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

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze41.0ms (0.6%)

Memory
1.3MiB live, 85.1MiB allocated
Algorithm
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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%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
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample2.0s (27.1%)

Memory
36.3MiB live, 1 492.1MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 409.0ms (35.5% of total)
ival-div: 327.0ms (28.4% of total)
ival-sub: 321.0ms (27.8% of total)
ival-add: 76.0ms (6.6% of total)
exact: 10.0ms (0.9% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain176.0ms (2.3%)

Memory
-39.1MiB live, 170.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
00-0-#s(literal 1 binary64)
00-0-(*.f64 y #s(literal 1/4 binary64))
00-0-#s(literal 1/4 binary64)
00-0-z
00-0-#s(literal 4 binary64)
00-0-(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
00-0-y
00-0-(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
00-0-(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
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
48.0ms512×0valid
Compiler

Compiled 125 to 40 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 12.0ms (40.6% of total)
ival-sub: 7.0ms (23.7% of total)
ival-add: 5.0ms (16.9% of total)
ival-div: 3.0ms (10.1% of total)
exact: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess197.0ms (2.6%)

Memory
14.4MiB live, 257.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046130
1124117
2374117
31078101
4327485
5748685
01213
01813
13013
25813
311013
421111
54749
615049
748319
082118
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify115.0ms (1.5%)

Memory
20.4MiB live, 131.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
cost-diff1
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
cost-diff2
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
cost-diff2
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
01854
13054
25854
311054
421148
547446
6150446
7483146
0821141
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
x
(*.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
z
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(fma.f64 #s(literal -4 binary64) (-.f64 z x) y)
#s(literal 4 binary64)
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) y x)
x
(*.f64 y #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) y)
y
#s(literal 1/4 binary64)
z

localize46.0ms (0.6%)

Memory
-26.3MiB live, 57.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 1/4 binary64))
accuracy0.0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy0.015625
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Samples
36.0ms256×0valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-sub: 15.0ms (64.6% of total)
ival-mult: 3.0ms (12.9% of total)
ival-div: 2.0ms (8.6% of total)
ival-add: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
5 → 47
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
(*.f64 y #s(literal 1/4 binary64))
Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(* 1/4 y)
(+ x (* 1/4 y))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
x
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (- x z))
(+ y (* 4 (- x z)))
(/ (+ y (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1/4 (/ x y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
Calls

9 calls:

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

simplify173.0ms (2.3%)

Memory
3.8MiB live, 122.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120423
1360410
2979335
33701321
08194283
Stop Event
iter limit
node limit
Counts
47 → 45
Calls
Call 1
Inputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(* 1/4 y)
(+ x (* 1/4 y))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
x
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (- x z))
(+ y (* 4 (- x z)))
(/ (+ y (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1/4 (/ x y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(* 4 (- (* 1/4 y) z))
(fma.f64 #s(literal -4 binary64) z y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 1/4 y)
(*.f64 #s(literal 1/4 binary64) y)
(+ x (* 1/4 y))
(fma.f64 #s(literal 1/4 binary64) y x)
(* 4 (/ (- (* 1/4 y) z) y))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
x
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 #s(literal 1/4 binary64) y x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 #s(literal 1/4 binary64) y x)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (-.f64 x z) #s(literal 4 binary64))) y)
(* 4 (- x z))
(*.f64 (-.f64 x z) #s(literal 4 binary64))
(+ y (* 4 (- x z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* y (+ 1/4 (/ x y)))
(fma.f64 #s(literal 1/4 binary64) y x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 #s(literal 1/4 binary64) y x)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(* 4 (+ x (* 1/4 y)))
(fma.f64 #s(literal 4 binary64) x y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 4 (/ (+ x (* 1/4 y)) y))
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))

rewrite223.0ms (3%)

Memory
-16.9MiB live, 142.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
01841
17441
262941
0852436
Stop Event
iter limit
node limit
iter limit
Counts
5 → 335
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
(*.f64 y #s(literal 1/4 binary64))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64) #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))))
(*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))))
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) y) x)
(+.f64 x (*.f64 #s(literal 1/4 binary64) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)))
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (*.f64 y (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 y (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (*.f64 y (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))))
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))) (pow.f64 y #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) z)))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64))))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) z) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))) (pow.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -4 binary64) z)))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)))))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
(/.f64 (neg.f64 y) #s(literal -4 binary64))
(/.f64 y #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))

eval54.0ms (0.7%)

