Data.Array.Repa.Algorithms.ColorRamp:rampColorHotToCold from repa-algorithms-3.4.0.1, B

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze52.0ms (1%)

Memory
20.6MiB live, 60.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.0s (18.8%)

Memory
18.6MiB live, 1 271.4MiB allocated
Samples
672.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-sub: 180.0ms (45.6% of total)
ival-mult: 132.0ms (33.4% of total)
ival-div: 64.0ms (16.2% of total)
exact: 9.0ms (2.3% of total)
ival-true: 6.0ms (1.5% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain242.0ms (4.4%)

Memory
-43.2MiB live, 186.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-z
00-0-#s(literal 4 binary64)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
00-0-y
00-0-(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
00-0-(*.f64 z #s(literal 1/2 binary64))
00-0-(-.f64 x y)
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
70.0ms512×0valid
Compiler

Compiled 129 to 44 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 39.0ms (72.9% of total)
ival-sub: 7.0ms (13.1% of total)
ival-mult: 7.0ms (13.1% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess327.0ms (6%)

Memory
9.1MiB live, 120.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039109
1126101
244099
3194481
01011
01511
12811
27511
32339
49089
526399
649829
758079
859669
959839
1059839
1163659
1265219
1365219
1465219
1565939
1668129
1768269
068268
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
Compiler

Compiled 11 to 10 computations (9.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify284.0ms (5.2%)

Memory
4.2MiB live, 86.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
cost-diff128
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
cost-diff320
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
01538
12838
27538
323336
490836
5263936
6498236
7580736
8596636
9598336
10598336
11636536
12652136
13652136
14652136
15659336
16681236
17682636
0682633
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
Outputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (/.f64 #s(literal -4 binary64) z) (-.f64 y x) #s(literal -2 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(-.f64 x y)
x
y
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)

localize25.0ms (0.5%)

Memory
5.1MiB live, 40.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(*.f64 z #s(literal 1/2 binary64))
accuracy0
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
accuracy0.01171875
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Samples
19.0ms256×0valid
Compiler

Compiled 78 to 22 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (37.3% of total)
ival-mult: 3.0ms (37.3% of total)
ival-div: 2.0ms (24.9% 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
14.2MiB live, 14.2MiB allocated
Counts
5 → 50
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms
y
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms
x
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms
x
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))
1.0ms
z
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (- (- x y) (* z 1/2)) (* 4 (- (- x y) (* z 1/2))) (- x y) (* z 1/2))

simplify133.0ms (2.4%)

Memory
8.2MiB live, 125.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127384
1434333
21507313
35323313
08271282
Stop Event
1×iter limit
1×node limit
Counts
50 → 49
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(* -1 (+ y (* 1/2 z)))
(- x (+ y (* 1/2 z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -1 y)
(- x y)
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 1 (* -1 (/ y x))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (/ y x) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- x (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(+ x (* -1 y))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (/ x y) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(- (+ x (* -1/2 z)) y)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(* 1/2 z)
-2
(- (* 4 (/ (- x y) z)) 2)
(* -1/2 z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (+ y (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) z (neg.f64 y))
(- x (+ y (* 1/2 z)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -4 (+ y (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
x
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- x (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z x)
(- (+ x (* -1 y)) (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* 4 (- x (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(+ x (* -1 y))
(-.f64 x y)
(* -4 (/ y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 4 (/ (- x y) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (+ x (* -1/2 z)) y)
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* 4 (- x y))
(*.f64 (-.f64 y x) #s(literal -4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* 1/2 z)
(*.f64 #s(literal 1/2 binary64) z)
-2
#s(literal -2 binary64)
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (/ x z) (+ 1/2 (/ y z))))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))
(* -1 (* z (+ 1/2 (* -1 (/ (- x y) z)))))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)) #s(literal -4 binary64))

rewrite330.0ms (6%)

Memory
-1.3MiB live, 231.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
01533
16033
249733
3727833
0863130
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 370
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64))))
(-.f64 x y)
(*.f64 z #s(literal 1/2 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) z))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) z))
(*.f64 (/.f64 #s(literal 4 binary64) z) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)))
(*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) (neg.f64 z)))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (/.f64 #s(literal 4 binary64) (neg.f64 z)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) z)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 y y))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(neg.f64 (neg.f64 (-.f64 x y)))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) y (*.f64 x x))) (-.f64 x y) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 x (+.f64 y x)) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(fma.f64 x (/.f64 x (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x (*.f64 #s(literal 1 binary64) y))
(-.f64 x y)
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(*.f64 #s(literal 1/2 binary64) z)
(*.f64 z #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) z))

eval69.0ms (1.3%)

