)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (+ (* 4 t) (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 (fma.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 #s(literal 4 binary64) t (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 (pow z 2)))))
(*.f64 (fma.f64 (*.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(+ (* -4 (* y (pow z 2))) (+ (* 4 (* t y)) (pow x 2)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(pow z 2)
(*.f64 z z)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(* -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
#s(literal -1 binary64)
(- (/ (pow z 2) t) 1)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(* (pow z 2) (+ (* -4 y) (+ (* 4 (/ (* t y) (pow z 2))) (/ (pow x 2) (pow z 2)))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) z) z)) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x)) z) z)) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z))
(* 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 #s(literal -4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y))) (*.f64 z z))
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z z))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(/ (+ (* -1 t) (pow z 2)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (+ (* 4 y) (/ (pow x 2) t))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* t (- (/ (pow 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 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)
(* -1 (* t (+ (* -4 y) (* -1 (/ (+ (* -4 (* y (pow z 2))) (pow x 2)) t)))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.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 (fma.f64 (neg.f64 z) z t) y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 y t) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 z z) t) #s(literal 4 binary64) #s(literal -4 binary64))) t)

rewrite400.0ms (6%)

Memory
4.0MiB live, 232.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033176
052176
1179173
21374173
08579172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 411
Calls
Call 1
Inputs
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 z z) t)
(*.f64 z z)
(*.f64 #s(literal -4 binary64) y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(*.f64 (*.f64 t y) #s(literal 4 binary64))
(*.f64 t y)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 z z) y)
(*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t)))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))))) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t))) y) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t))) y))) (fma.f64 x x (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t))) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -4 binary64))))) (fma.f64 x x (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 z z) t)) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 z z) t)))) (fma.f64 x x (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 z z) t))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))))) (-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t))) (*.f64 (neg.f64 y) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 z z) t))))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 #s(literal 4 binary64) y)))) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 (neg.f64 x) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64)) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.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 (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t))) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t))) y) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t))) y) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 z z) t))) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -4 binary64))) (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -4 binary64))) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (-.f64 (*.f64 z z) t)) (*.f64 y #s(literal -4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 z z) t)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 z z) t)) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 z z) t)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 y #s(literal -4 binary64))) (-.f64 (*.f64 z z) t))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64) (*.f64 x x)))))))))
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(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 z) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z t) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 z t))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z t) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
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(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) t) #s(literal -1 binary64))
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(fma.f64 z (/.f64 z t) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z t) z))) (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 z t) z))))
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(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 z t)) z))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (/.f64 z t)))
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(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 z t) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 z t) z) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 z t) z))

eval222.0ms (3.3%)

Memory
2.5MiB live, 101.4MiB allocated
Compiler

Compiled 21 862 to 1 856 computations (91.5% saved)

prune19.0ms (0.3%)

Memory
4.1MiB live, 48.3MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New5223525
Fresh123
Picked415
Done000
Total5276533
Accuracy
100.0%
Counts
533 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
▶68.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
▶66.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
▶67.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
▶38.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
✓34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 257 to 187 computations (27.2% saved)

simplify32.0ms (0.5%)

Memory
-4.6MiB live, 39.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)))
cost-diff0
(*.f64 x x)
cost-diff1
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
cost-diff0
(-.f64 (*.f64 z z) t)
cost-diff0
(*.f64 (-.f64 (*.f64 z z) t) y)
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 t #s(literal 4 binary64))
cost-diff0
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
cost-diff0
(*.f64 z z)
cost-diff0
(*.f64 (*.f64 z z) y)
cost-diff0
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) z)
cost-diff0
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039301
059301
1107301
2254301
3653301
41203301
51371301
61378301
71383301
81388301
01388291
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
y
z
#s(literal -4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) 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)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))
(*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)
#s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t))
(/.f64 (*.f64 z z) t)
(*.f64 z z)
z
t
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z y) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z y) (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 (*.f64 z z) y)
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal -4 binary64)
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -4 binary64)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
t
#s(literal 4 binary64)
y
(*.f64 x x)
x
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) 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)
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)))
(*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) 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) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))
#s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))
(*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)
(*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)
#s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t))
#s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z))
(/.f64 (*.f64 z z) t)
(*.f64 (/.f64 z t) z)
(*.f64 z z)
z
t

localize112.0ms (1.7%)