Memory
19.7MiB live, 56.3MiB allocated
Compiler

Compiled 9 519 to 1 412 computations (85.2% saved)

prune37.0ms (0.5%)

Memory
-16.3MiB live, 21.7MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3517358
Fresh000
Picked101
Done000
Total3527359
Accuracy
100.0%
Counts
359 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
62.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
71.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
68.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
31.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
40.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
32.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 260 to 220 computations (15.4% saved)

simplify166.0ms (2.2%)

Memory
-1.0MiB live, 157.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 4 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
cost-diff0
(/.f64 #s(literal -4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff2
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
cost-diff2
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
cost-diff4
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031171
046161
182157
2150151
3389141
41126141
53488141
66435141
08079135
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(fma.f64 #s(literal 1/4 binary64) y x)
#s(literal 1/4 binary64)
x
z
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(fma.f64 #s(literal 1/4 binary64) y x)
#s(literal 1/4 binary64)
x
z
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(/.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)

localize88.0ms (1.2%)

Memory
3.0MiB live, 124.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
accuracy0.0
(/.f64 z y)
accuracy18.260660828519768
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
accuracy0.0
(/.f64 x y)
accuracy0.01171875
(*.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy43.73434769043675
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy0.0
(/.f64 #s(literal -4 binary64) y)
accuracy0.20703125
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
accuracy37.75322947648948
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
accuracy43.12411070875179
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy0.0
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
accuracy0.1875
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
Samples
71.0ms256×0valid
Compiler

Compiled 158 to 31 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 22.0ms (49.7% of total)
ival-div: 12.0ms (27.1% of total)
ival-add: 8.0ms (18.1% of total)
ival-sub: 2.0ms (4.5% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
2.3MiB live, 39.7MiB allocated
Counts
15 → 65
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(/.f64 #s(literal -4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
Outputs
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(/ x y)
(/ 1 (- (* 1/4 y) z))
(+ (* -1 (/ x (pow (- (* 1/4 y) z) 2))) (/ 1 (- (* 1/4 y) z)))
(+ (* x (- (/ x (pow (- (* 1/4 y) z) 3)) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 1/4 y) z) 4))) (/ 1 (pow (- (* 1/4 y) z) 3)))) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(/ 1 x)
(/ (- (+ 1 (/ z x)) (* 1/4 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2))) (/ z x))) (* 1/4 (/ y x))) x)
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) (pow x 3)))) (+ (* 1/4 (/ y x)) (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2)))) x)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (/ (- (* -1 (/ (- z (* 1/4 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) x))) (* 1/4 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) x)) (* -1 (* (- z (* 1/4 y)) (- (* 1/4 y) z)))) x))) (* 1/4 y)) x)) 1) x))
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ 4 y)
(* -4 (/ z y))
(/ -4 y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ z y)
(/ 1 (- x z))
(+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))
(+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
(+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
1
(+ 1 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* -4 (/ z y)))
(/ (+ 4 (* -16 (/ (- x z) y))) y)
(/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y)
(/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y)
(* -1 (/ (- (* 16 (/ (- x z) y)) 4) y))
(* -1 (/ (- (* -1 (/ (- (* 64 (/ (pow (- x z) 2) y)) (* 16 (- x z))) y)) 4) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256 (/ (pow (- x z) 3) y)) (* 64 (pow (- x z) 2))) y)) (* 16 (- x z))) y)) 4) y))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(/ 1 (+ x (* 1/4 y)))
(+ (/ 1 (+ x (* 1/4 y))) (/ z (pow (+ x (* 1/4 y)) 2)))
(+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 2)) (/ z (pow (+ x (* 1/4 y)) 3)))) (/ 1 (+ x (* 1/4 y))))
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 3)) (/ z (pow (+ x (* 1/4 y)) 4)))) (/ 1 (pow (+ x (* 1/4 y)) 2)))) (/ 1 (+ x (* 1/4 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(/ -1 z)
(/ (- (* -1 (/ (+ x (* 1/4 y)) z)) 1) z)
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow z 2))) (+ 1 (+ (* 1/4 (/ y z)) (/ x z)))) z)
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 3) (pow z 3))) (+ 1 (+ (* 1/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 1/4 y)) 2) (pow z 2)))))) z)
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (/ (+ 1 (+ (* 1/4 (/ y z)) (/ x z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) z)) (+ x (* 1/4 y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 1/4 y)) 3) z) (* -1 (pow (+ x (* 1/4 y)) 2))) z)) (+ x (* 1/4 y))) z))) z))
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z)))
2.0ms
y
@0
((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z)))
2.0ms
y
@inf
((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z)))
2.0ms
x
@inf
((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z)))
2.0ms
x
@-inf
((/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z))) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (* 1 (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (/ z y) (/ 1 (- (+ (* 1/4 y) x) z)))

