Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze41.0ms (0.5%)

Memory
6.5MiB live, 79.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (14.3%)

Memory
21.5MiB live, 1 085.3MiB allocated
Samples
634.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 349.0ms
ival-div: 163.0ms (46.6% of total)
ival-sub: 80.0ms (22.9% of total)
ival-mult: 52.0ms (14.9% of total)
ival-add: 40.0ms (11.4% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain84.0ms (1.1%)

Memory
-6.0MiB live, 122.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
240-0-(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (-.f64 y z) #s(literal 1 binary64))
00-0-(-.f64 y z)
00-0-z
00-0-(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)o/n240
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))overflow41
Confusion
Predicted +Predicted -
+240
-0232
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2400
-00232
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0232
124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms510×0valid
0.0ms1valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 9.0ms (47.3% of total)
ival-div: 3.0ms (15.8% of total)
ival-mult: 3.0ms (15.8% of total)
ival-add: 2.0ms (10.5% 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)

preprocess356.0ms (4.8%)

Memory
33.0MiB live, 267.3MiB allocated
Algorithm
egg-herbie
Rules
14 244×lower-fma.f64
14 244×lower-fma.f32
3 296×lower-/.f32
3 294×lower-/.f64
2 676×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492
113586
241983
3182681
4508181
5750081
089
0129
1289
2579
31479
43339
57509
616299
728669
842929
950879
1056049
1156819
1257119
1357159
1458079
1559939
1660279
1760439
1861479
1964539
2064659
2164659
086038
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify291.0ms (3.9%)

Memory
-25.8MiB live, 168.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
cost-diff128
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
Rules
14 244×lower-fma.f64
14 244×lower-fma.f32
3 296×lower-/.f32
3 294×lower-/.f64
2 676×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12828
25728
314728
433328
575028
6162928
7286628
8429228
9508728
10560428
11568128
12571128
13571528
14580728
15599328
16602728
17604328
18614728
19645328
20646528
21646528
0860326
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) x x)
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)

localize46.0ms (0.6%)

Memory
5.4MiB live, 51.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y z)
accuracy0.00390625
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy0.0234375
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy5.68769936839198
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Samples
13.0ms255×0valid
0.0ms1valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.5% of total)
ival-mult: 2.0ms (32.5% of total)
ival-add: 1.0ms (16.2% of total)
ival-sub: 1.0ms (16.2% 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)

series10.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ 1 (* -1 (/ y z))))) (taylor -inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x (- 1 z))) (taylor 0 y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- 1 z)) z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (- 1 z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 y) z) (taylor 0 y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (- y z) (taylor 0 y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* x (- 1 z)) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z)))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ 1 y)) (/ z y))) (taylor inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ z y)))) (taylor inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z)))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1))) (taylor -inf y) (#s(alt (+.f64 (-.f64 y z) #s(literal 1 binary64)) (patch (+.f64 (-.f64 y z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ z y) 1))) (taylor -inf y) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) (patch (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (patch (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify142.0ms (1.9%)

Memory
-3.1MiB live, 71.1MiB allocated
Algorithm
egg-herbie
Rules
7 342×lower-fma.f64
7 342×lower-fma.f32
2 540×lower-*.f64
2 540×lower-*.f32
1 510×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082877
1263697
2804697
32502696
45584695
08285633
Stop Event
iter limit
node limit
Counts
120 → 115
Calls
Call 1
Inputs
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(- y z)
(- y z)
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
Outputs
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)

rewrite373.0ms (5%)

Memory
-22.4MiB live, 112.2MiB allocated
Rules
3 876×lower-*.f32
3 874×lower-*.f64
3 848×lower-fma.f64
3 848×lower-fma.f32
3 200×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15924
245224
3743724
0853222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 378
Calls
Call 1
Inputs
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
Outputs
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eval147.0ms (2%)

Memory
2.6MiB live, 76.7MiB allocated
Compiler

Compiled 9 010 to 1 423 computations (84.2% saved)

prune126.0ms (1.7%)

Memory
-8.5MiB live, 39.6MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New48112493
Fresh000
Picked101
Done000
Total48212494
Accuracy
100.0%
Counts
494 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
91.0%
(/.f64 (*.f64 x (fma.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal 1 binary64))) z)
65.8%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
61.6%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
65.8%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
35.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
97.0%
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
96.5%
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
91.0%
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 y z) x x)))
68.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
36.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
34.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 198 to 176 computations (11.1% saved)

simplify381.0ms (5.1%)

Memory
22.6MiB live, 97.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal -1 binary64))
cost-diff0
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
cost-diff0
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
cost-diff0
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
cost-diff0
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
cost-diff0
(-.f64 y z)
cost-diff0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
cost-diff0
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
cost-diff512
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
Rules
9 336×lower-fma.f32
9 334×lower-fma.f64
2 184×lower-*.f32
2 180×lower-*.f64
1 736×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025142
038142
173142
2121142
3250142
4504142
51114139
63127139
75325139
86523139
96855139
106932139
116962139
126971139
137075139
147377139
157420139
167440139
177456139
187484139
197568139
207838139
217848139
08242137
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
x
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
z
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
x
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
z
Outputs
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
x
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
z
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z))
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
(*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) x)
x
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
z

localize63.0ms (0.9%)