Memory
12.1MiB live, 157.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.105448108302058
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
accuracy4.9176454073417375
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)))
accuracy8.530391308486392
(/.f64 (*.f64 z z) t)
accuracy31.778462110408753
#s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t))
accuracy0.00390625
(-.f64 (*.f64 z z) t)
accuracy0.00390625
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
accuracy4.92481542396844
(*.f64 (-.f64 (*.f64 z z) t) y)
accuracy19.636610920891187
#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 t #s(literal 4 binary64))
accuracy0.7538979928166807
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
accuracy20.995831268514912
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
accuracy0.0
(*.f64 z z)
accuracy0.014003759768442016
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
accuracy8.95558763504137
(*.f64 (*.f64 z z) y)
accuracy37.66175030621778
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0859375
(*.f64 (*.f64 y z) z)
accuracy2.8554501724718526
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
accuracy17.617547294748523
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
Samples
92.0ms256×0valid
Compiler

Compiled 207 to 31 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 41.0ms (78.4% of total)
ival-div: 5.0ms (9.6% of total)
ival-sub: 3.0ms (5.7% of total)
ival-add: 3.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
8.5MiB live, 51.8MiB allocated
Counts
21 → 60
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) 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 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)))
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t))
(/.f64 (*.f64 z z) t)
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* 4 (* 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 (/ (* y (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* y (pow z 2))
(* y z)
(* y (- (pow z 2) t))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* 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)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(- (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)))
(* -1 t)
(- (pow z 2) t)
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
-1
(- (/ (pow z 2) t) 1)
(/ (pow z 2) t)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(+ (* -1 t) (pow z 2))
(/ (+ (* -1 t) (pow z 2)) t)
(* 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)))
(* t (- (/ (pow z 2) t) 1))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
y
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (/ z t) z) -1) (/ (* z z) t))
2.0ms
y
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (/ z t) z) -1) (/ (* z z) t))
2.0ms
z
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (/ z t) z) -1) (/ (* z z) t))
2.0ms
z
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (/ z t) z) -1) (/ (* z z) t))
2.0ms
y
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* (* y z) z) -4) (* x x)) (* (* y z) z) (* y z) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (* z z) y) -4) (* (* z z) y) (* z z) (- (* x x) (* (* y 4) (- (* z z) t))) (+ (* (* t 4) y) (* x x)) (* t 4) (* x x) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* (- (* z z) t) y) -4) (* (- (* z z) t) y) (- (* z z) t) (- (* x x) (* (* y 4) (- (* z z) t))) (* (* y 4) (- (* z z) t)) (* y 4) (+ (* (/ z t) z) -1) (/ (* z z) t))

simplify240.0ms (3.6%)

