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

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze55.0ms (0.8%)

Memory
5.5MiB live, 86.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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)

sample1.0s (14.6%)

Memory
26.9MiB live, 1 805.5MiB allocated
Samples
670.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-mult: 128.0ms (31.4% of total)
ival-div: 118.0ms (29% of total)
ival-add: 94.0ms (23.1% of total)
ival-sub: 47.0ms (11.5% of total)
exact: 10.0ms (2.5% of total)
ival-true: 7.0ms (1.7% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain122.0ms (1.7%)

Memory
-4.8MiB live, 238.5MiB 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
42.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 125 to 40 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add: 10.0ms (43.3% of total)
ival-mult: 6.0ms (26% of total)
ival-div: 3.0ms (13% of total)
ival-sub: 2.0ms (8.7% of total)
exact: 1.0ms (4.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess196.0ms (2.8%)

Memory
0.0MiB live, 155.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 292×lower-fma.f64
7 292×lower-fma.f32
2 920×lower-/.f32
2 918×lower-/.f64
2 674×lower-*.f32
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
1×iter limit
1×node limit
1×iter limit
1×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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify115.0ms (1.6%)

Memory
13.7MiB live, 171.6MiB allocated
Algorithm
1×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))
Rules
7 292×lower-fma.f64
7 292×lower-fma.f32
2 920×lower-/.f32
2 918×lower-/.f64
2 674×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01254
01854
13054
25854
311054
421148
547446
6147246
7462646
0810741
Stop Event
1×iter limit
1×node limit
1×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

localize38.0ms (0.5%)

Memory
-10.6MiB live, 70.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z))
accuracy0.00390625
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
accuracy0.015625
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Samples
29.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 56 to 14 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (40.2% of total)
ival-div: 2.0ms (20.1% of total)
ival-add: 2.0ms (20.1% of total)
ival-sub: 1.0ms (10.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-2.3MiB live, 35.2MiB allocated
Counts
5 → 168
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())
#s(alt (+.f64 x (*.f64 y #s(literal 1/4 binary64))) (patch (+.f64 x (*.f64 y #s(literal 1/4 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())
Outputs
#s(alt (* 4 (+ x (* 1/4 y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 z) (* 4 (+ x (* 1/4 y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (+ x (* 1/4 y)) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (+ x (* 1/4 y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (* -1 z) (* 1/4 y))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -4 z) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) (taylor inf z) (#s(alt (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) (patch (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) (taylor inf z) (#s(alt (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) (patch (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) (patch (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
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) (- (+ x (* y 1/4)) z))
2.0ms
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) (- (+ x (* y 1/4)) z))
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) (- (+ x (* y 1/4)) z))
1.0ms
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) (- (+ x (* y 1/4)) z))
1.0ms
z
@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) (- (+ x (* y 1/4)) z))

simplify146.0ms (2.1%)

Memory
-5.6MiB live, 187.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 436×lower-fma.f64
10 436×lower-fma.f32
5 076×lower-*.f64
5 076×lower-*.f32
1 536×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471602
14401467
212121396
348151240
082821105
Stop Event
1×iter limit
1×node limit
Counts
168 → 161
Calls
Call 1
Inputs
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ (* -4 z) (* 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))))
(+ 1 (+ (* -4 (/ z y)) (* 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 y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(+ x (* 1/4 y))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* 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)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(* -1 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* 4 (- x z))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
x
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(* 4 (/ (- x z) y))
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
(/ (+ y (* 4 (- x z))) y)
(- x z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1 (* 4 (/ (- x z) y))))
(* y (+ 1 (* 4 (/ (- x z) y))))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* 1/4 y)
(* y (+ 1/4 (/ x y)))
(* y (+ 1/4 (/ x y)))
(* y (+ 1/4 (/ x y)))
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(* 1/4 y)
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* 1/4 y)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
1
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(+ 1 (* 4 (/ (- x z) y)))
(* 1/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ (* 4 x) (* 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 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 1/4 y)
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(+ x (* 1/4 y))
(* 4 (/ (- (* 1/4 y) z) y))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(- (* 1/4 y) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(* 4 x)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) 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 (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
x
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ 1 (* 1/4 (/ y x))))
(* x (+ 1 (* 1/4 (/ y x))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(* 4 x)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(* 4 (/ x y))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
x
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
Outputs
(* 4 (+ x (* 1/4 y)))
(fma.f64 x #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* 4 (/ (+ x (* 1/4 y)) y))
(/.f64 (fma.f64 x #s(literal 4 binary64) y) y)
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (+ (* -1 z) (* 1/4 y)))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(+ x (+ (* -1 z) (* 1/4 y)))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(+ x (+ (* -1 z) (* 1/4 y)))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -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 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* -1 z)
(neg.f64 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) (/.f64 x z)) #s(literal 1 binary64)) z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) (/.f64 x z)) #s(literal 1 binary64)) z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 y z) #s(literal 1/4 binary64) (/.f64 x z)) #s(literal 1 binary64)) z)
(* -4 z)
(*.f64 z #s(literal -4 binary64))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 1 binary64)))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* 4 (- x z))
(*.f64 (-.f64 x z) #s(literal 4 binary64))
(+ y (* 4 (- x z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ y (* 4 (- x z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ 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)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (-.f64 x z) #s(literal 4 binary64))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (-.f64 x z) #s(literal 4 binary64))) y)
x
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(* 4 (/ (- x z) y))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(/ (+ y (* 4 (- x z))) y)
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(- x z)
(-.f64 x z)
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
y
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* y (+ 1 (* 4 (/ (- x z) y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* y (+ 1/4 (/ x y)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* y (+ 1/4 (/ x y)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* y (+ 1/4 (/ x y)))
(fma.f64 y #s(literal 1/4 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ 1 (* 4 (/ (- x z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ 1 (* 4 (/ (- x z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(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))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(+ 2 (* 4 (/ (- x z) y)))
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) 1/4)))
(fma.f64 y #s(literal 1/4 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 4 (/ (- x z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ 1 (* 4 (/ (- x z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ 1 (* 4 (/ (- x z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
(* 4 (- (* 1/4 y) z))
(fma.f64 z #s(literal -4 binary64) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* 1/4 y)
(*.f64 y #s(literal 1/4 binary64))
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(+ x (* 1/4 y))
(fma.f64 y #s(literal 1/4 binary64) x)
(* 4 (/ (- (* 1/4 y) z) y))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 1 binary64))
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(- (* 1/4 y) z)
(-.f64 (*.f64 y #s(literal 1/4 binary64)) z)
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(- (+ x (* 1/4 y)) z)
(fma.f64 y #s(literal 1/4 binary64) (-.f64 x z))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
x
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 y #s(literal 1/4 binary64) x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 y #s(literal 1/4 binary64) x)
(* x (+ 1 (* 1/4 (/ y x))))
(fma.f64 y #s(literal 1/4 binary64) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 (/.f64 (neg.f64 z) x) x (fma.f64 y #s(literal 1/4 binary64) x))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 (/.f64 (neg.f64 z) x) x (fma.f64 y #s(literal 1/4 binary64) x))
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
(fma.f64 (/.f64 (neg.f64 z) x) x (fma.f64 y #s(literal 1/4 binary64) x))
(* 4 x)
(*.f64 x #s(literal 4 binary64))
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4)))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y)) x)
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) x) (/.f64 #s(literal -4 binary64) y)) x)
x
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* -1 (* x (- (* -1/4 (/ y x)) 1)))
(fma.f64 y #s(literal 1/4 binary64) x)
(* 4 (/ x y))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))))
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y)
x
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(fma.f64 (/.f64 (neg.f64 z) x) x (fma.f64 y #s(literal 1/4 binary64) x))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(fma.f64 (/.f64 (neg.f64 z) x) x (fma.f64 y #s(literal 1/4 binary64) x))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(fma.f64 (/.f64 (neg.f64 z) x) x (fma.f64 y #s(literal 1/4 binary64) x))

