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

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze194.0ms (2.8%)

Memory
-3.2MiB live, 74.9MiB 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)

sample1.5s (21.5%)

Memory
13.0MiB live, 1 255.4MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 602.0ms
ival-mult: 398.0ms (66.1% of total)
ival-add: 77.0ms (12.8% of total)
ival-div: 70.0ms (11.6% of total)
ival-sub: 38.0ms (6.3% of total)
exact: 11.0ms (1.8% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain162.0ms (2.3%)

Memory
-7.9MiB live, 177.0MiB 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
41.0ms512×0valid
Compiler

Compiled 179 to 52 computations (70.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.8% of total)
ival-add: 5.0ms (26.3% of total)
ival-div: 4.0ms (21% of total)
ival-sub: 2.0ms (10.5% of total)
exact: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess178.0ms (2.5%)

Memory
-11.9MiB live, 192.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046130
1124117
2374117
31076101
4322785
5748085
01213
01813
13013
25813
311013
421111
54749
614729
746269
081078
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 (-.f64 x z) y) #s(literal 4 binary64) #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
0.8MiB live, 0.8MiB 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)

simplify128.0ms (1.8%)

Memory
26.5MiB live, 138.0MiB 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-diff128
(+.f64 x (*.f64 y #s(literal 1/4 binary64)))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
cost-diff320
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
01854
13054
25854
311054
421148
547446
6147246
7462646
0810741
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 (-.f64 x z) y) #s(literal 4 binary64) #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 z x) 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

localize77.0ms (1.1%)

Memory
-27.5MiB live, 95.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy0
(*.f64 y #s(literal 1/4 binary64))
accuracy0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
accuracy0.01171875
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Samples
51.0ms256×0valid
Compiler

Compiled 110 to 26 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 35.0ms (83.3% of total)
ival-mult: 3.0ms (7.1% of total)
ival-div: 2.0ms (4.8% of total)
ival-sub: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
5 → 47
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(+.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
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 1/4 y)
(+ x (* 1/4 y))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
x
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (- x z))
(+ y (* 4 (- x z)))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
2
(+ 2 (* 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)))
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
Calls

9 calls:

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

simplify176.0ms (2.5%)

Memory
-18.4MiB live, 174.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120423
1360410
2963335
33620321
08458283
Stop Event
iter limit
node limit
Counts
47 → 45
Calls
Call 1
Inputs
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 1/4 y)
(+ x (* 1/4 y))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
x
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* 4 (- x z))
(+ y (* 4 (- x z)))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
2
(+ 2 (* 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)))
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* 4 (/ (+ x (* 1/4 y)) y))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
Outputs
(* 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 (/ (- (* 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))
(* 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))
(/.f64 (fma.f64 #s(literal -4 binary64) z y) y)
(+ (* 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)
(*.f64 #s(literal 4 binary64) x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
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 (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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 (- (* -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))
(*.f64 (-.f64 x z) #s(literal 4 binary64))
(+ y (* 4 (- x z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 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)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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 (+ 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)
(* 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)
(+ 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)) 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)
(*.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))
(* -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))
(* 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 (+ 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 (+ (* -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 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64))

rewrite200.0ms (2.9%)

Memory
37.2MiB live, 272.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
01841
17441
262941
0848036
Stop Event
iter limit
node limit
iter limit
Counts
5 → 335
Calls
Call 1
Inputs
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
(+.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 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #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 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z (-.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 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))
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(fma.f64 #s(literal 1/4 binary64) y x)
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(*.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))
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(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y)))
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(/.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 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))))
(/.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)))
(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 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y))
(/.f64 y #s(literal 4 binary64))

eval45.0ms (0.6%)

Memory
-37.3MiB live, 81.8MiB allocated
Compiler

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

prune9.0ms (0.1%)

Memory
30.2MiB live, 30.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3508358
Fresh000
Picked101
Done000
Total3518359
Accuracy
100.0%
Counts
359 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(*.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)))))
100.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
69.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
68.1%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
66.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
37.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
34.9%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
35.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 352 to 272 computations (22.7% saved)

simplify148.0ms (2.1%)