Memory
-16.2MiB live, 104.4MiB allocated
Compiler

Compiled 10 232 to 1 480 computations (85.5% saved)

prune30.0ms (0.5%)

Memory
-10.7MiB live, 28.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3838391
Fresh000
Picked101
Done000
Total3848392
Accuracy
100.0%
Counts
392 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.0%
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
64.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
▶36.5%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
34.2%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶100.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
▶70.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
68.3%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
▶36.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 270 to 224 computations (17% saved)

simplify145.0ms (2.7%)

Memory
21.5MiB live, 102.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64))))
cost-diff128
(-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))
cost-diff320
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
cost-diff1536
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
cost-diff0
(/.f64 #s(literal 4 binary64) z)
cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal 4 binary64) x)
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) z)
cost-diff0
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031205
049186
196186
2230186
3737177
43214161
08246157
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
x
y
z
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64))))
#s(literal 4 binary64)
(-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(+.f64 y x)
(*.f64 z #s(literal 1/2 binary64))
z
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
x
y
z
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) x)
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
x
z
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
z
x
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
(fma.f64 (-.f64 y x) (/.f64 #s(literal -4 binary64) z) #s(literal -2 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64))))
(*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 1/2 binary64) z (-.f64 y x)))
#s(literal 4 binary64)
(-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(-.f64 x y)
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(+.f64 y x)
(*.f64 z #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) z)
z
#s(literal 1/2 binary64)

localize106.0ms (1.9%)

Memory
-9.5MiB live, 111.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.01171875
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
accuracy1.999977980844482
(fma.f64 (neg.f64 y) y (*.f64 x x))
accuracy25.60203880479128
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
accuracy0
(/.f64 #s(literal 4 binary64) z)
accuracy0.33422339941751933
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
accuracy19.142873727053445
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
accuracy0
(*.f64 #s(literal 4 binary64) x)
accuracy0.01171875
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
accuracy42.17954397966937
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
accuracy40.80140709202142
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
accuracy0
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
accuracy0
(-.f64 x y)
accuracy0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy0.015625
(/.f64 (-.f64 x y) z)
Samples
65.0ms256×0valid
Compiler

Compiled 393 to 62 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 27.0ms (59.2% of total)
ival-div: 8.0ms (17.6% of total)
ival-add: 5.0ms (11% of total)
ival-sub: 4.0ms (8.8% of total)
ival-neg: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (1%)

Memory
-3.0MiB live, 66.6MiB allocated
Counts
17 → 91
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(* -1 y)
(- x y)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(+ x (* -1 y))
(* 4 (/ (- (* -1 y) (* 1/2 z)) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1 y) (* 1/2 z)) z)))
(- (* -1 y) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- (* -1 y) (* 1/2 z)))
(+ (* 4 x) (* 4 (- (* -1 y) (* 1/2 z))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(/ x z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- x (* 1/2 z))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x y) 1))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* 1/2 (/ z y)))))
(* y (- (+ (* 4 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (* 4 (/ (- x (* 1/2 z)) y))) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 4 (- x (* 1/2 z)))) y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (- x y) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z))
(/ (+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))) z)
(+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y)))
(+ (* -1 (/ (pow y 2) (+ x y))) (+ (* -1/2 z) (/ (pow x 2) (+ x y))))
(* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))
(+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y)))))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2)
(* -1/2 z)
(* z (- (+ (* -1 (/ (pow y 2) (* z (+ x y)))) (/ (pow x 2) (* z (+ x y)))) 1/2))
(* z (- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)))))
(* -1 (* z (+ 2 (* -4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
y
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (+ (* (neg y) y) (* x x)) (+ y x)) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2)) (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) (+ (* (neg y) y) (* x x)) (neg y))
6.0ms
x
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (+ (* (neg y) y) (* x x)) (+ y x)) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2)) (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) (+ (* (neg y) y) (* x x)) (neg y))
4.0ms
x
@inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (+ (* (neg y) y) (* x x)) (+ y x)) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2)) (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) (+ (* (neg y) y) (* x x)) (neg y))
4.0ms
x
@0
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (+ (* (neg y) y) (* x x)) (+ y x)) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2)) (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) (+ (* (neg y) y) (* x x)) (neg y))
3.0ms
y
@-inf
((/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ (- x y) z) 4) -2) (/ (- x y) z) (- x y) (/ (* 4 (- (- x y) (* z 1/2))) z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* 4 x) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (/ 4 z) x) -2) (/ 4 z) (/ (+ (* (neg y) y) (* x x)) (+ y x)) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2)) (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) (+ (* (neg y) y) (* x x)) (neg y))

simplify145.0ms (2.6%)