simplify163.0ms (2.2%)

Memory
32.0MiB live, 223.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981080
18671059
22498976
08300903
Stop Event
iter limit
node limit
Counts
65 → 65
Calls
Call 1
Inputs
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(/ x y)
(/ 1 (- (* 1/4 y) z))
(+ (* -1 (/ x (pow (- (* 1/4 y) z) 2))) (/ 1 (- (* 1/4 y) z)))
(+ (* x (- (/ x (pow (- (* 1/4 y) z) 3)) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 1/4 y) z) 4))) (/ 1 (pow (- (* 1/4 y) z) 3)))) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(/ 1 x)
(/ (- (+ 1 (/ z x)) (* 1/4 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2))) (/ z x))) (* 1/4 (/ y x))) x)
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) (pow x 3)))) (+ (* 1/4 (/ y x)) (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2)))) x)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (/ (- (* -1 (/ (- z (* 1/4 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) x))) (* 1/4 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) x)) (* -1 (* (- z (* 1/4 y)) (- (* 1/4 y) z)))) x))) (* 1/4 y)) x)) 1) x))
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ 4 y)
(* -4 (/ z y))
(/ -4 y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ z y)
(/ 1 (- x z))
(+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))
(+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
(+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
1
(+ 1 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* -4 (/ z y)))
(/ (+ 4 (* -16 (/ (- x z) y))) y)
(/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y)
(/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y)
(* -1 (/ (- (* 16 (/ (- x z) y)) 4) y))
(* -1 (/ (- (* -1 (/ (- (* 64 (/ (pow (- x z) 2) y)) (* 16 (- x z))) y)) 4) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256 (/ (pow (- x z) 3) y)) (* 64 (pow (- x z) 2))) y)) (* 16 (- x z))) y)) 4) y))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(/ 1 (+ x (* 1/4 y)))
(+ (/ 1 (+ x (* 1/4 y))) (/ z (pow (+ x (* 1/4 y)) 2)))
(+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 2)) (/ z (pow (+ x (* 1/4 y)) 3)))) (/ 1 (+ x (* 1/4 y))))
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 3)) (/ z (pow (+ x (* 1/4 y)) 4)))) (/ 1 (pow (+ x (* 1/4 y)) 2)))) (/ 1 (+ x (* 1/4 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(/ -1 z)
(/ (- (* -1 (/ (+ x (* 1/4 y)) z)) 1) z)
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow z 2))) (+ 1 (+ (* 1/4 (/ y z)) (/ x z)))) z)
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 3) (pow z 3))) (+ 1 (+ (* 1/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 1/4 y)) 2) (pow z 2)))))) z)
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (/ (+ 1 (+ (* 1/4 (/ y z)) (/ x z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) z)) (+ x (* 1/4 y))) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 1/4 y)) 3) z) (* -1 (pow (+ x (* 1/4 y)) 2))) z)) (+ x (* 1/4 y))) z))) z))
Outputs
(* 4 (/ (- (* 1/4 y) z) y))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64) #s(literal 1 binary64))
(* 4 (/ x y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/ x y)
(/.f64 x y)
(/ 1 (- (* 1/4 y) z))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z))
(+ (* -1 (/ x (pow (- (* 1/4 y) z) 2))) (/ 1 (- (* 1/4 y) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) (/.f64 x (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64))))
(+ (* x (- (/ x (pow (- (* 1/4 y) z) 3)) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))
(fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (* 1/4 y) z) 4))) (/ 1 (pow (- (* 1/4 y) z) 3)))) (/ 1 (pow (- (* 1/4 y) z) 2)))) (/ 1 (- (* 1/4 y) z)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64))) (/.f64 x (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (/ z x)) (* 1/4 (/ y x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (+ (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2))) (/ z x))) (* 1/4 (/ y x))) x)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) x) z)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (+ (/ z x) (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) (pow x 3)))) (+ (* 1/4 (/ y x)) (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) x) z)) x) #s(literal 1 binary64)) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x) (/.f64 #s(literal 4 binary64) y)) x)
(* -1 (/ (- (* -1 (/ (- z (* 1/4 y)) x)) 1) x))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y z) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- z (* 1/4 y)) (- (* 1/4 y) z)) x))) (* 1/4 y)) x)) 1) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) x) z)) x) #s(literal 1 binary64) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (- z (* 1/4 y)) (pow (- (* 1/4 y) z) 2)) x)) (* -1 (* (- z (* 1/4 y)) (- (* 1/4 y) z)))) x))) (* 1/4 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y (-.f64 z (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) x) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64))) x))) x)) (neg.f64 x))
(* 4 (/ (- x z) y))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal 2 binary64) y)) y)