Memory
-46.8MiB live, 216.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134576
1445568
21615565
36278565
08412539
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(* -4 (* y (pow z 2)))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(* 4 (* 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 (/ (* y (pow z 2)) (pow x 2)))))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* y (pow z 2))
(* y z)
(* y (- (pow z 2) t))
(* 4 (* y (- (pow z 2) t)))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(* 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)))))
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(- (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)))
(* -1 t)
(- (pow z 2) t)
(* -4 (* t y))
(+ (* -4 (* t y)) (* 4 (* y (pow z 2))))
-1
(- (/ (pow z 2) t) 1)
(/ (pow z 2) t)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(* 4 (* y (pow z 2)))
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 t)
(+ (* -1 t) (pow z 2))
(/ (+ (* -1 t) (pow z 2)) t)
(* 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)))
(* t (- (/ (pow z 2) t) 1))
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -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) y) #s(literal -4 binary64) (*.f64 x x))
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(+ (* -4 (* y (pow z 2))) (pow x 2))
(fma.f64 (*.f64 (*.f64 z z) #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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) x) (/.f64 y x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* -4 (/ (* y (pow z 2)) (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x) (/.f64 z x) #s(literal 1 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1 (* 4 (/ (* t y) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y (*.f64 x x)) #s(literal 4 binary64)) t #s(literal 1 binary64)) (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* y z)
(*.f64 z y)
(* y (- (pow z 2) t))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* 4 (* y (- (pow z 2) t)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 (fma.f64 (fma.f64 (neg.f64 z) z t) #s(literal 4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (+ (* -4 (pow z 2)) (/ (pow x 2) y)))
(*.f64 (fma.f64 (*.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* y (+ (* 4 t) (/ (pow x 2) y)))
(*.f64 (fma.f64 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 (fma.f64 (neg.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)))))
(*.f64 (fma.f64 (*.f64 z z) #s(literal -4 binary64) (/.f64 (*.f64 x x) y)) y)
(* -1 (* y (+ (* -4 t) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 t #s(literal 4 binary64) (/.f64 (*.f64 x x) y)) y)
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(pow z 2)
(*.f64 z z)
(+ (* -4 (* y (pow z 2))) (* 4 (* t y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t y))
(*.f64 (neg.f64 y) t)
(+ (* -1 (* t y)) (* y (pow z 2)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* -1 t)
(neg.f64 t)
(- (pow z 2) t)
(-.f64 (*.f64 z z) t)
(* -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) y) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (/ (pow z 2) t) 1)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(/ (pow z 2) t)
(/.f64 (*.f64 z z) t)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (/.f64 (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)) z) z)) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (/ (pow x 2) (pow z 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (*.f64 #s(literal -4 binary64) y)) (*.f64 z z))
(* (pow z 2) (+ (* -4 y) (* 4 (/ (* t y) (pow z 2)))))
(*.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 t z) y) #s(literal -4 binary64)) z) z)
(* (pow z 2) (+ y (* -1 (/ (* t y) (pow z 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 t z) y) (*.f64 z z))
(* (pow z 2) (+ 1 (* -1 (/ t (pow z 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z z))) z) z)
(* 4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) #s(literal 4 binary64)) y)
(* (pow z 2) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y)))
(*.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (/.f64 y (*.f64 z z)) t (neg.f64 y))) (*.f64 z z))
(* (pow z 2) (- (/ 1 t) (/ 1 (pow z 2))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 z z))
(- (pow 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) y) #s(literal -4 binary64) (*.f64 x x))
(* 4 t)
(*.f64 t #s(literal 4 binary64))
(+ (* -1 t) (pow z 2))
(-.f64 (*.f64 z z) t)
(/ (+ (* -1 t) (pow z 2)) t)
(fma.f64 (/.f64 z t) z #s(literal -1 binary64))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64) (*.f64 x x))
(* t (+ (* 4 y) (/ (pow x 2) t)))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y)))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* t (+ (* -1 y) (/ (* y (pow z 2)) t)))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* t (- (/ (pow z 2) t) 1))
(-.f64 (*.f64 z z) t)
(* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
(fma.f64 t (/.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -4 binary64)) y (*.f64 x x)) t) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
(* -1 (* t (+ (* -4 y) (* -1 (/ (pow x 2) t)))))
(fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x))
(* -1 (* t (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64))
(* -1 (* t (+ y (* -1 (/ (* y (pow z 2)) t)))))
(*.f64 (-.f64 (*.f64 z z) t) y)
(* -1 (* t (+ 1 (* -1 (/ (pow z 2) t)))))
(-.f64 (*.f64 z z) t)
(* -1 (* t (+ (* -4 (/ (* y (pow z 2)) t)) (* 4 y))))
(*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal 4 binary64))

rewrite233.0ms (3.5%)