Memory
11.7MiB live, 193.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631018
1895905
23448864
08327800
Stop Event
1×iter limit
1×node limit
Counts
91 → 90
Calls
Call 1
Inputs
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (/ x z))
(* -1 y)
(- x y)
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* 4 x)
-2
(- (* 4 (/ x z)) 2)
(+ x (* -1 y))
(* 4 (/ (- (* -1 y) (* 1/2 z)) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1 y) (* 1/2 z)) z)))
(- (* -1 y) (* 1/2 z))
(- (+ x (* -1 y)) (* 1/2 z))
(* 4 (- (* -1 y) (* 1/2 z)))
(+ (* 4 x) (* 4 (- (* -1 y) (* 1/2 z))))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (pow x 2))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(/ x z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- x (* 1/2 z))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (/ x (* y z)) (/ 1 z)))
(* y (- (/ x y) 1))
(* -4 y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* 1/2 (/ z y)))))
(* y (- (+ (* 4 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (* 4 (/ (- x (* 1/2 z)) y))) 4))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 4 (- x (* 1/2 z)))) y)))))
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(/ (- x y) z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(/ (+ (* -2 z) (* 4 x)) z)
(/ 4 z)
(* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z))
(/ (+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))) z)
(+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y)))
(+ (* -1 (/ (pow y 2) (+ x y))) (+ (* -1/2 z) (/ (pow x 2) (+ x y))))
(* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))
(+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y)))))
(- (* 4 (/ (- x y) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2)
(* -1/2 z)
(* z (- (+ (* -1 (/ (pow y 2) (* z (+ x y)))) (/ (pow x 2) (* z (+ x y)))) 1/2))
(* z (- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(* -1 (* z (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)))))
(* -1 (* z (+ 2 (* -4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)))))
Outputs
(* -4 (/ (+ y (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(* -4 (+ y (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
-2
#s(literal -2 binary64)
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(+ x (* -1 y))
(-.f64 x y)
(* 4 (/ (- (* -1 y) (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1 y) (* 1/2 z)) z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(- (* -1 y) (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z (neg.f64 y))
(- (+ x (* -1 y)) (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z (-.f64 x y))
(* 4 (- (* -1 y) (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* 4 x) (* 4 (- (* -1 y) (* 1/2 z))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(/ x z)
(/.f64 x z)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) z) x)
x
(* x (+ 1 (* -1 (/ y x))))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (- (* 4 (/ 1 z)) (* 2 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 2 binary64) x)) x)
(* x (+ 1 (* -1 (/ (+ y (* 1/2 z)) x))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (neg.f64 y)) x) x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 y x) #s(literal 1 binary64)) x) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) z) x)
(* -1 (* x (- (/ y x) 1)))
(fma.f64 (/.f64 (neg.f64 y) x) x x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* -1 (* x (- (* 2 (/ 1 x)) (* 4 (/ 1 z)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) z) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (+ (* 1/2 (/ z x)) (/ y x)) 1)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z (neg.f64 y)) x) x x)
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* 4 (- x (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
(- x (* 1/2 z))
(fma.f64 #s(literal -1/2 binary64) z x)
(* -4 (/ y z))
(*.f64 (/.f64 y z) #s(literal -4 binary64))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* y (- (/ x (* y z)) (/ 1 z)))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) z) y)
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* y (- (/ x y) (+ 1 (* 1/2 (/ z y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y))
(* y (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ x y) (/ (pow x 2) (pow y 2)))) (+ 1 (* 1/2 (/ z y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y))
(* y (- (+ (* 4 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (* 4 (/ (- x (* 1/2 z)) y))) 4))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) z) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x z) #s(literal 1/2 binary64)) y) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) z)) y)
(* -1 (* y (+ 1 (* -1 (/ (- x (* 1/2 z)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) (* 1/2 z)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) y (neg.f64 y))
(* -1 (* y (+ 4 (* -1 (/ (+ (* -4 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 4 (- x (* 1/2 z)))) y)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* 4 (/ (- x y) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z (-.f64 x y)) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 x)) z)
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/ 4 z)
(/.f64 #s(literal 4 binary64) z)
(* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z))
(/ (+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))) z)
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(+ (* -1 (/ (pow y 2) (+ x y))) (+ (* -1/2 z) (/ (pow x 2) (+ x y))))
(fma.f64 #s(literal -1/2 binary64) z (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)))
(* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y)))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) z))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2)
(fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(* -1/2 z)
(*.f64 #s(literal -1/2 binary64) z)
(* z (- (+ (* -1 (/ (pow y 2) (* z (+ x y)))) (/ (pow x 2) (* z (+ x y)))) 1/2))
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)) z)
(* z (- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2))
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)) z)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)) z)
(* -1 (* z (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (+.f64 y x) z)) #s(literal 1/2 binary64)) z)
(* -1 (* z (+ 2 (* -4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64)) z)

rewrite355.0ms (6.5%)