rewrite173.0ms (2.4%)

Memory
30.5MiB live, 187.6MiB allocated
Rules
6 902×lower-fma.f64
6 902×lower-fma.f32
5 372×lower-*.f32
5 368×lower-*.f64
3 676×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01845
17445
262945
0848039
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 436
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 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)
Outputs
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eval352.0ms (5%)

Memory
-1.0MiB live, 115.1MiB allocated
Compiler

Compiled 14 483 to 1 976 computations (86.4% saved)

prune18.0ms (0.2%)

Memory
7.6MiB live, 43.0MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5898597
Fresh000
Picked101
Done000
Total5908598
Accuracy
100.0%
Counts
598 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶65.4%
(fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.1%
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
▶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)))
▶67.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
67.6%
#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 #s(literal 4 binary64) y) x))
36.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
▶33.4%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 146 to 134 computations (8.2% saved)

simplify107.0ms (1.5%)

Memory
-6.7MiB live, 77.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
cost-diff0
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))
cost-diff320
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))
cost-diff14592
(fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
cost-diff128
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
cost-diff0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
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)))
Rules
5 692×lower-fma.f32
5 686×lower-fma.f64
3 002×lower-*.f32
2 996×lower-*.f64
2 202×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031202
047180
190180
2148180
3231173
4436161
51614161
64519161
08100156
Stop Event
1×iter limit
1×node limit
1×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 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
z
(fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
y
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
(fma.f64 #s(literal 1/4 binary64) y x)
#s(literal 1/4 binary64)
x
z
#s(literal 4 binary64)
#s(literal -1/2 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)))
#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 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 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 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
x
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
z
(fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 y (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) #s(literal -1/2 binary64))
(/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
(/.f64 y (fma.f64 (-.f64 x z) #s(literal 4 binary64) y))
y
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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)
x
z
#s(literal 4 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

localize134.0ms (1.9%)

Memory
5.1MiB live, 128.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
accuracy0.0078125
(/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
accuracy0.11328125
(fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy6.23423116560118
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
accuracy0.06640625
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
accuracy11.194405819782695
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0.109375
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
accuracy29.72959620415535
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x))
accuracy20.816123244801975
#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
70.0ms167×0valid
32.0ms88×0invalid
0.0ms1×1valid
Compiler

Compiled 188 to 32 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-add: 40.0ms (54.1% of total)
ival-mult: 12.0ms (16.2% of total)
ival-sub: 10.0ms (13.5% of total)
ival-div: 7.0ms (9.5% of total)
ival-pow: 5.0ms (6.8% of total)
exact: 1.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series103.0ms (1.5%)

Memory
-10.4MiB live, 102.4MiB allocated
Counts
16 → 504
Calls
Call 1
Inputs
#s(alt #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))) (patch #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))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 4 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) y) (patch (/.f64 #s(literal 4 binary64) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) (patch (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 4 binary64) y) z) (patch (*.f64 (/.f64 #s(literal 4 binary64) y) z) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) (patch (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (patch (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (patch (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #<representation binary64>) () ())
Outputs
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #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))) (patch #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))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 z) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) (patch (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor 0 z) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) (patch (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -4 (/ z y))) (taylor 0 z) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) (patch (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -2 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (* (sqrt -1) (pow (- (* 1/4 y) z) 2)) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow x 3) y))) (/ (* (sqrt -1) (- (* 1/4 y) z)) (sqrt -4)))) (+ (* 4 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (* (sqrt -1) (pow (- (* 1/4 y) z) 3)) (pow (sqrt -4) 5)))) (* (sqrt (/ 1 (* x y))) (* (sqrt -4) (sqrt -1)))))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/4 (/ y x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (patch (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1/4 y) (* 1/4 (/ (* y (- (* 1/4 y) z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (patch (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* y (- (* 1/4 y) z))) (* 1/4 (/ (* y (pow (- (* 1/4 y) z) 2)) x))) x)) (* -1/4 y)) x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (patch (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* y (pow (- (* 1/4 y) z) 2))) (* 1/4 (/ (* y (pow (- (* 1/4 y) z) 3)) x))) x)) (* -1/4 (* y (- (* 1/4 y) z)))) x)) (* -1/4 y)) x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) (patch (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (patch (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (patch (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (patch (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (patch (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
20.0ms
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)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (- (+ (* 1/4 y) x) z) 4) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (/ y (* (- (+ (* 1/4 y) x) z) 4)) (- (+ (* 1/4 y) x) z))
6.0ms
y
@0
((+ 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)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (- (+ (* 1/4 y) x) z) 4) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (/ y (* (- (+ (* 1/4 y) x) z) 4)) (- (+ (* 1/4 y) x) z))
4.0ms
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)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (- (+ (* 1/4 y) x) z) 4) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (/ y (* (- (+ (* 1/4 y) x) z) 4)) (- (+ (* 1/4 y) x) z))
3.0ms
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)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (- (+ (* 1/4 y) x) z) 4) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (/ y (* (- (+ (* 1/4 y) x) z) 4)) (- (+ (* 1/4 y) x) z))
3.0ms
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)) (* (/ 4 y) x) (/ 4 y) (- 2 (* (/ 4 y) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ 4 y) z) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (- (+ (* 1/4 y) x) z) 4) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (/ y (* (- (+ (* 1/4 y) x) z) 4)) (- (+ (* 1/4 y) x) z))

simplify214.0ms (3%)