(/ z y)
(/.f64 z y)
(/ 1 (- x z))
(/.f64 #s(literal 1 binary64) (-.f64 x z))
(+ (* -1/4 (/ y (pow (- x z) 2))) (/ 1 (- x z)))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64))) y (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(+ (* y (- (* 1/16 (/ y (pow (- x z) 3))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 x z) #s(literal 3 binary64))) y (/.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(+ (* y (- (* y (+ (* -1/64 (/ y (pow (- x z) 4))) (* 1/16 (/ 1 (pow (- x z) 3))))) (* 1/4 (/ 1 (pow (- x z) 2))))) (/ 1 (- x z)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 x z) #s(literal 4 binary64))) #s(literal -1/64 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 x z) #s(literal 3 binary64)))) y (/.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 x z)))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/ (+ 4 (* -16 (/ (- x z) y))) y)
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) y)
(/ (- (+ 4 (* 64 (/ (pow (- x z) 2) (pow y 2)))) (* 16 (/ (- x z) y))) y)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (*.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 64 binary64))) y) #s(literal 4 binary64)) y)
(/ (- (+ 4 (* -256 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -64 (/ (pow (- x z) 2) (pow y 2))) (* 16 (/ (- x z) y)))) y)
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal -256 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (*.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 64 binary64))) y) #s(literal 4 binary64))) y)
(* -1 (/ (- (* 16 (/ (- x z) y)) 4) y))
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* 64 (/ (pow (- x z) 2) y)) (* 16 (- x z))) y)) 4) y))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (*.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 2 binary64)) y) #s(literal 64 binary64))) y) #s(literal 1 binary64) #s(literal 4 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 256 (/ (pow (- x z) 3) y)) (* 64 (pow (- x z) 2))) y)) (* 16 (- x z))) y)) 4) y))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (-.f64 x z) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) y) #s(literal -256 binary64) (*.f64 #s(literal 64 binary64) (pow.f64 (-.f64 x z) #s(literal 2 binary64)))) y)) y) #s(literal 4 binary64)) y)
(* 4 (/ (+ x (* 1/4 y)) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 4 binary64) #s(literal 1 binary64)))
(/ 1 (+ x (* 1/4 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x))
(+ (/ 1 (+ x (* 1/4 y))) (/ z (pow (+ x (* 1/4 y)) 2)))
(+.f64 (/.f64 z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))
(+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 2)) (/ z (pow (+ x (* 1/4 y)) 3)))) (/ 1 (+ x (* 1/4 y))))
(fma.f64 (+.f64 (/.f64 z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))
(+ (* z (+ (* z (+ (/ 1 (pow (+ x (* 1/4 y)) 3)) (/ z (pow (+ x (* 1/4 y)) 4)))) (/ 1 (pow (+ x (* 1/4 y)) 2)))) (/ 1 (+ x (* 1/4 y))))
(fma.f64 (fma.f64 (+.f64 (/.f64 z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)))) z (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) y x)))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 #s(literal -4 binary64) y)) z)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 (-.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) z) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 4 binary64) y)) z)
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 4 binary64) y)) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- (* -1 (/ (+ x (* 1/4 y)) z)) 1) z)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) z)
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow z 2))) (+ 1 (+ (* 1/4 (/ y z)) (/ x z)))) z)
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) z) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal 1 binary64))) z)
(/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 3) (pow z 3))) (+ 1 (+ (* 1/4 (/ y z)) (+ (/ x z) (/ (pow (+ x (* 1/4 y)) 2) (pow z 2)))))) z)
(/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) z) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 3 binary64))) z)
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) (/.f64 #s(literal -4 binary64) y)) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(*.f64 (neg.f64 z) (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) z)))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 #s(literal 4 binary64) y)) z)
(* -1 (/ (+ 1 (+ (* 1/4 (/ y z)) (/ x z))) z))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) (/.f64 x z))) z)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ x (* 1/4 y)) 2) z)) (+ x (* 1/4 y))) z))) z))
(/.f64 (neg.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) z) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal 1 binary64))) z)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ x (* 1/4 y)) 3) z) (* -1 (pow (+ x (* 1/4 y)) 2))) z)) (+ x (* 1/4 y))) z))) z))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64))) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) y x)) z) #s(literal -1 binary64)) z)