Memory
-19.6MiB live, 263.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031178
049170
1209146
21777146
08690138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 828
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 (-.f64 x y) z)
(-.f64 x y)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(/.f64 #s(literal 4 binary64) z)
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
(-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))
(*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(neg.f64 y)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x y) z)) #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 x y) z)) #s(literal 4 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 x y) z)) #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 x y) z)) #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 x y) z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) #s(literal -8 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64)))) (fma.f64 (pow.f64 (/.f64 z (-.f64 x y)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal -8 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))))
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(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))) (/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 y) y (*.f64 (neg.f64 x) x))))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))
(neg.f64 y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y)))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval229.0ms (4.2%)

Memory
-5.2MiB live, 111.0MiB allocated
Compiler

Compiled 23 675 to 3 209 computations (86.4% saved)

prune14.0ms (0.3%)

Memory
28.8MiB live, 28.8MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7142716
Fresh123
Picked145
Done000
Total7168724
Accuracy
100.0%
Counts
724 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓36.5%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
▶34.2%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
▶68.3%
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
✓100.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓70.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
▶98.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓36.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 147 to 120 computations (18.4% saved)

simplify146.0ms (2.7%)

Memory
-20.2MiB live, 88.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) #s(literal -4 binary64))
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
cost-diff0
(*.f64 #s(literal -4 binary64) y)
cost-diff0
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
cost-diff0
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
cost-diff0
(/.f64 #s(literal -4 binary64) z)
cost-diff0
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
cost-diff0
(/.f64 x z)
cost-diff0
(fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64))
cost-diff0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
cost-diff704
(-.f64 (/.f64 x z) (/.f64 y z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036168
049168
195167
2240161
3800156
43392147
08289143
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 x z)
x
z
(/.f64 y z)
y
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
(*.f64 (-.f64 y x) #s(literal -4 binary64))
(-.f64 y x)
y
x
#s(literal -4 binary64)
z
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64))
(fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64))
(-.f64 (/.f64 x z) (/.f64 y z))
(/.f64 (-.f64 x y) z)
(/.f64 x z)
x
z
(/.f64 y z)
y
#s(literal 4 binary64)
#s(literal -2 binary64)
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(literal -2 binary64)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
(*.f64 (-.f64 y x) #s(literal -4 binary64))
(-.f64 y x)
y
x
#s(literal -4 binary64)
z

localize127.0ms (2.3%)

Memory
-1.3MiB live, 93.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y x)
accuracy0
(*.f64 (-.f64 y x) #s(literal -4 binary64))
accuracy0.01171875
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
accuracy22.560719755384316
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
accuracy0
(*.f64 #s(literal -4 binary64) y)
accuracy0.01171875
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
accuracy42.732266915676114
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
accuracy0
(/.f64 #s(literal -4 binary64) z)
accuracy0.3434556757033119
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
accuracy20.015491514346316
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
accuracy0
(/.f64 y z)
accuracy0
(/.f64 x z)
accuracy0
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
accuracy1.1093708716604116
(-.f64 (/.f64 x z) (/.f64 y z))
Samples
96.0ms256×0valid
Compiler

Compiled 302 to 71 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 35.0ms (58% of total)
ival-mult: 13.0ms (21.5% of total)
ival-sub: 6.0ms (9.9% of total)
ival-add: 4.0ms (6.6% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series68.0ms (1.3%)

Memory
15.6MiB live, 53.3MiB allocated
Counts
15 → 73
Calls
Call 1
Inputs
(-.f64 (/.f64 x z) (/.f64 y z))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
(*.f64 (-.f64 y x) #s(literal -4 binary64))
(-.f64 y x)
(/.f64 y z)
Outputs
(* -1 (/ y z))
(- (/ x z) (/ y z))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(/ x z)
(* 4 (/ (- (* -1 y) (* 1/2 z)) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1 y) (* 1/2 z)) z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 y)
(+ (* -4 y) (* 4 x))
y
(+ y (* -1 x))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* -1 (/ y z)) (/ x z))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- (* 4 (/ x z)) 2)
-2
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- y x)
(/ y z)
(* y (- (/ x (* y z)) (/ 1 z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))
(/ (- x y) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z))
(/ (+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (/ (- (* -1 x) (* -1 y)) z))
(- (* -4 (/ (- (* -1 x) (* -1 y)) z)) 2)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
51.0ms
x
@-inf
((- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (/ y z))
2.0ms
z
@-inf
((- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (/ y z))
2.0ms
x
@inf
((- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (/ y z))
2.0ms
x
@0
((- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (/ y z))
2.0ms
z
@0
((- (/ x z) (/ y z)) (/ (* 4 (- (- x y) (* z 1/2))) z) (+ (* (- (/ x z) (/ y z)) 4) -2) (/ x z) (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (+ (* (/ -4 z) y) -2) (/ -4 z) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* -4 y) (/ (* 4 (- (- x y) (* z 1/2))) z) (* 4 (- (- x y) (* z 1/2))) (* (- y x) -4) (- y x) (/ y z))