Memory
-4.8MiB live, 235.0MiB allocated
Algorithm
1×egg-herbie
Rules
13 138×lower-fma.f64
13 138×lower-fma.f32
5 802×lower-*.f64
5 802×lower-*.f32
4 862×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06346236
118275989
255035799
083105390
Stop Event
1×iter limit
1×node limit
Counts
504 → 497
Calls
Call 1
Inputs
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* 4 (+ x (* 1/4 y)))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(* 2 (sqrt (/ (+ x (* 1/4 y)) y)))
(+ (* -1 (* (sqrt (/ 1 (* y (+ x (* 1/4 y))))) z)) (* 2 (sqrt (/ (+ x (* 1/4 y)) y))))
(+ (* 2 (sqrt (/ (+ x (* 1/4 y)) y))) (* z (+ (* -1 (sqrt (/ 1 (* y (+ x (* 1/4 y)))))) (* -1/4 (* (sqrt (/ 1 (* y (pow (+ x (* 1/4 y)) 3)))) z)))))
(+ (* 2 (sqrt (/ (+ x (* 1/4 y)) y))) (* z (+ (* -1 (sqrt (/ 1 (* y (+ x (* 1/4 y)))))) (* z (+ (* -1/4 (sqrt (/ 1 (* y (pow (+ x (* 1/4 y)) 3))))) (* -1/8 (* (sqrt (/ 1 (* y (pow (+ x (* 1/4 y)) 5)))) z)))))))
(* 1/4 (/ y (+ x (* 1/4 y))))
(+ (* 1/4 (/ y (+ x (* 1/4 y)))) (* 1/4 (/ (* y z) (pow (+ x (* 1/4 y)) 2))))
(+ (* 1/4 (/ y (+ x (* 1/4 y)))) (* z (+ (* 1/4 (/ y (pow (+ x (* 1/4 y)) 2))) (* 1/4 (/ (* y z) (pow (+ x (* 1/4 y)) 3))))))
(+ (* 1/4 (/ y (+ x (* 1/4 y)))) (* z (+ (* 1/4 (/ y (pow (+ x (* 1/4 y)) 2))) (* z (+ (* 1/4 (/ y (pow (+ x (* 1/4 y)) 3))) (* 1/4 (/ (* y z) (pow (+ x (* 1/4 y)) 4))))))))
(+ x (* 1/4 y))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(+ x (+ (* -1 z) (* 1/4 y)))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 z)
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4))
(* (sqrt (/ z y)) (sqrt -4))
(* z (+ (* 2 (* (sqrt (/ 1 (* y (pow z 3)))) (/ (+ x (* 1/4 y)) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))
(* z (+ (* -2 (* (sqrt (/ 1 (* y (pow z 5)))) (/ (pow (+ x (* 1/4 y)) 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* y (pow z 3)))) (/ (+ x (* 1/4 y)) (sqrt -4)))) (* (sqrt (/ 1 (* y z))) (sqrt -4)))))
(* z (+ (* -2 (* (sqrt (/ 1 (* y (pow z 5)))) (/ (pow (+ x (* 1/4 y)) 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* y (pow z 3)))) (/ (+ x (* 1/4 y)) (sqrt -4)))) (+ (* 4 (* (sqrt (/ 1 (* y (pow z 7)))) (/ (pow (+ x (* 1/4 y)) 3) (pow (sqrt -4) 5)))) (* (sqrt (/ 1 (* y z))) (sqrt -4))))))
(* -1/4 (/ y z))
(/ (+ (* -1/4 y) (* -1/4 (/ (* y (+ x (* 1/4 y))) z))) z)
(/ (+ (* -1/4 y) (+ (* -1/4 (/ (* y (+ x (* 1/4 y))) z)) (* -1/4 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2))))) z)
(/ (+ (* -1/4 y) (+ (* -1/4 (/ (* y (+ x (* 1/4 y))) z)) (+ (* -1/4 (/ (* y (pow (+ x (* 1/4 y)) 2)) (pow z 2))) (* -1/4 (/ (* y (pow (+ x (* 1/4 y)) 3)) (pow z 3)))))) z)
(* -1 z)
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* z (- (+ (* 1/4 (/ y z)) (/ x z)) 1))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 z)
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z)))))
(* -2 (* (sqrt (/ z y)) (sqrt -1)))
(* -1 (* z (+ (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))) (* (sqrt (/ 1 (* y (pow z 3)))) (* (sqrt -1) (+ x (* 1/4 y)))))))
(* -1 (* z (+ (* -1/4 (* (sqrt (/ 1 (* y (pow z 5)))) (* (sqrt -1) (pow (+ x (* 1/4 y)) 2)))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))) (* (sqrt (/ 1 (* y (pow z 3)))) (* (sqrt -1) (+ x (* 1/4 y))))))))
(* -1 (* z (+ (* -1/4 (* (sqrt (/ 1 (* y (pow z 5)))) (* (sqrt -1) (pow (+ x (* 1/4 y)) 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* y (pow z 7)))) (* (sqrt -1) (pow (+ x (* 1/4 y)) 3)))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (sqrt -1))) (* (sqrt (/ 1 (* y (pow z 3)))) (* (sqrt -1) (+ x (* 1/4 y)))))))))
(* -1/4 (/ y z))
(* -1 (/ (+ (* 1/4 y) (* 1/4 (/ (* y (+ x (* 1/4 y))) z))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* y (+ x (* 1/4 y)))) (* -1/4 (/ (* y (pow (+ x (* 1/4 y)) 2)) z))) z)) (* 1/4 y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* y (pow (+ x (* 1/4 y)) 2))) (* 1/4 (/ (* y (pow (+ x (* 1/4 y)) 3)) z))) z)) (* -1/4 (* y (+ x (* 1/4 y))))) z)) (* 1/4 y)) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ x (* 1/4 y)) z)))))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
(* -4 (/ z y))
(/ (- (* 2 y) (* 4 z)) y)
(/ (- (* 2 y) (* 4 z)) y)
(/ (- (* 2 y) (* 4 z)) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (- x z))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
(+ y (* 4 (- x z)))
(* 2 (sqrt (/ (- x z) y)))
(/ (+ (* 1/4 (sqrt (/ (pow y 3) (- x z)))) (* 2 (sqrt (* y (- x z))))) y)
(/ (+ (* 2 (sqrt (* y (- x z)))) (* (pow y 2) (+ (* -1/64 (sqrt (/ y (pow (- x z) 3)))) (* 1/4 (sqrt (/ 1 (* y (- x z)))))))) y)
(/ (+ (* 2 (sqrt (* y (- x z)))) (* (pow y 2) (+ (* 1/4 (sqrt (/ 1 (* y (- x z))))) (* (pow y 2) (+ (* -1/64 (sqrt (/ 1 (* (pow y 3) (pow (- x z) 3))))) (* 1/512 (sqrt (/ 1 (* y (pow (- x z) 5)))))))))) y)
(* 1/4 (/ y (- x z)))
(* y (+ (* -1/16 (/ y (pow (- x z) 2))) (* 1/4 (/ 1 (- x z)))))
(* y (+ (* y (- (* 1/64 (/ y (pow (- x z) 3))) (* 1/16 (/ 1 (pow (- x z) 2))))) (* 1/4 (/ 1 (- x z)))))
(* y (+ (* y (- (* y (+ (* -1/256 (/ y (pow (- x z) 4))) (* 1/64 (/ 1 (pow (- x z) 3))))) (* 1/16 (/ 1 (pow (- x z) 2))))) (* 1/4 (/ 1 (- x z)))))
(- x z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
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(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
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(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
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(* 4 (/ x y))
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1
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(- (+ 1 (* 16 (/ (pow (- x z) 2) (pow y 2)))) (* 4 (/ (- x z) y)))
(- (+ 1 (* -64 (/ (pow (- x z) 3) (pow y 3)))) (+ (* -16 (/ (pow (- x z) 2) (pow y 2))) (* 4 (/ (- x z) y))))
(* 1/4 y)
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(* y (- (+ 1/4 (/ x y)) (/ z y)))
(* y (- (+ 1/4 (/ x y)) (/ z y)))
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(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
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(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ 4 y)
(/ 4 y)
(/ 4 y)
(/ 4 y)
2
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(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
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(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(* 4 (/ z y))
(+ 1 (* -1/4 (pow (sqrt -4) 2)))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
y
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
(* -1 (* y (- (* -4 (/ (- x z) y)) 1)))