Memory
-23.5MiB live, 182.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff128
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))
cost-diff128
(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)))
cost-diff128
(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)))
cost-diff320
(*.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)))))
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 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
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
cost-diff0
(-.f64 x z)
cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039318
063314
1132311
2286309
31136305
46895305
08718294
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)
#s(literal 2 binary64)
#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 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 (/.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)
(*.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)))))
(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)))
(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 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)
(-.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)
y
x
z
#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))))
(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)))
(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 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64))
#s(literal 16 binary64)
#s(literal 4 binary64)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)
#s(literal 2 binary64)
#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 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 x y)
x
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)))
(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)
(*.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 (fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -1 binary64)))
(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)))
(fma.f64 #s(literal -64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 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))
(fma.f64 #s(literal 64 binary64) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)
(/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y)
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))
(fma.f64 #s(literal 1/4 binary64) y x)
#s(literal 1/4 binary64)
y
x
z
#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 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #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)))
(fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #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))
(fma.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64))
(*.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y))
#s(literal 16 binary64)
#s(literal 4 binary64)

localize279.0ms (4%)

Memory
-0.8MiB live, 157.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.1426163086106521
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64))
accuracy0.15691376953688402
(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))
accuracy17.055863363093515
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64))
accuracy28.629729859749308
(*.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)))))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0.1015625
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
accuracy19.57801067760147
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(*.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy40.33673268021322
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy41.45963074629373
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
accuracy0
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy0
(-.f64 x z)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy0.00390625
(/.f64 (-.f64 x z) y)
Samples
60.0ms173×0valid
25.0ms52×1valid
24.0ms31×2valid
Compiler

Compiled 640 to 84 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 36.0ms (43.3% of total)
ival-div: 12.0ms (14.4% of total)
ival-add: 10.0ms (12% of total)
adjust: 8.0ms (9.6% of total)
ival-sub: 6.0ms (7.2% of total)
ival-pow: 6.0ms (7.2% of total)
ival-neg: 3.0ms (3.6% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series208.0ms (3%)

Memory
29.7MiB live, 67.0MiB allocated
Counts
17 → 191
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x 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 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 (/.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)
(*.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)))))
(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 (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 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 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))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64))
Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
(* 4 (/ x y))
(/ x y)
2
(+ 2 (* 4 (/ x y)))
(/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
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x
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(* -64 (/ (pow x 3) (pow y 3)))
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(* -16 (/ (pow x 2) (pow y 2)))
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(* 16 (/ x y))
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(/ (pow x 3) (pow y 3))
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(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
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(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z x) 1)))
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(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y)))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* x (pow y 3)))) (/ 1 x)) (* 64 (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) x)) (* 64 (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3))))))
(* (pow x 2) (- (+ (* -16 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) (* x y)))) (* 16 (/ 1 (pow y 2)))))
(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) (* x y))) (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2)))))
(* -1 (* x (- (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) x)) (* 16 (/ 1 y)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) x)) (* 16 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (+ (* -1 (/ (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) x)) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3)))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 3) (* x (pow y 3)))))) x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (- x z) y)
(/ (+ (* 2 y) (* 4 x)) y)
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(* (pow z 2) (- (* -1 (/ (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) (pow z 2))) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2)))))))
(* -16 (/ z y))
(* z (- (* 16 (/ (+ 1/4 (/ x y)) z)) (+ (* 16 (/ 1 y)) (* 4 (/ 1 z)))))
(* 16 (/ (pow z 2) (pow y 2)))
(* (pow z 2) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2))))))
(* (pow z 2) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (+ (* 16 (/ 1 (pow y 2))) (+ (/ 1 (pow z 2)) (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) (* y (pow z 2))))))))
(* -1 (/ (pow z 3) (pow y 3)))
(* (pow z 3) (- (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))) (/ 1 (pow y 3))))
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))))) (/ 1 (pow y 3))))
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (+ (/ x (* (pow y 3) z)) (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) (pow z 3)))))))) (/ 1 (pow y 3))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (pow y 2) (+ 1 (* 64 (/ (pow (+ x (* 1/4 y)) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) (- (* 4 (* (pow y 2) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y))))))))) (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))))) z)) (* 4 (* (pow y 2) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y)))))
(* -1 (* (pow z 3) (- (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (* 64 (/ 1 (pow y 3))))))
(* -1 (* (pow z 3) (- (* -1 (/ (- (* 64 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (* 64 (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3))))))
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) z))) (/ 1 z)) (* 64 (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) z)) (* 64 (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3))))))
(* (pow z 2) (- (* -1 (/ (- (* 4 (/ 1 y)) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2)))))
(* (pow z 2) (- (* -1 (/ (- (+ (* 4 (/ 1 y)) (+ (/ 1 z) (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) (* y z)))) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2)))))
(* -1 (* z (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) z)) (* 16 (/ 1 y)))))
(* (pow z 2) (+ (* -1 (/ (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2)))))
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) z)) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (/ 1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3)))))
Calls