simplify128.0ms (2.3%)

Memory
-21.9MiB live, 134.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208736
1698682
22481615
08541557
Stop Event
1×iter limit
1×node limit
Counts
73 → 72
Calls
Call 1
Inputs
(* -1 (/ y z))
(- (/ x z) (/ y z))
(* -4 (/ (+ y (* 1/2 z)) z))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(- (* -4 (/ y z)) 2)
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(/ x z)
(* 4 (/ (- (* -1 y) (* 1/2 z)) z))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1 y) (* 1/2 z)) z)))
(* -4 (+ y (* 1/2 z)))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(* -4 y)
(+ (* -4 y) (* 4 x))
y
(+ y (* -1 x))
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(* 4 (/ x z))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(* 4 x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(* x (+ 4 (* -4 (/ y x))))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))))
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(* -1 (* x (- (* 4 (/ y x)) 4)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ (* -1 (/ y z)) (/ x z))
(* 4 (/ (- x (* 1/2 z)) z))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(- (* 4 (/ x z)) 2)
-2
(* 4 (- x (* 1/2 z)))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(- y x)
(/ y z)
(* y (- (/ x (* y z)) (/ 1 z)))
(* -4 (/ y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(* y (- (* 4 (/ x y)) 4))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(* -1 (* y (- (/ x y) 1)))
(/ (- x y) z)
(* 4 (/ (- x y) z))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z))
(/ (+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))) z)
(/ (+ (* -4 y) (* -2 z)) z)
(/ -4 z)
(* 4 (- x y))
(+ (* -2 z) (* 4 (- x y)))
(- (* 4 (/ (- x y) z)) 2)
(- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2)
(* -2 z)
(* z (- (* 4 (/ (- x y) z)) 2))
(* -1 (/ (- (* -1 x) (* -1 y)) z))
(- (* -4 (/ (- (* -1 x) (* -1 y)) z)) 2)
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
Outputs
(* -1 (/ y z))
(/.f64 (neg.f64 y) z)
(- (/ x z) (/ y z))
(/.f64 (-.f64 x y) z)
(* -4 (/ (+ y (* 1/2 z)) z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(+ (* -4 (/ (+ y (* 1/2 z)) z)) (* 4 (/ x z)))
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(- (* -4 (/ y z)) 2)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(- (+ (* -4 (/ y z)) (* 4 (/ x z))) 2)
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(/ x z)
(/.f64 x z)
(* 4 (/ (- (* -1 y) (* 1/2 z)) z))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(+ (* 4 (/ x z)) (* 4 (/ (- (* -1 y) (* 1/2 z)) z)))
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(* -4 (+ y (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z y) #s(literal -4 binary64))
(+ (* -4 (+ y (* 1/2 z))) (* 4 x))
(fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(+ (* -4 y) (* 4 x))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
y
(+ y (* -1 x))
(-.f64 y x)
(* x (+ (* -1 (/ y (* x z))) (/ 1 z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) z) x)
(* 4 (/ x z))
(*.f64 (/.f64 x z) #s(literal 4 binary64))
(* x (+ (* -4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* x (- (+ (* -4 (/ y (* x z))) (* 4 (/ 1 z))) (* 2 (/ 1 x))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* -4 (/ (+ y (* 1/2 z)) x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* x (+ 4 (* -4 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(* -1 (* x (- (/ y (* x z)) (/ 1 z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) z) x)
(* -1 (* x (- (* 4 (/ (+ 1/2 (/ y z)) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (* -1 (/ (- (* -4 (/ y z)) 2) x)) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) (* x z))) (* 4 (/ 1 z)))))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) z) x)