1
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(+ 1 (* -1 (/ (+ (* -2 (- x z)) (* 2 (/ (pow (- x z) 2) y))) y)))
(+ 1 (* -1 (/ (+ (* -2 (- x z)) (* -1 (/ (+ (* -2 (pow (- x z) 2)) (* 4 (/ (pow (- x z) 3) y))) y))) y)))
1
(+ 1 (* -4 (/ (- x z) y)))
(+ 1 (* -1 (/ (- (* -16 (/ (pow (- x z) 2) y)) (* -4 (- x z))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -64 (/ (pow (- x z) 3) y)) (* -16 (pow (- x z) 2))) y)) (* -4 (- x z))) y)))
(* 1/4 y)
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
(* -1 (* y (- (* -1 (/ (- x z) y)) 1/4)))
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(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
(- x z)
(- x z)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
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(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (- (* 1/4 y) z))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(+ (* 4 x) (* 4 (- (* 1/4 y) z)))
(* 2 (sqrt (/ (- (* 1/4 y) z) y)))
(+ (* 2 (sqrt (/ (- (* 1/4 y) z) y))) (* x (sqrt (/ 1 (* y (- (* 1/4 y) z))))))
(+ (* 2 (sqrt (/ (- (* 1/4 y) z) y))) (* x (+ (sqrt (/ 1 (* y (- (* 1/4 y) z)))) (* -1/4 (* x (sqrt (/ 1 (* y (pow (- (* 1/4 y) z) 3)))))))))
(+ (* 2 (sqrt (/ (- (* 1/4 y) z) y))) (* x (+ (sqrt (/ 1 (* y (- (* 1/4 y) z)))) (* x (+ (* -1/4 (sqrt (/ 1 (* y (pow (- (* 1/4 y) z) 3))))) (* 1/8 (* x (sqrt (/ 1 (* y (pow (- (* 1/4 y) z) 5)))))))))))
(* 1/4 (/ y (- (* 1/4 y) z)))
(+ (* -1/4 (/ (* x y) (pow (- (* 1/4 y) z) 2))) (* 1/4 (/ y (- (* 1/4 y) z))))
(+ (* 1/4 (/ y (- (* 1/4 y) z))) (* x (+ (* -1/4 (/ y (pow (- (* 1/4 y) z) 2))) (* 1/4 (/ (* x y) (pow (- (* 1/4 y) z) 3))))))
(+ (* 1/4 (/ y (- (* 1/4 y) z))) (* x (+ (* -1/4 (/ y (pow (- (* 1/4 y) z) 2))) (* x (+ (* -1/4 (/ (* x y) (pow (- (* 1/4 y) z) 4))) (* 1/4 (/ y (pow (- (* 1/4 y) z) 3))))))))
(- (* 1/4 y) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(- (+ x (* 1/4 y)) z)
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
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(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ z x))))
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(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
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(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
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(* 4 (/ x y))
(* 4 (/ x y))
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(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
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(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
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(* 2 (sqrt (/ x y)))
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(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) y))) (pow (- (* 1/4 y) z) 2))) (+ (* 2 (sqrt (/ 1 (* x y)))) (* (sqrt (/ 1 (* (pow x 3) y))) (- (* 1/4 y) z)))))
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) y))) (pow (- (* 1/4 y) z) 2))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) y))) (pow (- (* 1/4 y) z) 3))) (+ (* 2 (sqrt (/ 1 (* x y)))) (* (sqrt (/ 1 (* (pow x 3) y))) (- (* 1/4 y) z))))))
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(/ (+ (* -1/4 (/ (* y (- (* 1/4 y) z)) x)) (* 1/4 y)) x)
(/ (+ (* -1/4 (/ (* y (- (* 1/4 y) z)) x)) (+ (* 1/4 y) (* 1/4 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2))))) x)
(/ (+ (* -1/4 (/ (* y (- (* 1/4 y) z)) x)) (+ (* -1/4 (/ (* y (pow (- (* 1/4 y) z) 3)) (pow x 3))) (+ (* 1/4 y) (* 1/4 (/ (* y (pow (- (* 1/4 y) z) 2)) (pow x 2)))))) x)
x
(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
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(* x (- (+ 1 (* 1/4 (/ y x))) (/ z x)))
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(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
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(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
x
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(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
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(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
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(* -1 (* (sqrt (/ x y)) (* (sqrt -4) (sqrt -1))))
(* -1 (* x (+ (* 2 (* (sqrt (/ 1 (* (pow x 3) y))) (/ (* (sqrt -1) (- (* 1/4 y) z)) (sqrt -4)))) (* (sqrt (/ 1 (* x y))) (* (sqrt -4) (sqrt -1))))))
(* -1 (* x (+ (* -2 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (* (sqrt -1) (pow (- (* 1/4 y) z) 2)) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow x 3) y))) (/ (* (sqrt -1) (- (* 1/4 y) z)) (sqrt -4)))) (* (sqrt (/ 1 (* x y))) (* (sqrt -4) (sqrt -1)))))))
(* -1 (* x (+ (* -2 (* (sqrt (/ 1 (* (pow x 5) y))) (/ (* (sqrt -1) (pow (- (* 1/4 y) z) 2)) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow x 3) y))) (/ (* (sqrt -1) (- (* 1/4 y) z)) (sqrt -4)))) (+ (* 4 (* (sqrt (/ 1 (* (pow x 7) y))) (/ (* (sqrt -1) (pow (- (* 1/4 y) z) 3)) (pow (sqrt -4) 5)))) (* (sqrt (/ 1 (* x y))) (* (sqrt -4) (sqrt -1))))))))
(* 1/4 (/ y x))
(* -1 (/ (+ (* -1/4 y) (* 1/4 (/ (* y (- (* 1/4 y) z)) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* y (- (* 1/4 y) z))) (* 1/4 (/ (* y (pow (- (* 1/4 y) z) 2)) x))) x)) (* -1/4 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* y (pow (- (* 1/4 y) z) 2))) (* 1/4 (/ (* y (pow (- (* 1/4 y) z) 3)) x))) x)) (* -1/4 (* y (- (* 1/4 y) z)))) x)) (* -1/4 y)) x))
x
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 1/4 y) z) x)) 1)))
Outputs
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (+.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (+.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (+.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(* 4 (/ z y))
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
(* 4 (/ z y))
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
(* 4 (/ z y))
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
(* 4 (/ z y))
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) z (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) y) #s(literal 1 binary64)))
(* 4 (+ x (* 1/4 y)))
(fma.f64 x #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(+ (* -4 z) (* 4 (+ x (* 1/4 y))))
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y)
(* 2 (sqrt (/ (+ x (* 1/4 y)) y)))
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x
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 y #s(literal 1/4 binary64)) z) x)))