rewrite317.0ms (4.2%)

Memory
-6.4MiB live, 235.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031144
046134
1211130
21546124
08218124
Stop Event
iter limit
node limit
iter limit
Counts
15 → 335
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(/.f64 #s(literal -4 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y))
(*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64))))
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z))))
(pow.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) y) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))))
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(/.f64 (*.f64 z #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z)))
(/.f64 z y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(neg.f64 (/.f64 (neg.f64 z) y))
(neg.f64 (/.f64 z (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal -1 binary64)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)))

eval183.0ms (2.4%)

Memory
-32.0MiB live, 88.3MiB allocated
Compiler

Compiled 8 359 to 1 262 computations (84.9% saved)

prune9.0ms (0.1%)

Memory
22.4MiB live, 22.4MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3632365
Fresh022
Picked235
Done000
Total3657372
Accuracy
100.0%
Counts
372 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
71.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
41.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
68.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
31.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
32.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
96.8%
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
Compiler

Compiled 146 to 120 computations (17.8% saved)

simplify130.0ms (1.7%)

Memory
4.6MiB live, 114.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal -4 binary64) z)
cost-diff0
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
cost-diff6
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037173
051169
196167
2193151
3470143
41290143
54153143
67412143
08375137
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
x
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal 2 binary64)
Outputs
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal -4 binary64) z y) y)
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))
(/.f64 (fma.f64 x #s(literal 4 binary64) y) y)
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
x
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(literal 2 binary64)

localize142.0ms (1.9%)

Memory
5.0MiB live, 125.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 4 binary64) y)
accuracy0.109375
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy24.04608125834669
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
accuracy0.0
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy0.0
(*.f64 #s(literal -4 binary64) z)
accuracy37.75322947648948
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
accuracy0.0
(-.f64 x z)
accuracy0.00390625
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy0.0078125
(/.f64 (-.f64 x z) y)
accuracy19.93775998664761
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
accuracy0.0
(/.f64 #s(literal 4 binary64) y)
accuracy0.0
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
accuracy0.109375
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))
accuracy1.8007729933208234
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
Samples
117.0ms256×0valid
Compiler

Compiled 145 to 37 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-sub: 36.0ms (48.6% of total)
ival-mult: 17.0ms (22.9% of total)
ival-div: 12.0ms (16.2% of total)
ival-add: 9.0ms (12.1% of total)
exact: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-8.6MiB live, 27.6MiB allocated
Counts
15 → 60
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))
Outputs
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
2
(+ 2 (* 4 (/ x y)))
1
(+ 1 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z x) 1)))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(/ (+ (* -4 z) (* 4 x)) y)
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ y (* -4 z)) y)
(/ z y)
(/ (- x z) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ 4 y)
(/ (+ y (* 4 x)) y)
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* -4 (/ z y)))
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ x (* -1 z))
(* -4 z)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (/ 1 z) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (- (* 4 (/ 1 y)) (/ 1 z))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1))
2.0ms
z
@inf
((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1))
2.0ms
z
@-inf
((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1))
2.0ms
y
@inf
((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1))
2.0ms
y
@0
((+ (* (+ (* -4 (/ z y)) 1) 1) (+ (* (/ 4 y) x) 1)) (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (+ (* -4 (/ z y)) 1) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* -4 z) y) (* -4 z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (+ (* (/ 4 y) x) 1))

simplify492.0ms (6.5%)