(* -1 (* x (- (* 4 (/ (+ y (* 1/2 z)) x)) 4)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z y) x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* -1 (* x (- (* 4 (/ y x)) 4)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -4 binary64) #s(literal 4 binary64)) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(fma.f64 (/.f64 y x) x (neg.f64 x))
(+ (* -1 (/ y z)) (/ x z))
(/.f64 (-.f64 x y) z)
(* 4 (/ (- x (* 1/2 z)) z))
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
(+ (* -4 (/ y z)) (* 4 (/ (- x (* 1/2 z)) z)))
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(- (* 4 (/ x z)) 2)
(fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* 4 (- x (* 1/2 z)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) z x) #s(literal 4 binary64))
(+ (* -4 y) (* 4 (- x (* 1/2 z))))
(fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(- y x)
(-.f64 y x)
(/ y z)
(/.f64 y z)
(* y (- (/ x (* y z)) (/ 1 z)))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) z) y)
(* -4 (/ y z))
(*.f64 #s(literal -4 binary64) (/.f64 y z))
(* y (- (* 4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* y (- (* 4 (/ x (* y z))) (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* y (- (+ (* 4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) (pow y 2))) (* 4 (/ (- (/ x z) 1/2) y))) (* 4 (/ 1 z))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* 4 (/ 1 z)) (* 2 (/ 1 y)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* y (- (* 4 (/ (- x (* 1/2 z)) y)) 4))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* y (- (* 4 (/ x y)) 4))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* y (+ 1 (* -1 (/ x y))))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) z) y)
(* -1 (* y (+ (* -4 (/ (- (/ x z) 1/2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (- (* 4 (/ x z)) 2) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* -1 (/ (+ (* -4 (/ (+ (* -1 (/ (pow x 2) z)) (/ (pow x 2) z)) y)) (* 4 (- (/ x z) 1/2))) y)) (* 4 (/ 1 z)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) z) y #s(literal -2 binary64))
(* -1 (* y (+ (* 2 (/ 1 y)) (* 4 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(* -1 (* y (+ 4 (* -4 (/ (- x (* 1/2 z)) y)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) z x) y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* -1 (* y (+ 4 (* -4 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -4 binary64)) y)
(* -1 (* y (- (/ x y) 1)))
(fma.f64 (/.f64 (neg.f64 x) y) y y)
(/ (- x y) z)
(/.f64 (-.f64 x y) z)
(* 4 (/ (- x y) z))
(*.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64))
(/ (+ (* -2 z) (* 4 (- x y))) z)
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z))
(*.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z))
(/ (+ (* -2 z) (* 4 (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))))) z)
(fma.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(/ (+ (* -4 y) (* -2 z)) z)
(fma.f64 #s(literal -4 binary64) (/.f64 y z) #s(literal -2 binary64))
(/ -4 z)
(/.f64 #s(literal -4 binary64) z)
(* 4 (- x y))
(*.f64 (-.f64 x y) #s(literal 4 binary64))
(+ (* -2 z) (* 4 (- x y)))
(fma.f64 #s(literal -2 binary64) z (*.f64 (-.f64 x y) #s(literal 4 binary64)))
(- (* 4 (/ (- x y) z)) 2)
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(- (* 4 (/ (+ (* -1 (/ (pow y 2) (+ x y))) (/ (pow x 2) (+ x y))) z)) 2)
(fma.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (+.f64 y x)) (/.f64 #s(literal 4 binary64) z) #s(literal -2 binary64))
(* -2 z)
(*.f64 #s(literal -2 binary64) z)
(* z (- (* 4 (/ (- x y) z)) 2))
(*.f64 (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)) z)
(* -1 (/ (- (* -1 x) (* -1 y)) z))
(/.f64 (-.f64 x y) z)
(- (* -4 (/ (- (* -1 x) (* -1 y)) z)) 2)
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64))
(* -1 (* z (+ 2 (* -4 (/ (- x y) z)))))
(*.f64 (fma.f64 (/.f64 (-.f64 y x) z) #s(literal -4 binary64) #s(literal -2 binary64)) z)