rewrite162.0ms (2.3%)

Memory
19.7MiB live, 208.7MiB allocated
Rules
4 860×lower-*.f32
4 854×lower-*.f64
4 536×lower-/.f32
4 530×lower-/.f64
4 216×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031175
047159
1234157
21713157
08326150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 493
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 #s(literal 4 binary64) y) x))
(*.f64 (/.f64 #s(literal 4 binary64) y) x)
(/.f64 #s(literal 4 binary64) y)
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
(*.f64 (/.f64 #s(literal 4 binary64) y) z)
(fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))
(/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)
Outputs
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eval282.0ms (4%)

Memory
-12.3MiB live, 433.5MiB allocated
Compiler

Compiled 35 273 to 3 275 computations (90.7% saved)

prune41.0ms (0.6%)

Memory
-20.7MiB live, 103.0MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1 36261 368
Fresh303
Picked415
Done000
Total1 36971 376
Accuracy
100.0%
Counts
1 376 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.6%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
67.6%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
▶36.5%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
▶35.1%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
▶74.5%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)))
▶67.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
✓33.4%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 110 to 111 computations (-0.9% saved)

simplify162.0ms (2.3%)

Memory
7.2MiB live, 204.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z y)
cost-diff0
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ (- x z) y) (/.f64 x y))
cost-diff0
(fma.f64 #s(approx (/ (- x z) y) (/.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 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 (/.f64 z y) #s(literal -4 binary64))
cost-diff0
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 4 binary64))
cost-diff0
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
cost-diff0
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y 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 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)))
cost-diff320
(*.f64 #s(literal 1 binary64) y)
cost-diff2048
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
Rules
17 450×lower-fma.f32
17 444×lower-fma.f64
4 200×lower-*.f32
4 190×lower-*.f64
2 540×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044291
059239
1119239
2298211
3873199
43507184
57395184
08034184
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))
(*.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 y x) z)
(/.f64 y x)
x
z
(*.f64 (/.f64 y x) y)
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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 (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))
#s(approx (/ (- x z) y) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(/.f64 z y)
z
y
#s(literal -4 binary64)
#s(literal 2 binary64)
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 x z) y)
(-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))
(-.f64 y (*.f64 (/.f64 y x) z))
(*.f64 #s(literal 1 binary64) y)
y
#s(literal 1 binary64)
y
(*.f64 (/.f64 y x) z)
(/.f64 y x)
x
z
(*.f64 (/.f64 y x) y)
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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 (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))
#s(approx (/ (- x z) y) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/.f64 z y)
z
y
#s(literal -4 binary64)
#s(literal 2 binary64)

localize182.0ms (2.6%)

Memory
22.2MiB live, 180.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
accuracy0
(/.f64 z y)
accuracy11.194405819782695
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
accuracy0
(fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))
accuracy0
(/.f64 x y)
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy16.68055994737201
#s(approx (/ (- x z) y) (/.f64 x y))
accuracy0
(/.f64 z y)
accuracy0.020195019536884032
(*.f64 (/.f64 z y) #s(literal -4 binary64))
accuracy30.887610675063573
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
accuracy0
(/.f64 x y)
accuracy0.010097509768442016
(*.f64 (/.f64 x y) #s(literal 4 binary64))
accuracy29.72959620415535
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy0.08984375
(*.f64 (/.f64 y x) y)
accuracy4.3527485004141155
(*.f64 (/.f64 y x) z)
accuracy15.449458458607308
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
Samples
140.0ms168×0valid
21.0ms88×0invalid
Compiler

Compiled 237 to 42 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 107.0ms (76.5% of total)
ival-div: 11.0ms (7.9% of total)
ival-add: 11.0ms (7.9% of total)
ival-pow: 5.0ms (3.6% of total)
ival-sub: 4.0ms (2.9% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.8%)