Memory
29.8MiB live, 460.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039233
059233
1182233
21235233
08842225
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 338
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))
(*.f64 (*.f64 y z) z)
(*.f64 y z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(*.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
(fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))
(*.f64 t #s(literal 4 binary64))
(*.f64 x x)
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) 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 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
(*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t)))
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t))
(/.f64 (*.f64 z z) t)
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))))) (+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(literal -4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(literal -4 binary64)))) (fma.f64 x x (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(literal -4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y)))) (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 z z) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 (*.f64 z y)) (*.f64 #s(literal -4 binary64) z)) (*.f64 (neg.f64 (*.f64 z y)) (*.f64 #s(literal -4 binary64) z)))) (fma.f64 x x (*.f64 (neg.f64 (*.f64 z y)) (*.f64 #s(literal -4 binary64) z))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) x) x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) x) x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) x) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) x) x)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) x) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 z z)) y (*.f64 (neg.f64 x) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(literal -4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(literal -4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(literal -4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 z z) y)) #s(literal -4 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 z z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 z) z) (*.f64 #s(literal -4 binary64) y))))))
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(fma.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))))
(fma.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 #s(literal 4 binary64) y)))
(fma.f64 x x (*.f64 (neg.f64 y) (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) #s(literal 4 binary64))))
(fma.f64 x x (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) #s(literal 2 binary64)) (fma.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y)) (fma.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y)) (fma.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)))) (*.f64 #s(literal 4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) #s(literal 4 binary64))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 #s(literal -4 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) y)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))))
(-.f64 (*.f64 x x) (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y))) (fma.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))) (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) #s(literal 4 binary64))))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))))
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) y) #s(literal 4 binary64))
(*.f64 (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) #s(literal 4 binary64)) y)
(*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)))
(*.f64 #s(literal 4 binary64) (*.f64 y #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t))))
(*.f64 y (*.f64 #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z)) t)) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
#s(approx (+ (* (/ z t) z) -1) (*.f64 (/.f64 z t) z))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) t))
(*.f64 (/.f64 z t) z)
(*.f64 z (/.f64 z t))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 t))
(/.f64 (*.f64 z z) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 z z) t)
(neg.f64 (/.f64 (*.f64 (neg.f64 z) z) t))

eval82.0ms (1.2%)

Memory
-11.7MiB live, 188.2MiB allocated
Compiler

Compiled 18 684 to 1 586 computations (91.5% saved)

prune16.0ms (0.2%)

Memory
6.6MiB live, 54.2MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4411442
Fresh000
Picked055
Done011
Total4417448
Accuracy
100.0%
Counts
448 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
✓68.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
✓66.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
✓67.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓38.8%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
▶41.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
✓34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Compiler

Compiled 159 to 117 computations (26.4% saved)

simplify14.0ms (0.2%)

Memory
-33.8MiB live, 12.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
01937
14137
210637
322637
444237
569837
673037
073036
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))
(*.f64 z y)
z
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
(*.f64 z y)
z
y
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)

localize31.0ms (0.5%)

Memory
34.9MiB live, 80.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy0.0
(*.f64 #s(literal -4 binary64) z)
accuracy0.0859375
(*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))
accuracy37.66175030621778
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
Samples
24.0ms256×0valid
Compiler

Compiled 31 to 17 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 11.0ms (79.2% of total)
ival-sub: 2.0ms (14.4% 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
-20.3MiB live, 30.6MiB allocated
Counts
4 → 18
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))
(*.f64 z y)
(*.f64 #s(literal -4 binary64) z)
Outputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (pow z 2)))
(* y z)
(* 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 z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -1 (* t (- (* -1 (/ (- (pow x 2) (* 4 (* y (pow z 2)))) t)) (* 4 y))))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* z y) (* -4 z)) (* z y) (* -4 z))
1.0ms
z
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* z y) (* -4 z)) (* z y) (* -4 z))
1.0ms
y
@-inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* z y) (* -4 z)) (* z y) (* -4 z))
1.0ms
z
@inf
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* z y) (* -4 z)) (* z y) (* -4 z))
1.0ms
z
@0
((- (* x x) (* (* y 4) (- (* z z) t))) (* (* z y) (* -4 z)) (* z y) (* -4 z))

simplify119.0ms (1.8%)