rewrite208.0ms (3.8%)

Memory
7.8MiB live, 291.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036152
049146
1237137
22181137
08221131
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 335
Calls
Call 1
Inputs
(-.f64 (/.f64 x z) (/.f64 y z))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64))
(/.f64 x z)
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))
(/.f64 #s(literal -4 binary64) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) y)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
#s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64)))
(*.f64 (-.f64 y x) #s(literal -4 binary64))
(-.f64 y x)
(/.f64 y z)
Outputs
(*.f64 (*.f64 (/.f64 (+.f64 y x) z) (/.f64 (-.f64 x y) z)) (pow.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 x y))
(*.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y z) (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 z x (*.f64 (neg.f64 z) y)) (pow.f64 z #s(literal -2 binary64)))
(*.f64 (-.f64 x y) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (*.f64 z (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 y x) z) (*.f64 (/.f64 (+.f64 y x) z) (/.f64 (-.f64 x y) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 y z) (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 z z) (fma.f64 z x (*.f64 (neg.f64 z) y))) #s(literal -1 binary64))
(pow.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 z x (*.f64 (neg.f64 z) y)) z)) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 y x) z) (/.f64 (-.f64 x y) z)))) (neg.f64 (neg.f64 (/.f64 (+.f64 y x) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z x (*.f64 (neg.f64 z) y)))) (neg.f64 (neg.f64 (*.f64 z z))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 z y)) (*.f64 (/.f64 z x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 z x) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 z x) (neg.f64 y)))) (neg.f64 (*.f64 (/.f64 z x) (neg.f64 z))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z x) y))) (neg.f64 (*.f64 (/.f64 z x) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 z y)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 z) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 (neg.f64 z) (neg.f64 y)))) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) z) (*.f64 (neg.f64 z) y))) (neg.f64 (*.f64 (neg.f64 z) z)))
(/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) (*.f64 z #s(literal 1 binary64)))) (neg.f64 (*.f64 z (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (neg.f64 z)) (*.f64 z (neg.f64 y)))) (neg.f64 (*.f64 z (neg.f64 z))))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 y))) (neg.f64 (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (+.f64 y x) z)) (*.f64 (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 y x) z) (/.f64 (+.f64 y x) z)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 y z) (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 y z) (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 y z) (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (fma.f64 (/.f64 y z) (/.f64 (+.f64 y x) z) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 z x) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 y z))) (*.f64 (*.f64 z z) (*.f64 z z)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 z))) (*.f64 z (neg.f64 (neg.f64 y)))) (*.f64 z (neg.f64 (neg.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 z (*.f64 y #s(literal 1 binary64)))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 z y))) (*.f64 z #s(literal -1 binary64))) (*.f64 z (neg.f64 (/.f64 z y))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 (/.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z y)) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z y)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 z)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) z) (*.f64 y z)) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y)))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) z) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 z)) z))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 z y))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 (/.f64 z y))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 (/.f64 z y) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 z y)) (*.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 z)) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 z)) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 z)) (neg.f64 z)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) z) (*.f64 (neg.f64 (neg.f64 z)) y)) (*.f64 (neg.f64 (neg.f64 z)) z))
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(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y (neg.f64 x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(fma.f64 #s(literal -1 binary64) x y)
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x))))
(-.f64 y x)
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 y)))) (*.f64 z z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z y)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 z y))) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (neg.f64 (/.f64 z y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) (neg.f64 (neg.f64 z))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) z))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) y)) (*.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 y #s(literal 1 binary64)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 y z)
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))

eval76.0ms (1.4%)

Memory
-8.3MiB live, 147.2MiB allocated
Compiler

Compiled 11 164 to 1 591 computations (85.7% saved)

prune11.0ms (0.2%)

Memory
33.8MiB live, 33.8MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3800380
Fresh000
Picked044
Done044
Total3808388
Accuracy
100.0%
Counts
388 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.9%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
✓36.5%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
✓34.2%
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
✓68.3%
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
✓100.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
✓70.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
✓98.0%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
✓36.2%
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Compiler

Compiled 342 to 182 computations (46.8% saved)

regimes279.0ms (5.1%)

Memory
-32.5MiB live, 43.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (-.f64 (/.f64 x z) (/.f64 y z)) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 y x)) (*.f64 z #s(literal 1/2 binary64)))) z)
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
Calls

5 calls:

259.0ms
(-.f64 x y)
4.0ms
z
4.0ms
x
4.0ms
y
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
100.0%1(-.f64 x y)
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes17.0ms (0.3%)

Memory
-6.0MiB live, 40.7MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)
Calls

5 calls:

3.0ms
z
3.0ms
(-.f64 x y)
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
91.4%4x
88.7%3y
85.8%3z
99.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
86.2%4(-.f64 x y)
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes6.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (/ (+ (* (neg y) y) (* x x)) (+ y x)) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
89.6%3x
75.4%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes7.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64)))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
Calls

3 calls:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
68.3%1z
71.6%3y
84.7%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes10.0ms (0.2%)

Memory
-16.0MiB live, 23.7MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(-.f64 x y)
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
55.6%3z
62.4%6y
72.4%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
57.8%4(-.f64 x y)
59.1%3x
Compiler

Compiled 17 to 23 computations (-35.3% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
Outputs
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
(/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)
Calls

1 calls:

1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Results
AccuracySegmentsBranch
67.2%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 11 to 10 computations (9.1% saved)

regimes7.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
1.0ms
y
1.0ms
(-.f64 x y)
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
36.2%1z
36.2%1(-.f64 x y)
36.2%1y
36.2%1x
36.2%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z)
Compiler