Memory
-6.6MiB live, 110.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal -1 binary64))
accuracy0.0234375
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
accuracy5.68769936839198
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
accuracy21.467726637956538
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
accuracy0
(fma.f64 y x x)
accuracy5.68769936839198
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
accuracy20.820631873828567
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
accuracy0
(/.f64 x z)
accuracy6.392980601524788
(*.f64 (/.f64 x z) y)
accuracy40.735332848972135
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
accuracy0
(neg.f64 x)
accuracy41.76007390294437
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
accuracy0
(-.f64 y z)
accuracy0.00390625
(-.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy0.0078125
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
accuracy1.9224347787329004
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
Samples
36.0ms255×0valid
0.0ms1valid
Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 6.0ms (29.5% of total)
ival-mult: 6.0ms (29.5% of total)
ival-sub: 4.0ms (19.7% of total)
ival-add: 2.0ms (9.8% of total)
ival-neg: 1.0ms (4.9% 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)

series29.0ms (0.4%)

Memory
10.6MiB live, 48.9MiB allocated
Counts
16 → 456
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<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 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal -1 binary64)) (patch (-.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ z (+ 1 y)) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))) (taylor 0 z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (patch #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (patch #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 y) z)) 1) (taylor inf z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) (taylor inf z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) (taylor inf z) (#s(alt (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1))
3.0ms
z
@inf
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1))
2.0ms
z
@-inf
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1))
2.0ms
z
@0
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1))
1.0ms
y
@-inf
((/ x (/ z (- (- y z) -1))) (/ z (- (- y z) -1)) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1))

simplify150.0ms (2%)

Memory
7.1MiB live, 199.8MiB allocated
Algorithm
egg-herbie
Rules
12 738×lower-fma.f64
12 738×lower-fma.f32
4 260×lower-*.f64
4 260×lower-*.f32
2 388×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02093704
16633056
219673033
367743017
082942765
Stop Event
iter limit
node limit
Counts
456 → 446
Calls
Call 1
Inputs
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(- y z)
(- y z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ z y)
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
Outputs
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z (+ 1 y))
(/.f64 z (-.f64 y #s(literal -1 binary64)))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)) z) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z) (-.f64 y #s(literal -1 binary64))) z) #s(literal 1 binary64))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (* x (- 1 z)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z (- 1 z))
(/.f64 z (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(fma.f64 (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(/ (* x (- 1 z)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- 1 z)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x (- 1 z)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(/ (* x (- 1 z)) z)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z y) z) y)
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rewrite167.0ms (2.2%)

Memory
-5.0MiB live, 233.9MiB allocated
Rules
4 736×lower-fma.f32
4 734×lower-fma.f64
3 710×lower-*.f32
3 706×lower-*.f64
3 540×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025127
038127
1158127
21070127
08644122
Stop Event
iter limit
node limit
iter limit
Counts
16 → 673
Calls
Call 1
Inputs
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
Outputs
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eval127.0ms (1.7%)

Memory
21.8MiB live, 251.4MiB allocated
Compiler

Compiled 15 696 to 2 177 computations (86.1% saved)

prune34.0ms (0.5%)

Memory
-5.0MiB live, 75.0MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1 11541 119
Fresh257
Picked145
Done000
Total1 118131 131
Accuracy
100.0%
Counts
1 131 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
65.8%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
61.6%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
65.8%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
35.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
33.4%
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
96.5%
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
24.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
36.6%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
68.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
32.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
36.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
34.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 148 to 143 computations (3.4% saved)

simplify120.0ms (1.6%)

Memory
12.7MiB live, 85.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 z x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
cost-diff384
(/.f64 y (/.f64 z x))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))
cost-diff0
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
cost-diff0
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 (/.f64 x z) x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
cost-diff0
(-.f64 y z)
cost-diff0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
cost-diff128
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
Rules
7 632×lower-fma.f64
7 632×lower-fma.f32
2 612×lower-*.f32
2 606×lower-*.f64
1 616×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026148
039148
174148
2113148
3253148
4506148
51266148
63223148
74946148
85834148
96861148
08326143
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#s(literal -1 binary64)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))
x
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
Outputs
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#s(literal -1 binary64)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
#s(approx (* x (+ (- y z) 1)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
z
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))
(*.f64 #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) x)
x
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 x z) y)
y
(/.f64 z x)
z
x

localize67.0ms (0.9%)