Memory
-127.1MiB live, 254.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166486
1464468
21337386
33723386
47437386
08074355
Stop Event
iter limit
node limit
Counts
60 → 59
Calls
Call 1
Inputs
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
2
(+ 2 (* 4 (/ x y)))
1
(+ 1 (* 4 (/ x y)))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z x) 1)))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(/ (+ (* -4 z) (* 4 x)) y)
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ y (* -4 z)) y)
(/ z y)
(/ (- x z) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/ 4 y)
(/ (+ y (* 4 x)) y)
(+ 2 (* 4 (/ (- x z) y)))
(+ 1 (* -4 (/ z y)))
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ x (* -1 z))
(* -4 z)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (/ 1 z) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (- (* 4 (/ 1 y)) (/ 1 z))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ x y)))
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(* x (+ (/ 1 x) (* 4 (/ 1 y))))
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(* x (+ (* 4 (/ 1 y)) (/ 1 x)))
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
(/ (+ (* -4 z) (* 4 x)) y)
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* -4 z) (+ (* 2 y) (* 4 x))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(* 4 (/ (- x z) y))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ y (* -4 z)) y)
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))
(/ z y)
(/.f64 z y)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 4 binary64) x)) y)
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(/ (+ y (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (* -4 (/ z y)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))
(+ 2 (* -1 (/ (+ (* -4 x) (* 4 z)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ x (* -1 z))
(-.f64 x z)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) (*.f64 (/.f64 #s(literal 2 binary64) z) z))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1/4 binary64)) z) #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) y)) z #s(literal 1 binary64))
(* z (- (/ 1 z) (* 4 (/ 1 y))))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (* z (- (* 4 (/ 1 y)) (/ 1 z))))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

rewrite182.0ms (2.4%)

Memory
17.7MiB live, 204.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037153
051149
1267147
22263139
08465139
Stop Event
iter limit
node limit
iter limit
Counts
15 → 417
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64))
(/.f64 z y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
(/.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(/.f64 #s(literal 4 binary64) y)
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))) (-.f64 (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z y) #s(literal -4 binary64))))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y z) #s(literal -3 binary64)) #s(literal -64 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 y z) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 (/.f64 z y) #s(literal -4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))))
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(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(fma.f64 (/.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(*.f64 #s(literal -4 binary64) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -4 binary64) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 4 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) y))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) y))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal -4 binary64) (neg.f64 y))
(neg.f64 (/.f64 #s(literal -4 binary64) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x)))))
(/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 4 binary64) y) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) x))

eval100.0ms (1.3%)

Memory
-28.7MiB live, 143.3MiB allocated
Compiler

Compiled 16 914 to 1 761 computations (89.6% saved)

prune28.0ms (0.4%)

Memory
-7.6MiB live, 31.8MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4731474
Fresh000
Picked134
Done033
Total4747481
Accuracy
100.0%
Counts
481 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
71.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
41.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
68.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
31.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
65.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
32.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 137 to 115 computations (16.1% saved)

simplify307.0ms (4.1%)

Memory
18.7MiB live, 135.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
cost-diff2
(-.f64 (/.f64 x y) (/.f64 z y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01749
02149
13649
27549
314849
428542
560239
6177839
7513639
0827838
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
(-.f64 (/.f64 x y) (/.f64 z y))
(/.f64 x y)
x
y
(/.f64 z y)
z
#s(literal 4 binary64)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64)))
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(-.f64 (/.f64 x y) (/.f64 z y))
(/.f64 (-.f64 x z) y)
(/.f64 x y)
x
y
(/.f64 z y)
z
#s(literal 4 binary64)

localize32.0ms (0.4%)

Memory
21.8MiB live, 59.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x y)
accuracy0.00390625
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
accuracy1.7968667433208234
(-.f64 (/.f64 x y) (/.f64 z y))
accuracy19.93775998664761
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
Samples
25.0ms256×0valid
Compiler

Compiled 41 to 18 computations (56.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (36.6% of total)
ival-div: 5.0ms (30.5% of total)
ival-sub: 2.0ms (12.2% of total)
ival-add: 2.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series219.0ms (2.9%)