9 calls:

TimeVariablePointExpression
142.0ms
y
@inf
((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3))
12.0ms
z
@inf
((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3))
9.0ms
z
@-inf
((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3))
9.0ms
x
@-inf
((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3))
7.0ms
x
@inf
((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3))

simplify277.0ms (4%)

Memory
-16.1MiB live, 170.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122911424
1410311321
0856710440
Stop Event
iter limit
node limit
Counts
191 → 190
Calls
Call 1
Inputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
(* 4 (/ x y))
(/ x y)
2
(+ 2 (* 4 (/ x y)))
(/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (+ (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ 1 (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* 16 (/ (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2))) (* (pow y 2) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
(* -1 (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))))
(- (* -64 (* x (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))))
(- (* x (- (* -64 (* x (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 64 (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))))
(- (* x (- (* x (- (* -64 (/ x (pow y 3))) (* 64 (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))))) (* 64 (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))))
(* -1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))
(- (* x (- (* 4 (/ 1 y)) (* 32 (/ (- (* 1/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))
(- (* x (- (+ (* -16 (/ x (pow y 2))) (* 4 (/ 1 y))) (* 32 (/ (- (* 1/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))
(- (* 16 (/ (- (* 1/4 y) z) y)) 4)
(- (+ (* 16 (/ x y)) (* 16 (/ (- (* 1/4 y) z) y))) 4)
(+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))
(+ 1 (+ (* x (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))
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(/ (pow (- (* 1/4 y) z) 3) (pow y 3))
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x
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(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (/ 1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3)))))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3)))))
Outputs
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y)) #s(literal 1 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 2 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)
(* 4 (/ x y))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/ x y)
(/.f64 x y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 64 binary64) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64)))
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
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(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
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(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (+ (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ 1 (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* 16 (/ (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2))) (* (pow y 2) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))
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(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3)))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) z)) z)))
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3)))))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z)) z)))

rewrite234.0ms (3.3%)

Memory
1.6MiB live, 293.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039230
063224
1299224
22335222
09066213
Stop Event
iter limit
node limit
iter limit
Counts
17 → 471
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 x z) y)
(-.f64 x 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 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 (/.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)
(*.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)))))
(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 (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 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 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))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))))
(fma.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z))
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #s(literal -1 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 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)))
(/.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 x y) (*.f64 y z))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))) (neg.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) y) (*.f64 y z)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.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)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) 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 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 z))) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 y)))
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y x)) z)) (*.f64 (neg.f64 (/.f64 y x)) y))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y x)) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 z))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) z)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) y))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z))) (*.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (/.f64 y z)))
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (neg.f64 y))
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) z) y)
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64))) (+.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z y)))
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (*.f64 y (+.f64 z x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (+.f64 z x) y))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y))
(/.f64 (-.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) z)) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 x y) (*.f64 y z)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y (+.f64 z x)))
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(/.f64 (neg.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) (neg.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))))
(/.f64 (pow.f64 (*.f64 (-.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))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x)) #s(literal 3 binary64)))
(/.f64 (pow.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))) (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (/.f64 z y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (/.f64 z y)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x)) y) #s(literal 3 binary64)))
(/.f64 (pow.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 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) y) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) (neg.f64 y))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) y)
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))))
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) y)
(/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x))) #s(literal 3 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 3 binary64)) (pow.f64 (*.f64 y (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) y) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) (neg.f64 y)) #s(literal 3 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal 3 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal -3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y)) #s(literal 3 binary64)))

eval470.0ms (6.7%)