Memory
19.2MiB live, 209.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063212
1160206
2507206
32488204
08515189
Stop Event
1×iter limit
1×node limit
Counts
18 → 18
Calls
Call 1
Inputs
(* -4 (* y (- (pow z 2) t)))
(- (pow x 2) (* 4 (* y (- (pow z 2) t))))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(* -4 (* y (pow z 2)))
(* y z)
(* 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 z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(- (pow x 2) (* 4 (* y (pow z 2))))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(* 4 (* t y))
(* t (- (/ (pow x 2) t) (+ (* -4 y) (* 4 (/ (* y (pow z 2)) t)))))
(* -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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y (- (pow z 2) t)) (pow x 2)))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(+ (* -4 (* y (- (pow z 2) t))) (pow x 2))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64))
(* y z)
(*.f64 z y)
(* y (- (/ (pow x 2) y) (* 4 (- (pow z 2) t))))
(*.f64 y (fma.f64 #s(literal 4 binary64) (-.f64 t (*.f64 z z)) (*.f64 (/.f64 x y) x)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 (- (pow z 2) t)))))
(*.f64 y (fma.f64 #s(literal 4 binary64) (-.f64 t (*.f64 z z)) (*.f64 (/.f64 x y) x)))
(- (pow x 2) (* -4 (* t y)))
(fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x))
(- (+ (* -4 (* y (pow z 2))) (pow x 2)) (* -4 (* t y)))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #s(literal -4 binary64)) y (*.f64 x x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* (pow z 2) (- (/ (pow x 2) (pow z 2)) (+ (* -4 (/ (* t y) (pow z 2))) (* 4 y))))
(*.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) t (*.f64 x x)) (*.f64 z z))) (*.f64 z z))
(- (pow x 2) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x))
(- (+ (* 4 (* t y)) (pow x 2)) (* 4 (* y (pow z 2))))
(fma.f64 (*.f64 (-.f64 (*.f64 z z) t) #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)

rewrite175.0ms (2.6%)

Memory
-10.6MiB live, 123.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01634
01934
16934
247934
3579434
0832733
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 15
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
(*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))
(*.f64 z y)
(*.f64 #s(literal -4 binary64) z)
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64)))
(*.f64 (*.f64 (*.f64 z y) z) #s(literal -4 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) z) y)
(*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)
(*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 z z))
(*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z y))
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z y) z))
(*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))
(*.f64 (*.f64 z z) (*.f64 #s(literal -4 binary64) y))
(*.f64 z (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 y (*.f64 (*.f64 #s(literal -4 binary64) z) z))
(*.f64 z y)
(*.f64 y z)
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))

eval3.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Compiler

Compiled 617 to 90 computations (85.4% saved)

prune8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New26127
Fresh000
Picked011
Done156
Total27734
Accuracy
100.0%
Counts
34 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓58.4%
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
✓68.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
✓66.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
✓67.0%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
✓41.1%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
✓34.2%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
37.9%
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
Compiler

Compiled 450 to 183 computations (59.3% saved)

regimes112.0ms (1.7%)

Memory
-11.5MiB live, 85.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 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 z y) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
(fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 #s(approx (+ (* (/ z t) z) -1) (/.f64 (*.f64 z z) t)) t))))
(-.f64 (*.f64 x x) #s(approx (* (* y 4) (- (* z z) t)) (*.f64 (*.f64 y (fma.f64 (*.f64 z z) (/.f64 #s(literal 4 binary64) t) #s(literal -4 binary64))) t)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) #s(approx (- (* z z) t) (*.f64 (fma.f64 (/.f64 z t) z #s(literal -1 binary64)) t))))
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 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
Calls

10 calls:

51.0ms
t
28.0ms
(*.f64 x x)
4.0ms
y
4.0ms
(*.f64 y #s(literal 4 binary64))
4.0ms
x
Results
AccuracySegmentsBranch
95.3%2(*.f64 z z)
95.3%2(-.f64 (*.f64 z z) t)
90.5%2(*.f64 y #s(literal 4 binary64))
92.1%2(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
91.5%2(*.f64 x x)
92.1%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
91.5%2x
90.5%2y
97.2%3z
88.6%1t
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes36.0ms (0.5%)