Memory
14.9MiB live, 87.3MiB allocated
Counts
17 → 516
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1 binary64) y) (patch (*.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) #s(literal 4 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 z y) #s(literal -4 binary64)) (patch (*.f64 (/.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x z) y) (/.f64 x y)) (patch #s(approx (/ (- x z) y) (/.f64 x y)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y x) z) (patch (*.f64 (/.f64 y x) z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())
Outputs
#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z y) #s(literal -4 binary64)) (patch (*.f64 (/.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z y) #s(literal -4 binary64)) (patch (*.f64 (/.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z y) #s(literal -4 binary64)) (patch (*.f64 (/.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -4 (/ z y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z y) #s(literal -4 binary64)) (patch (*.f64 (/.f64 z y) #s(literal -4 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) z) (patch (*.f64 (/.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) z) (patch (*.f64 (/.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) z) (patch (*.f64 (/.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
14.0ms
y
@0
((/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) (* 1 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ x y) 4) (/ x y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (+ (* (/ z y) -4) 2) (* (/ y x) z) (* (/ y x) y))
4.0ms
y
@-inf
((/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) (* 1 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ x y) 4) (/ x y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (+ (* (/ z y) -4) 2) (* (/ y x) z) (* (/ y x) y))
3.0ms
x
@-inf
((/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) (* 1 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ x y) 4) (/ x y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (+ (* (/ z y) -4) 2) (* (/ y x) z) (* (/ y x) y))
3.0ms
y
@inf
((/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) (* 1 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ x y) 4) (/ x y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (+ (* (/ z y) -4) 2) (* (/ y x) z) (* (/ y x) y))
3.0ms
z
@-inf
((/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) (* 1 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- (* 1 y) (* (/ y x) z)) (* (/ y x) y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ x y) 4) (/ x y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (+ (* (/ z y) -4) 2) (* (/ y x) z) (* (/ y x) y))

simplify182.0ms (2.6%)

Memory
0.3MiB live, 200.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 120×lower-fma.f64
9 120×lower-fma.f32
3 270×lower-*.f64
3 270×lower-*.f32
2 132×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01424164
13993984
210993372
330643317
474463302
085453066
Stop Event
1×iter limit
1×node limit
Counts
516 → 504
Calls
Call 1
Inputs
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z)))))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* x (- 1 (/ z x))) y)
(/ (* x (- 1 (/ z x))) y)
(/ (* x (- 1 (/ z x))) y)
(/ (* x (- 1 (/ z x))) y)
y
y
y
y
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ (* x (- 1 (/ z x))) y))
(/ (+ (* 2 y) (* 4 (* x (- 1 (/ z x))))) y)
(/ (+ (* 2 y) (* 4 (* x (- 1 (/ z x))))) y)
(/ (+ (* 2 y) (* 4 (* x (- 1 (/ z x))))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* -4 (/ z y))
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (+ (* -4 z) (* 2 y)) y)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (* x (- 1 (/ z x))) y)
(/ (* x (- 1 (/ z x))) y)
(/ (* x (- 1 (/ z x))) y)
(/ (* x (- 1 (/ z x))) y)
y
y
y
y
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (* x (- 1 (/ z x))) y)))
(+ 2 (* 4 (/ (* x (- 1 (/ z x))) y)))
(+ 2 (* 4 (/ (* x (- 1 (/ z x))) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (* x (+ 1 (* -1 (/ z x)))) y)
(/ (* x (+ 1 (* -1 (/ z x)))) y)
(/ (* x (+ 1 (* -1 (/ z x)))) y)
(/ (* x (+ 1 (* -1 (/ z x)))) y)
y
y
y
y
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (* x (+ 1 (* -1 (/ z x)))) y)))
(+ 2 (* 4 (/ (* x (+ 1 (* -1 (/ z x)))) y)))
(+ 2 (* 4 (/ (* x (+ 1 (* -1 (/ z x)))) y)))
(+ 1 (* -1/4 (pow (sqrt -4) 2)))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(+ 1 (* -1/4 (pow (sqrt -4) 2)))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(* -4 (/ z y))
(/ z y)
(/ z y)
(/ z y)
(/ z y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(+ 1 (* -1/4 (pow (sqrt -4) 2)))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
2
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(+ 2 (* -4 (/ z y)))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 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))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 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))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(* 4 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (* y z) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
Outputs
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) y) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))
2
#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)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 2 (* -4 (/ z y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #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 (- (* 2 (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 #s(literal -4 binary64) (/.f64 z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
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(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x 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 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #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 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x 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 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #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 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x 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 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(/ x y)
(/.f64 x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(fma.f64 (-.f64 z x) (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (* y z) x)
(/.f64 (*.f64 z y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)

rewrite575.0ms (8.1%)

Memory
-9.6MiB live, 193.2MiB allocated
Rules
5 432×lower-*.f32
5 422×lower-*.f64
3 916×lower-fma.f32
3 910×lower-fma.f64
3 880×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044253
059203
1301173
22313173
08548163
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 406
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y))
(*.f64 #s(literal 1 binary64) y)
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
(*.f64 (/.f64 x y) #s(literal 4 binary64))
(/.f64 x y)
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))
#s(approx (/ (- x z) y) (/.f64 x y))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))
(*.f64 (/.f64 y x) z)
(*.f64 (/.f64 y x) y)
Outputs
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eval149.0ms (2.1%)

Memory
23.3MiB live, 252.8MiB allocated
Compiler

Compiled 13 615 to 2 003 computations (85.3% saved)

prune79.0ms (1.1%)

Memory
5.6MiB live, 159.6MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 01511 016
Fresh011
Picked145
Done011
Total1 01671 023
Accuracy
100.0%
Counts
1 023 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.6%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
▶67.6%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓36.5%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓35.1%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
▶87.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
✓67.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
✓33.4%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 52 to 56 computations (-7.7% saved)

simplify251.0ms (3.5%)

Memory
-9.8MiB live, 154.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 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 (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
cost-diff0
(fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y 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 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
cost-diff704
(-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y))
cost-diff1024
(/.f64 y (*.f64 (/.f64 y x) y))
Rules
9 774×lower-fma.f32
9 772×lower-fma.f64
4 468×lower-*.f32
4 464×lower-*.f64
1 790×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033132
043124
182124
2135114
326190
454984
5203684
6557184
0827784
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y))
(/.f64 y (*.f64 (/.f64 y x) y))
y
(*.f64 (/.f64 y x) y)
(/.f64 y x)
x
(/.f64 z y)
z
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y))
(/.f64 (-.f64 x z) y)
(/.f64 y (*.f64 (/.f64 y x) y))
(/.f64 x y)
y
(*.f64 (/.f64 y x) y)
(/.f64 y x)
x
(/.f64 z y)
z
#s(literal 4 binary64)
#s(literal 2 binary64)
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)))
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x))
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
#s(literal 4 binary64)

localize132.0ms (1.9%)