Memory
-22.6MiB live, 26.8MiB allocated
Counts
4 → 30
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) (/.f64 z y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
(/.f64 x y)
Outputs
(* -1 (/ z y))
(- (/ x y) (/ z y))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -4 (/ (- (* -1 x) (* -1 z)) y))
(+ (* -1 (/ z y)) (/ x y))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
Calls

9 calls:

TimeVariablePointExpression
211.0ms
x
@inf
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
1.0ms
y
@-inf
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
1.0ms
x
@-inf
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
1.0ms
x
@0
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))
1.0ms
y
@inf
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y))

simplify324.0ms (4.3%)

Memory
-4.0MiB live, 152.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104277
1310277
2922205
33007203
47322201
08051191
Stop Event
iter limit
node limit
Counts
30 → 30
Calls
Call 1
Inputs
(* -1 (/ z y))
(- (/ x y) (/ z y))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -4 (/ (- (* -1 x) (* -1 z)) y))
(+ (* -1 (/ z y)) (/ x y))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
Outputs
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(- (/ x y) (/ z y))
(/.f64 (-.f64 x z) y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* 4 (/ x y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* 4 (/ (- x z) y))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (-.f64 x z) #s(literal 4 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(/.f64 (-.f64 x z) y)
(* -4 (/ (- (* -1 x) (* -1 z)) y))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))

rewrite174.0ms (2.3%)

Memory
3.7MiB live, 160.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01742
02136
110836
2104136
0817534
Stop Event
iter limit
node limit
iter limit
Counts
4 → 224
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) (/.f64 z y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))
(/.f64 x y)
Outputs
(*.f64 (/.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 x z)))
(*.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 x (neg.f64 z)) y))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 y x (*.f64 (neg.f64 y) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y y))))
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (/.f64 y z))))
(*.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (neg.f64 y))))
(*.f64 (-.f64 (/.f64 y z) (/.f64 y x)) (*.f64 (*.f64 x z) (pow.f64 y #s(literal -2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y)))
(*.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))))
(*.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y z))))
(*.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 x (neg.f64 z)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (fma.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 y y) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 y y) (/.f64 z y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (*.f64 (/.f64 y y) (/.f64 x y)) (fma.f64 (*.f64 (/.f64 y y) (/.f64 z y)) (*.f64 (/.f64 y y) (/.f64 z y)) (*.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (*.f64 (/.f64 y y) (/.f64 z y))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 z) y) (/.f64 x y)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 x (neg.f64 z)) y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z)))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 y) (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z))) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z)))) (neg.f64 (*.f64 (/.f64 y x) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (/.f64 y z) (/.f64 y x))) (neg.f64 (*.f64 (/.f64 y x) (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (neg.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z)))) (neg.f64 (*.f64 y (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (neg.f64 z))) (neg.f64 (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y)) (*.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (/.f64 (-.f64 x (neg.f64 z)) y)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 z y))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 y)) y))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (/.f64 y z))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 y z))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 y z)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y))
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(/.f64 (neg.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 x (neg.f64 z)) y)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z))) (neg.f64 y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64)) (/.f64 (-.f64 x (neg.f64 z)) y))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y)
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (/.f64 (-.f64 x (neg.f64 z)) y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 x z)) y)
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 x z) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x (neg.f64 z)) y) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 z y) (/.f64 (-.f64 x (neg.f64 z)) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 4 binary64) (-.f64 x z))))
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (/.f64 (neg.f64 z) y) #s(literal 4 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 z) y)))
(*.f64 (neg.f64 (neg.f64 x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x (*.f64 y #s(literal 1 binary64)))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))

eval40.0ms (0.5%)

Memory
-2.0MiB live, 35.3MiB allocated
Compiler

Compiled 7 913 to 1 053 computations (86.7% saved)

prune7.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2370237
Fresh000
Picked011
Done066
Total2377244
Accuracy
100.0%
Counts
244 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
71.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
41.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
68.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
31.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
65.7%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
32.6%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 354 to 179 computations (49.4% saved)

regimes23.0ms (0.3%)

Memory
2.6MiB live, 39.5MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
#s(approx (+ 1 (/ (* 1 (/ 4 y)) (/ 1 (- (+ (* 1/4 y) x) z)))) (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Calls