Memory
-19.2MiB live, 25.9MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 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 z y) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64) (*.f64 x x)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
Calls

5 calls:

24.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
3.0ms
z
3.0ms
(-.f64 (*.f64 z z) t)
3.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
3.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
85.1%3(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
85.6%4(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
91.3%2(*.f64 z z)
86.5%2(-.f64 (*.f64 z z) t)
93.3%3z
Compiler

Compiled 31 to 35 computations (-12.9% saved)

regimes18.0ms (0.3%)

Memory
38.7MiB live, 38.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 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 z y) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t y) #s(literal 4 binary64) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (-.f64 (*.f64 z z) t) y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z)))
Calls

7 calls:

3.0ms
t
3.0ms
x
3.0ms
(*.f64 y #s(literal 4 binary64))
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
74.0%4t
77.7%3(*.f64 y #s(literal 4 binary64))
77.7%3y
87.4%2(*.f64 z z)
85.4%2(*.f64 x x)
85.4%2x
87.4%2z
Compiler

Compiled 13 to 32 computations (-146.2% saved)

regimes34.0ms (0.5%)

Memory
-1.3MiB live, 43.8MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 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 z y) (*.f64 #s(literal -4 binary64) z)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 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 z y) (*.f64 #s(literal -4 binary64) z)))
Calls

10 calls:

17.0ms
(*.f64 z z)
2.0ms
t
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
53.7%5t
54.7%5(*.f64 y #s(literal 4 binary64))
54.7%5y
60.9%3(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
62.0%4(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
61.2%2(*.f64 x x)
64.5%4x
65.1%3(-.f64 (*.f64 z z) t)
65.4%2(*.f64 z z)
69.8%4z
Compiler

Compiled 40 to 58 computations (-45% saved)

regimes47.0ms (0.7%)

Memory
-35.4MiB live, 28.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
Calls

7 calls:

39.0ms
(-.f64 (*.f64 z z) t)
1.0ms
x
1.0ms
z
1.0ms
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
1.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
Results
AccuracySegmentsBranch
42.9%2(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
51.3%2(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
57.3%2(*.f64 x x)
57.3%2x
44.0%2(-.f64 (*.f64 z z) t)
43.4%2(*.f64 z z)
47.8%4z
Compiler

Compiled 35 to 44 computations (-25.7% saved)

regimes11.0ms (0.2%)

Memory
28.0MiB live, 28.0MiB 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 x x))
Outputs
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
Calls

10 calls:

1.0ms
t
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
37.9%1(*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t))
37.9%1(*.f64 z z)
37.9%1(-.f64 (*.f64 z z) t)
37.9%1z
37.9%1t
37.9%1(*.f64 y #s(literal 4 binary64))
37.9%1y
37.9%1(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 z z) t)))
37.9%1(*.f64 x x)
37.9%1x
Compiler

Compiled 40 to 58 computations (-45% saved)

bsearch52.0ms (0.8%)

Memory
-6.8MiB live, 39.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
2.0829595717062797e+269
2.765918961088015e+269
45.0ms
1.5543485676871368e+129
5.216313869002765e+138
Samples
11.0ms192×0valid
Compiler

Compiled 475 to 384 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (76.7% of total)
ival-sub: 2.0ms (30.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.3%)

Memory
-18.9MiB live, 27.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
2.0829595717062797e+269
2.765918961088015e+269
19.0ms
2.3056710878519633e+25
2.6863236353895e+29
Samples
14.0ms128×0valid
Compiler

Compiled 519 to 403 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 7.0ms (66.4% of total)
ival-mult: 3.0ms (28.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
18.8MiB live, 18.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.1243822793392413e+82
1.0018601868693682e+89
Samples
8.0ms144×0valid
Compiler

Compiled 403 to 324 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.9% of total)
ival-sub: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch70.0ms (1%)

Memory
-11.4MiB live, 34.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.3056710878519633e+25
2.6863236353895e+29
11.0ms
2.6149729380207093e-209
1.1825518651375617e-207
55.0ms
1.3959174460714961e-266
1.0151090487786765e-262
Samples
15.0ms240×0valid
Compiler