Memory
-6.1MiB live, 186.1MiB allocated
Compiler

Compiled 38 178 to 3 478 computations (90.9% saved)

prune25.0ms (0.4%)

Memory
-7.3MiB live, 41.2MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New6543657
Fresh123
Picked325
Done000
Total6587665
Accuracy
100.0%
Counts
665 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
98.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
68.1%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
66.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
35.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
37.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
35.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 242 to 202 computations (16.5% saved)

simplify323.0ms (4.6%)

Memory
20.6MiB live, 175.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 5 (0.0ms)

IterNodesCost
029188
042182
173182
2115182
3191182
4332172
5659157
61891157
75127157
08237157
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 x y) (/.f64 z y))
(/.f64 x y)
x
y
(/.f64 z y)
z
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(/.f64 z y)
z
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)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(literal 2 binary64)
#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)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 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)
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y)))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/.f64 z y)
z
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 #s(literal -4 binary64) y) z #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))
#s(literal -4 binary64)
(/.f64 z y)
z
y
#s(literal 2 binary64)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(literal 2 binary64)
#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)

localize92.0ms (1.3%)

Memory
19.2MiB live, 94.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x z)
accuracy0.00390625
(/.f64 (-.f64 x z) y)
accuracy0.0078125
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy21.225507569015125
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
accuracy0
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy0
(/.f64 x y)
accuracy19.57801067760147
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy0
(/.f64 z y)
accuracy0.01171875
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
accuracy20.442073226323533
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
accuracy0
(/.f64 z y)
accuracy0.021816259768442016
(*.f64 (/.f64 z y) #s(literal -4 binary64))
accuracy41.59801130429515
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
accuracy0
(/.f64 z y)
accuracy0
(/.f64 x y)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy0.7617125574906174
(-.f64 (/.f64 x y) (/.f64 z y))
Samples
75.0ms256×0valid
Compiler

Compiled 342 to 59 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-sub: 36.0ms (60.2% of total)
ival-mult: 10.0ms (16.7% of total)
ival-div: 7.0ms (11.7% of total)
ival-add: 5.0ms (8.4% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-1.6MiB live, 34.9MiB allocated
Counts
15 → 52
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) (/.f64 z y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(/.f64 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)))
(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 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
#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)
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))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(/ x y)
2
(+ 2 (* 4 (/ x y)))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
(* 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))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
x
(* x (+ 1 (* -1 (/ z x))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (/ z x) 1)))
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ z y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(+ 2 (* 4 (/ (- x z) y)))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ x (* -1 z))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
x
@0
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms
y
@-inf
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms
z
@inf
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms
y
@0
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))
2.0ms
y
@inf
((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z))

simplify139.0ms (2%)

Memory
-46.9MiB live, 129.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155444
1459444
21311326
34134326
47237326
08226302
Stop Event
iter limit
node limit
Counts
52 → 51
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))))
(+ 2 (* -4 (/ z y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(/ x y)
2
(+ 2 (* 4 (/ x y)))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
(* 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))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
x
(* x (+ 1 (* -1 (/ z x))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (/ z x) 1)))
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ z y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(+ 2 (* 4 (/ (- x z) y)))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ x (* -1 z))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (/ x z) 1))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
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 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #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))
(/ x y)
(/.f64 x y)
2
#s(literal 2 binary64)
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(* -1 z)
(neg.f64 z)
(- x z)
(-.f64 x z)
(* 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 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* 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 (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* -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)))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -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))
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(/ (- x z) y)
(/.f64 (-.f64 x z) y)
(* 4 (/ (- x z) y))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y)
(/ z y)
(/.f64 z y)
(/ (+ (* -4 z) (* 2 y)) y)
(/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal 2 binary64) y)) y)
(/ (+ (* 2 y) (* 4 x)) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 4 binary64) x)) y)
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(/.f64 (-.f64 x z) y)
(+ 2 (* -4 (/ (- (* -1 x) (* -1 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)
(* 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 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* z (- (/ x z) 1))
(-.f64 x z)
(* -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 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(* -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 (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