5 calls:

6.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
4.0ms
y
4.0ms
x
4.0ms
z
4.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
100.0%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes19.0ms (0.3%)

Memory
-2.0MiB live, 33.8MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
Calls

5 calls:

6.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
3.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
90.0%3x
93.2%3y
89.9%3z
99.3%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
99.3%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes28.0ms (0.4%)

Memory
-20.3MiB live, 26.6MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
Calls

5 calls:

17.0ms
y
3.0ms
x
3.0ms
z
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
88.7%3z
89.4%3x
73.2%2y
71.5%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
71.5%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
71.5%1z
85.3%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes27.0ms (0.4%)

Memory
-12.5MiB live, 23.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))
Calls

5 calls:

18.0ms
z
2.0ms
x
2.0ms
y
2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
62.4%4z
70.6%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
70.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
61.8%3y
58.6%3x
Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
Calls

2 calls:

2.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
70.5%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
70.5%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 24 to 22 computations (8.3% saved)

regimes6.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
1.0ms
z
1.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
1.0ms
y
Results
AccuracySegmentsBranch
32.6%1x
32.6%1z
32.6%1y
32.6%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
32.6%1(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 27 to 31 computations (-14.8% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.02468961702489
167900.14732669934
0.0ms
-352223940099894700.0
0.9999566709947367
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch36.0ms (0.5%)

Memory
-7.4MiB live, 65.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
4.2337094164953325e+111
2.6851593439581593e+126
13.0ms
-8.1709632444117e+132
-6.316312541689693e+131
Samples
19.0ms256×0valid
Compiler

Compiled 656 to 594 computations (9.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 3.0ms (32.7% of total)
ival-mult: 3.0ms (32.7% of total)
ival-div: 2.0ms (21.8% of total)
ival-sub: 1.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.5%)

Memory
-10.6MiB live, 70.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
5.501074088824003e+142
5.482638579535327e+146
11.0ms
-8.219853437348852e+153
-7.840541894784182e+151
Samples
21.0ms240×0valid
Compiler

Compiled 601 to 543 computations (9.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 9.0ms (59.7% of total)
ival-mult: 3.0ms (19.9% of total)
ival-div: 2.0ms (13.3% of total)
ival-sub: 1.0ms (6.6% 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
4.3MiB live, 4.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.02468961702489
167900.14732669934
0.0ms
-352223940099894700.0
0.9999566709947367
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.02468961702489
167900.14732669934
0.0ms
-352223940099894700.0
0.9999566709947367
Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify194.0ms (2.6%)

Memory
11.5MiB live, 89.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
061321
187321
2118321
3166321
4274321
5538321
61114299
74280299
87833299
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -101999999999999999135488896032022544062443953263099318425760851666695301867010514234541355568951442489482186217795300896081619707182524103021706541531136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 350000000000000008310901325527886875093030274740038765615712746034583100339707200398862169875629152945271089196844040626527694609461528550703104 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))))
(if (or (<=.f64 x #s(literal -659999999999999965578070024154417499192252968885038102252088594766540039176524508835768660953125796225665783578908527217720892063744 binary64)) (not (<=.f64 x #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696000 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -101999999999999999135488896032022544062443953263099318425760851666695301867010514234541355568951442489482186217795300896081619707182524103021706541531136 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 350000000000000008310901325527886875093030274740038765615712746034583100339707200398862169875629152945271089196844040626527694609461528550703104 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))
(if (or (<=.f64 x #s(literal -101999999999999999135488896032022544062443953263099318425760851666695301867010514234541355568951442489482186217795300896081619707182524103021706541531136 binary64)) (not (<=.f64 x #s(literal 350000000000000008310901325527886875093030274740038765615712746034583100339707200398862169875629152945271089196844040626527694609461528550703104 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y))))
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))))
(if (or (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -200000000000000000 binary64)) (not (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness829.0ms (11%)

Memory
-32.4MiB live, 341.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031144
046134
1211130
21546124
08218124
0120423
1360410
2979335
33701321
08194283
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 365 to 130 computations (64.4% saved)

preprocess53.0ms (0.7%)

Memory
6.0MiB live, 42.6MiB allocated
Compiler

Compiled 668 to 154 computations (76.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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