Compiled 876 to 732 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (70.6% of total)
ival-sub: 2.0ms (23.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6.419465938602804e+44
3.395535505628522e+50
Samples
9.0ms144×0valid
Compiler

Compiled 340 to 288 computations (15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.6% of total)
ival-sub: 1.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify103.0ms (1.5%)

Memory
-22.8MiB live, 28.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057332
174332
2129332
3233332
4337332
5384332
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 z #s(literal 5200000000000000170776124943865615610732465345069980816664029816545484435873697576828806841264182545956537424878476665008972151297899757568 binary64)) (fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) (if (<=.f64 z #s(literal 209999999999999998087806920938442768399883241346172314437062258355144176213638939801565517625314157089377711226381656984892840342676825027136651622160310664939069082146722153911196162701768708226276819739893314240922128613100230355156899228304375036384854056962378170368 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(if (<=.f64 z #s(literal 12499999999999998929143857152 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) (if (<=.f64 z #s(literal 209999999999999998087806920938442768399883241346172314437062258355144176213638939801565517625314157089377711226381656984892840342676825027136651622160310664939069082146722153911196162701768708226276819739893314240922128613100230355156899228304375036384854056962378170368 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(if (<=.f64 z #s(literal 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 z #s(literal 7799714085223967/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) (if (<=.f64 z #s(literal 6014923810931807/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)) (if (<=.f64 z #s(literal 12499999999999998929143857152 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))))))
(if (<=.f64 x #s(literal 950000000000000001088731685519046639007842697216 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))
Outputs
(if (<=.f64 z #s(literal 5200000000000000170776124943865615610732465345069980816664029816545484435873697576828806841264182545956537424878476665008972151297899757568 binary64)) (fma.f64 (-.f64 (*.f64 z z) t) (*.f64 #s(literal -4 binary64) y) (*.f64 x x)) (if (<=.f64 z #s(literal 209999999999999998087806920938442768399883241346172314437062258355144176213638939801565517625314157089377711226381656984892840342676825027136651622160310664939069082146722153911196162701768708226276819739893314240922128613100230355156899228304375036384854056962378170368 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(if (<=.f64 z #s(literal 12499999999999998929143857152 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) (if (<=.f64 z #s(literal 209999999999999998087806920938442768399883241346172314437062258355144176213638939801565517625314157089377711226381656984892840342676825027136651622160310664939069082146722153911196162701768708226276819739893314240922128613100230355156899228304375036384854056962378170368 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 (*.f64 y z) z) #s(literal -4 binary64) (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 (*.f64 z z) y) #s(literal -4 binary64)))))
(if (<=.f64 z #s(literal 63999999999999997402670365206423214815487749737500892138863296627629051068861083233026048 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (fma.f64 (*.f64 t #s(literal 4 binary64)) y (*.f64 x x))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))))
(if (<=.f64 z #s(literal 7799714085223967/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) (if (<=.f64 z #s(literal 6014923810931807/11567161174868858867503549817670155728287145622944061541103214308813593929159469055614459580396462067592797657080971249983993023962637889321478361450442531251940540790713205229865500968930113649556510144425306236378050199552 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)) (if (<=.f64 z #s(literal 12499999999999998929143857152 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 z y) (*.f64 #s(literal -4 binary64) z))))))
(if (<=.f64 x #s(literal 950000000000000001088731685519046639007842697216 binary64)) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 (*.f64 t y) #s(literal 4 binary64))) #s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) (- (* z z) t))) (*.f64 x x))

soundness1.6s (23.9%)

Memory
7.2MiB live, 905.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033176
052176
1179173
21374173
08579172
081339
1238325
2840324
34346322
08161303
01133
01733
16033
245633
3573633
0826732
063212
1160206
2507206
32488204
08515189
039233
059233
1182233
21235233
08842225
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 658 to 337 computations (48.8% saved)

preprocess115.0ms (1.7%)

Memory
9.2MiB live, 112.4MiB allocated
Remove

(abs x)

Compiler

Compiled 1 106 to 340 computations (69.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...