Compiled 17 to 23 computations (-35.3% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.9640720797146858
3781.636964037927
0.0ms
-818967069225.6289
-566893.0174595434
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch21.0ms (0.4%)

Memory
-5.9MiB live, 32.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
5.457511721361513e-24
6.2104926186462795e-24
16.0ms
-4.927913891934567e+41
-1.1661479461645187e+35
Samples
10.0ms176×0valid
Compiler

Compiled 410 to 368 computations (10.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 2.0ms (36.3% of total)
ival-mult: 2.0ms (36.3% of total)
ival-div: 1.0ms (18.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.5%)

Memory
11.8MiB live, 49.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.44722120560994e+132
8.68522240968323e+141
9.0ms
-6.966781671127236e+68
-8.496644628196667e+67
Samples
16.0ms240×0valid
Compiler

Compiled 509 to 466 computations (8.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.8% of total)
ival-sub: 2.0ms (27.2% of total)
ival-div: 2.0ms (27.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
-1.9640720797146858
3781.636964037927
0.0ms
-566893.0174595434
-2.248009638443911
0.0ms
-1.6015269538581135e+213
-1.5678538314539316e+213
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
-1.9640720797146858
3781.636964037927
0.0ms
-566893.0174595434
-2.248009638443911
Compiler

Compiled 14 to 16 computations (-14.3% saved)

simplify91.0ms (1.7%)

Memory
-11.4MiB live, 68.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064402
178402
298402
3128402
4208402
5303402
6425402
7559402
8685402
9764402
10792402
11800402
12801402
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)))
(if (<=.f64 x #s(literal -105000000000000000469670204350622859264 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 1973637728141443/340282366920938463463374607431768211456 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -680000000000000030165182478616269156308356759180770134518143878430720 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 1349999999999999924261490029385400787632225466445423632610303758890415112687703714844287352314316456844822903932426126261677965623427072 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1599999999999999855350416716280601496026510699849222377390284679444359216447252816584546267815775808473112848616170661098893844477486195890595666989492442452902278498717790944614616778730641242951308477386830381056 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))
Outputs
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 (-.f64 x y) z) #s(literal 4 binary64) #s(literal -2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 (-.f64 y x) #s(literal -4 binary64))) z)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -500000000000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) (-.f64 y x))) z) (if (<=.f64 (/.f64 (*.f64 (-.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) (-.f64 y x))) z)))
(if (<=.f64 x #s(literal -105000000000000000469670204350622859264 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 1973637728141443/340282366920938463463374607431768211456 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -680000000000000030165182478616269156308356759180770134518143878430720 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 x #s(literal 1349999999999999924261490029385400787632225466445423632610303758890415112687703714844287352314316456844822903932426126261677965623427072 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z)))
(if (<=.f64 x #s(literal -680000000000000030165182478616269156308356759180770134518143878430720 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) (if (<=.f64 x #s(literal 1349999999999999924261490029385400787632225466445423632610303758890415112687703714844287352314316456844822903932426126261677965623427072 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) (fma.f64 (/.f64 #s(literal -4 binary64) z) y #s(literal -2 binary64))) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1599999999999999855350416716280601496026510699849222377390284679444359216447252816584546267815775808473112848616170661098893844477486195890595666989492442452902278498717790944614616778730641242951308477386830381056 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal 4 binary64) x)) z))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1599999999999999855350416716280601496026510699849222377390284679444359216447252816584546267815775808473112848616170661098893844477486195890595666989492442452902278498717790944614616778730641242951308477386830381056 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z) (if (<=.f64 (/.f64 (*.f64 (-.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -500000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 (-.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 x #s(literal 4 binary64))) z))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -500000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (-.f64 x y) (*.f64 z #s(literal 1/2 binary64)))) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -500000 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z) (if (<=.f64 (/.f64 (*.f64 (-.f64 (-.f64 x y) (*.f64 #s(literal 1/2 binary64) z)) #s(literal 4 binary64)) z) #s(literal -1 binary64)) #s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64)) (/.f64 #s(approx (* 4 (- (- x y) (* z 1/2))) (*.f64 #s(literal -4 binary64) y)) z)))
#s(approx (/ (* 4 (- (- x y) (* z 1/2))) z) #s(literal -2 binary64))

soundness543.0ms (9.9%)

Memory
-20.1MiB live, 267.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127384
1434333
21507313
35323313
08271282
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 456 to 140 computations (69.3% saved)

preprocess105.0ms (1.9%)

Memory
32.7MiB live, 108.2MiB allocated
Compiler

Compiled 852 to 174 computations (79.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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