rewrite356.0ms (5.1%)

Memory
22.3MiB live, 226.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029159
042153
1189153
21642153
08902143
Stop Event
iter limit
node limit
iter limit
Counts
15 → 560
Calls
Call 1
Inputs
(-.f64 (/.f64 x y) (/.f64 z y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 x y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
(*.f64 (/.f64 z y) #s(literal -4 binary64))
(/.f64 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)))
(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 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
#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)
Outputs
(*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) (+.f64 z x)))
(*.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 z x)))
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y y)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #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 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (fma.f64 y x (*.f64 (neg.f64 y) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64))
(/.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 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y y)))) (neg.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 z x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) 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 (/.f64 y x) #s(literal 1 binary64)))) (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 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x))) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (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 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (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 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 (/.f64 y z) #s(literal 1 binary64))))
(/.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)))
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(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y))
(*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z)))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x (neg.f64 z)))
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) z x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 x (neg.f64 z))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))))
(-.f64 x z)
(+.f64 (neg.f64 z) x)
(+.f64 x (neg.f64 z))

eval82.0ms (1.2%)

Memory
13.6MiB live, 124.6MiB allocated
Compiler

Compiled 14 902 to 1 863 computations (87.5% saved)

prune191.0ms (2.7%)

Memory
-12.7MiB live, 33.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4890489
Fresh000
Picked055
Done022
Total4897496
Accuracy
100.0%
Counts
496 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.4%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
98.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
68.1%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
66.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
35.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
37.0%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
35.2%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 390 to 180 computations (53.8% saved)

regimes32.0ms (0.5%)

Memory
-17.0MiB live, 58.2MiB allocated
Counts
12 → 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 z 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 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #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 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 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 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(*.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)))))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)))
Calls

5 calls:

12.0ms
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
7.0ms
x
5.0ms
y
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
14.1MiB live, 51.6MiB 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 z 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 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x 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 #s(literal -4 binary64) (/.f64 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)))
Calls

5 calls:

5.0ms
y
3.0ms
z
3.0ms
x
3.0ms
(+.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
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
92.0%3x
89.1%3y
88.7%3z
99.7%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
99.7%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)

regimes14.0ms (0.2%)

Memory
-32.3MiB live, 26.5MiB allocated
Counts
7 → 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 z 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 #s(literal 4 binary64) y) x #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #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 x y) #s(literal 4 binary64) #s(literal 2 binary64)))
Calls

3 calls:

8.0ms
x
3.0ms
(+.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
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
91.5%3x
74.6%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
74.6%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 25 to 25 computations (0% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB 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 z 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 #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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
91.4%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB 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 z 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)))
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

3 calls:

3.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
71.3%3z
72.2%3y
86.3%3x
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
4 → 6
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 z y) #s(literal -4 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)) (*.f64 (/.f64 z y) #s(literal -4 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 x y) #s(literal 4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
Calls

5 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) 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))
Results
AccuracySegmentsBranch
61.0%5z
61.8%5y
75.4%6(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
75.4%6(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
63.3%4x
Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes20.0ms (0.3%)

Memory
-33.0MiB live, 6.7MiB allocated
Counts
3 → 6
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 x y) #s(literal 4 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)) (*.f64 (/.f64 x y) #s(literal 4 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)))
Calls

2 calls:

18.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) 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))
Results
AccuracySegmentsBranch
75.3%6(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
75.3%6(/.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)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
2 → 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))
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:

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
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
67.0%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
67.0%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)

regimes7.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB 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
y
1.0ms
x
1.0ms
z
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
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Results
AccuracySegmentsBranch
35.2%1z
35.2%1y
35.2%1x
35.2%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
35.2%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
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4668714442355983
1.9495550142936205e+23
0.0ms
-1.4834373746133404e+26
-5.983350838093422e+20
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch64.0ms (0.9%)

Memory
16.1MiB live, 54.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
46.0ms
57230096604181096.0
2.5028223254015427e+31
14.0ms
-5.353391787176089e+125
-3.644252364006908e+119
Samples
48.0ms304×0valid
Compiler

Compiled 776 to 702 computations (9.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.3% of total)
ival-add: 3.0ms (28% of total)
ival-div: 2.0ms (18.6% of total)
ival-sub: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory
-31.3MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
57230096604181096.0
2.5028223254015427e+31
5.0ms
-5.353391787176089e+125
-3.644252364006908e+119
Compiler

Compiled 776 to 702 computations (9.5% saved)

bsearch14.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
1.1897764948575926e+64
3.832525317121559e+64
4.0ms
-5.353391787176089e+125
-3.644252364006908e+119
Samples
7.0ms112×0valid
Compiler

Compiled 562 to 508 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 1.0ms (25.3% of total)
ival-add: 1.0ms (25.3% of total)
ival-mult: 1.0ms (25.3% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.876498069374708e+232
8.36363819267768e+233
0.0ms
8.24766148459173e+76
6.445474790598875e+80
0.0ms
1.9495550142936205e+23
4.178682891022073e+24
0.0ms
-17.4100138793401
0.9999948645202872
0.0ms
-3.061915416315872e+139
-4.843177728956696e+130
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.876498069374708e+232
8.36363819267768e+233
0.0ms
8.24766148459173e+76
6.445474790598875e+80
0.0ms
1.9495550142936205e+23
4.178682891022073e+24
0.0ms
-17.4100138793401
0.9999948645202872
0.0ms
-3.061915416315872e+139
-4.843177728956696e+130
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.4668714442355983
1.9495550142936205e+23
0.0ms
-17.4100138793401
0.9999948645202872
Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify53.0ms (0.8%)

Memory
8.4MiB live, 49.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083770
196770
2101770
3103770
4104770
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #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 -100000000000000004764729344 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 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 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 400000000000000000 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 x y) #s(literal 4 binary64) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 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 400000000000000000 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 -539999999999999967413636055687189277798356298794558662254502691289946428391717537575218972021590240802402826051587577741312 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 38000000000000001102476249825447664788184765651439271908611194880 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 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 199999999999999983222784 binary64)) #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 99999999999999998278261272554585856747747644714015897553975120217811154108416 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 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 -10 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 199999999999999983222784 binary64)) #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 99999999999999998278261272554585856747747644714015897553975120217811154108416 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 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 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))))))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 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 4 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
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #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 -100000000000000004764729344 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 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 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100000000000000004764729344 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 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) 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 (-.f64 x z) y) #s(literal 4 binary64)))))
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 400000000000000000 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 x y) #s(literal 4 binary64) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 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 400000000000000000 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 -539999999999999967413636055687189277798356298794558662254502691289946428391717537575218972021590240802402826051587577741312 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 38000000000000001102476249825447664788184765651439271908611194880 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 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 199999999999999983222784 binary64)) #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 99999999999999998278261272554585856747747644714015897553975120217811154108416 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 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))))))
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 199999999999999983222784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))))))
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#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness1.1s (16%)

Memory
-9.6MiB live, 537.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122911424
1410311321
0856710440
0120423
1360410
2963335
33620321
08458283
039230
063224
1299224
22335222
09066213
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 831 to 185 computations (77.7% saved)

preprocess64.0ms (0.9%)

Memory
-7.0MiB live, 111.5MiB allocated
Compiler

Compiled 1 566 to 194 computations (87.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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