Memory
-9.6MiB live, 120.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x z)
accuracy0.00390625
(/.f64 (-.f64 x z) y)
accuracy0.006191259768442017
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))
accuracy20.505048448441627
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
accuracy0
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
accuracy0.00390625
(-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y))
accuracy0.08984375
(*.f64 (/.f64 y x) y)
accuracy10.81984709921475
(/.f64 y (*.f64 (/.f64 y x) y))
Samples
83.0ms168×0valid
35.0ms88×0invalid
Compiler

Compiled 112 to 34 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 15.0ms (36.7% of total)
ival-div: 10.0ms (24.5% of total)
ival-add: 6.0ms (14.7% of total)
ival-pow: 5.0ms (12.2% of total)
ival-sub: 4.0ms (9.8% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.7%)

Memory
-28.1MiB live, 55.8MiB allocated
Counts
9 → 288
Calls
Call 1
Inputs
#s(alt (/.f64 y (*.f64 (/.f64 y x) y)) (patch (/.f64 y (*.f64 (/.f64 y x) y)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) (patch (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (patch #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) (patch (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())
Outputs
#s(alt (/ x y) (taylor 0 z) (#s(alt (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) (patch (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) (patch (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) (patch (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) (patch (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) (taylor 0 z) (#s(alt #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) (patch #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 4 (/ x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) (patch (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
#s(alt (/ (pow y 2) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 y x) y) (patch (*.f64 (/.f64 y x) y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
((/ y (* (/ y x) y)) (- (/ y (* (/ y x) y)) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ y (* (/ y x) y)) (/ z y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (/ y x) y))
2.0ms
y
@-inf
((/ y (* (/ y x) y)) (- (/ y (* (/ y x) y)) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ y (* (/ y x) y)) (/ z y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (/ y x) y))
2.0ms
x
@-inf
((/ y (* (/ y x) y)) (- (/ y (* (/ y x) y)) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ y (* (/ y x) y)) (/ z y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (/ y x) y))
2.0ms
y
@inf
((/ y (* (/ y x) y)) (- (/ y (* (/ y x) y)) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ y (* (/ y x) y)) (/ z y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (/ y x) y))
2.0ms
y
@0
((/ y (* (/ y x) y)) (- (/ y (* (/ y x) y)) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ y (* (/ y x) y)) (/ z y)) 4) 2) (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z) (* (/ y x) y))

simplify197.0ms (2.8%)

Memory
37.2MiB live, 145.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 728×lower-fma.f64
7 728×lower-fma.f32
3 168×lower-*.f64
3 168×lower-*.f32
1 928×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532445
14522445
213142301
341682079
470751713
081261626
Stop Event
1×iter limit
1×node limit
Counts
288 → 285
Calls
Call 1
Inputs
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 2 (* 4 (/ x y)))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(* 4 (/ x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(* -4 (/ z y))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
(* -4 (/ z y))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y)))))
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(/ (+ (* 2 y) (* 4 (- x z))) y)
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
(* -1 (/ (- (* -1 x) (* -1 z)) y))
2
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
(+ 2 (* 4 (/ (- x z) y)))
2
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y)))
(+ 1 (* -1/4 (pow (sqrt -4) 2)))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(+ 1 (+ (* -1 (/ (* (pow (sqrt -4) 2) (- x z)) y)) (* -1/4 (pow (sqrt -4) 2))))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(* 4 (/ (- x z) y))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (/ z y))
(- (/ x y) (/ z y))
(- (/ x y) (/ z y))
(- (/ x y) (/ z y))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 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))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(+ 1 (* 4 (/ (- (* 1/4 y) z) y)))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))))
(* -4 (/ z y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(* -1 (/ z y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* -1 z)
(- x z)
(- x z)
(- x z)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y)))))
(* 4 (/ x y))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y)))))
(/ x y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
Outputs
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (* 4 (/ x y)))
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #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 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* 4 (/ x y))
(*.f64 #s(literal 4 binary64) (/.f64 x y))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(+ (* -4 (/ z y)) (* 4 (/ x y)))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(/ x y)
(/.f64 x y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
(+ (* -1 (/ z y)) (/ x y))
(/.f64 (-.f64 x z) y)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* -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 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y))))
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))
(* -4 (/ z y))
(*.f64 (/.f64 #s(literal -4 binary64) y) z)
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y))))
(*.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64))
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* z (- (/ x (* y z)) (/ 1 y)))
(/.f64 (-.f64 x z) y)
(* -1 z)
(neg.f64 z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 (/ z y))
(/.f64 (neg.f64 z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -4 (/ z y))
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(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y)))))
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(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
(* -1 (* x (- (/ z (* x y)) (/ 1 y))))
(/.f64 (-.f64 x z) y)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)

rewrite240.0ms (3.4%)

Memory
-13.4MiB live, 264.3MiB allocated
Rules
7 062×lower-fma.f32
7 060×lower-fma.f64
4 586×lower-/.f32
4 578×lower-/.f64
3 956×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033117
043103
124195
2198695
0864791
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 298
Calls
Call 1
Inputs
(/.f64 y (*.f64 (/.f64 y x) y))
(-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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)
(*.f64 (/.f64 y x) y)
Outputs
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eval145.0ms (2%)

Memory
-26.9MiB live, 195.3MiB allocated
Compiler

Compiled 10 053 to 1 449 computations (85.6% saved)

prune48.0ms (0.7%)

Memory
0.1MiB live, 51.0MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New5830583
Fresh000
Picked022
Done055
Total5837590
Accuracy
100.0%
Counts
590 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.6%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
✓67.6%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
✓36.5%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
✓35.1%
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
✓87.8%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 y (*.f64 (/.f64 y x) y)) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)))
✓67.3%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
✓33.4%
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
Compiler

Compiled 207 to 121 computations (41.5% saved)

regimes53.0ms (0.7%)

Memory
6.2MiB live, 43.7MiB allocated
Counts
16 → 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 #s(literal 4 binary64) y) x))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z 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)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
#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 y (*.f64 (/.f64 y 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 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z)) (*.f64 (/.f64 y x) y)) #s(literal 4 binary64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) #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:

32.0ms
z
5.0ms
y
5.0ms
x
5.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
5.0ms
(+.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
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)

regimes29.0ms (0.4%)

Memory
-1.0MiB live, 35.2MiB allocated
Counts
11 → 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 #s(literal 4 binary64) y) x))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z 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)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) y) z)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))
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(approx (/ (- x z) y) (/.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)))
Calls

5 calls:

13.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(+.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
91.0%4x
92.2%3y
90.2%4z
99.6%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
99.6%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)

regimes25.0ms (0.3%)

Memory
-16.4MiB live, 22.1MiB 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 #s(literal 4 binary64) y) x))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
Calls

4 calls:

16.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
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))
Results
AccuracySegmentsBranch
89.3%3x
76.6%3y
74.1%3(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
74.1%3(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes6.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB 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 #s(literal 4 binary64) y) x))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
Outputs
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
z
Results
AccuracySegmentsBranch
83.5%3z
74.5%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes12.0ms (0.2%)

Memory
24.0MiB live, 24.0MiB allocated
Counts
5 → 4
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 #s(literal 4 binary64) y) x))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
Outputs
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64)))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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))
Calls

5 calls:

2.0ms
z
2.0ms
y
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
70.6%4(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
70.6%4(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)
64.2%6x
62.0%4y
61.7%5z
Compiler

Compiled 27 to 31 computations (-14.8% saved)

regimes51.0ms (0.7%)

Memory
-40.1MiB live, 4.6MiB allocated
Counts
4 → 4
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 #s(literal 4 binary64) y) x))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 x y) #s(literal 4 binary64)))
Outputs
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))
#s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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))
Calls

2 calls:

49.0ms
(/.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
70.6%4(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
70.6%4(/.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)

regimes4.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
3 → 4
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 #s(literal 4 binary64) y) x))
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) x))
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z))
Calls

2 calls:

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
70.5%4(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
70.5%4(/.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
2.9MiB live, 2.9MiB 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
7.2MiB live, 7.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
z
1.0ms
y
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
33.4%1z
33.4%1x
33.4%1y
33.4%1(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y))
33.4%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
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
443.9547180577328
2.4071281271779106e+29
0.0ms
-4.932275229033665
0.9458785072192996
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch68.0ms (1%)

Memory
1.9MiB live, 40.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
56.0ms
6.809174085138722e+45
3.4831105854700353e+58
8.0ms
-2.650779915114632e+30
-1.1320411168340212e+30
Samples
55.0ms240×0valid
Compiler

Compiled 241 to 303 computations (-25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 44.0ms (89.6% of total)
ival-div: 2.0ms (4.1% of total)
ival-add: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (0.9%)

Memory
-7.4MiB live, 30.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
58.0ms
1.1302988041128324e+97
5.934313682504881e+111
2.0ms
-3.477392013180371e+154
-3.1928240738557725e+154
Samples
53.0ms176×0valid
Compiler

Compiled 170 to 216 computations (-27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 44.0ms (91% of total)
ival-add: 2.0ms (4.1% of total)
ival-sub: 1.0ms (2.1% of total)
ival-div: 1.0ms (2.1% 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
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
8.855350849862844e+240
1.2123766665030053e+251
0.0ms
1.2024156011795932
258.3062181468761
0.0ms
-4.932275229033665
0.9458785072192996
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
8.855350849862844e+240
1.2123766665030053e+251
0.0ms
1.2024156011795932
258.3062181468761
0.0ms
-4.932275229033665
0.9458785072192996
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
8.855350849862844e+240
1.2123766665030053e+251
0.0ms
1.2024156011795932
258.3062181468761
0.0ms
-4.932275229033665
0.9458785072192996
Compiler

Compiled 16 to 18 computations (-12.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.5098270483457914e+36
5.5581655578464675e+41
0.0ms
-4.932275229033665
0.9458785072192996
Compiler

Compiled 16 to 18 computations (-12.5% saved)

simplify73.0ms (1%)

Memory
17.5MiB live, 55.4MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-commutative-binary64-*.f64
8×+-commutative-binary64-+.f64
6×sub-neg-binary64-neg.f64-+.f64--.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085804
199804
2104804
3106804
4107804
Stop Event
1×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 -4 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 500 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.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)))))
(if (<=.f64 x #s(literal -2399999999999999935133108928512 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 10999999999999999925430435417977907741078792861384704 binary64)) #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64)))))
(if (<=.f64 z #s(literal -33999999999999997385945714264732131596311799179418596210267929689480641054901534033468063226777126186016033121888357170920470762342405313696510302276812800 binary64)) #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 z #s(literal 4500000000000000104106599276485044606805189716882965349475196768787968707487032965312186079393219558244352 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 4 binary64) #s(literal 2 binary64))) #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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 -4 binary64)) #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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 2 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 10000000000000000509610295637002728139855252735311366616309601643306774209564163318419090863889067021760658106681756277614179911327452208591182514380241927357631043882428148314438094801465785761804352561506118922744139467759619125060885807104 binary64)) #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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)))))
(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)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000509610295637002728139855252735311366616309601643306774209564163318419090863889067021760658106681756277614179911327452208591182514380241927357631043882428148314438094801465785761804352561506118922744139467759619125060885807104 binary64)) #s(approx (+ (* (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2) (pow (/ y (* (- (+ (* 1/4 y) x) z) 4)) -1/2)) 1) (*.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)))))
(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)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 10000000000000000509610295637002728139855252735311366616309601643306774209564163318419090863889067021760658106681756277614179911327452208591182514380241927357631043882428148314438094801465785761804352561506118922744139467759619125060885807104 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) #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)) (*.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 4999999999999999769381329101060571136 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 -4 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 500 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.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)))))
(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)) (*.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 500 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (/ (- x z) y) (/.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)))))
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#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64))

soundness884.0ms (12.4%)

Memory
5.6MiB live, 525.2MiB allocated
Rules
13 138×lower-fma.f64
13 138×lower-fma.f32
10 436×lower-fma.f64
10 436×lower-fma.f32
6 902×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06346236
118275989
255035799
083105390
01471602
14401467
212121396
348151240
082821105
01245
01845
17445
262945
0848039
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 510 to 256 computations (49.8% saved)

preprocess59.0ms (0.8%)

Memory
-1.1MiB live, 152.3MiB allocated
Compiler

Compiled 726 to 158 computations (78.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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