Memory
-18.5MiB live, 68.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 z x)
accuracy6.538590033938485
(/.f64 y (/.f64 z x))
accuracy40.735332848972135
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0.0234375
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))
accuracy5.68769936839198
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
accuracy21.02130441610918
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))
accuracy0
(*.f64 y x)
accuracy5.68769936839198
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
accuracy41.249676926869654
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
accuracy0
(/.f64 x z)
accuracy0.01953125
(-.f64 (/.f64 x z) x)
accuracy19.8655078743298
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
accuracy0
(-.f64 y z)
accuracy0.00390625
(-.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy0.0078125
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
accuracy2.268021003113977
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
Samples
43.0ms255×0valid
0.0ms1valid
Compiler

Compiled 118 to 20 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 12.0ms (39.8% of total)
ival-sub: 12.0ms (39.8% of total)
ival-mult: 5.0ms (16.6% of total)
ival-add: 1.0ms (3.3% 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)

series31.0ms (0.4%)

Memory
11.3MiB live, 47.5MiB allocated
Counts
17 → 492
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())
#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ y (* -1 z))) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 z)) (taylor 0 z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ x (* -1 (* x z))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (patch #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 y)) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x z)) (* x (+ 1 y))) (taylor 0 z) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ y (* -1 z))) (taylor 0 z) (#s(alt #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (+ 1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) (patch (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 z) (/ y z)) 1) (taylor inf z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 z) (/ y z)) 1) (taylor inf z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (- (+ (/ 1 z) (/ y z)) 1) (taylor inf z) (#s(alt (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) (patch (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ 1 z) (/ y z)) 1)) (taylor inf z) (#s(alt (-.f64 (-.f64 y z) #s(literal -1 binary64)) (patch (-.f64 (-.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* z (- (/ y z) 1)) (taylor inf z) (#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 x) (/ (* x (+ 1 y)) z)) (taylor inf z) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (- (/ x z) x) (taylor inf z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
#s(alt (- (/ x z) x) (taylor inf z) (#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) (patch (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 y) z)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) (patch (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x))
4.0ms
y
@-inf
((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x))
2.0ms
x
@-inf
((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x))
2.0ms
z
@-inf
((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x))
1.0ms
z
@0
((* (/ (- (- y z) -1) z) x) (/ (- (- y z) -1) z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- 1 z) (/ y (/ z x)) (/ (* x (+ (- y z) 1)) z) (/ z x))

simplify154.0ms (2.1%)

Memory
-1.4MiB live, 192.0MiB allocated
Algorithm
egg-herbie
Rules
11 432×lower-fma.f64
11 432×lower-fma.f32
3 088×lower-*.f64
3 088×lower-*.f32
1 850×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01063607
13232951
29782899
330552899
455812899
080782682
Stop Event
iter limit
node limit
Counts
492 → 485
Calls
Call 1
Inputs
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(- y z)
(- y z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
Outputs
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ 1 y) z)
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (- 1 z) z)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
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(/ (* x (- (+ 1 y) z)) z)
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(/ z x)
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(fma.f64 (-.f64 y z) x x)
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(/ (* x (- (+ 1 y) z)) z)
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(/ (* x (- (+ 1 y) z)) z)
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(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)

rewrite131.0ms (1.8%)

Memory
14.7MiB live, 173.7MiB allocated
Rules
3 940×lower-/.f32
3 928×lower-/.f64
3 626×lower-fma.f64
3 626×lower-fma.f32
3 592×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026133
039133
1161133
21102133
08708128
Stop Event
iter limit
node limit
iter limit
Counts
17 → 547
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z)))
#s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))
(-.f64 #s(literal 1 binary64) z)
(/.f64 y (/.f64 z x))
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(/.f64 z x)
Outputs
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eval179.0ms (2.4%)

Memory
4.7MiB live, 206.3MiB allocated
Compiler

Compiled 13 697 to 1 993 computations (85.4% saved)

prune31.0ms (0.4%)

Memory
7.9MiB live, 79.9MiB allocated
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New1 02931 032
Fresh134
Picked055
Done044
Total1 030151 045
Accuracy
100.0%
Counts
1 045 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
65.8%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
61.6%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
65.8%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
35.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
33.4%
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
96.5%
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
32.9%
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
24.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
36.6%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
68.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
36.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
68.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
34.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
36.6%
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
Compiler

Compiled 139 to 137 computations (1.4% saved)

simplify109.0ms (1.5%)

Memory
-11.1MiB live, 110.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
cost-diff128
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
cost-diff1024
(/.f64 (*.f64 (neg.f64 x) x) x)
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (- (- y z) -1) z) (/.f64 y z))
cost-diff0
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
cost-diff0
(/.f64 x z)
cost-diff0
#s(approx (- (/ x z) x) (/.f64 x z))
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
cost-diff0
(-.f64 y z)
cost-diff0
(fma.f64 (-.f64 y z) x x)
cost-diff0
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Rules
8 618×lower-fma.f32
8 614×lower-fma.f64
3 116×lower-*.f32
3 112×lower-*.f64
1 914×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030148
044149
185137
2164132
3448132
41578132
54662132
08120132
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (- (/ x z) x) (/.f64 x z))
(/.f64 x z)
x
z
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
#s(approx (/ (- (- y z) -1) z) (/.f64 y z))
(/.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (- (/ x z) x) (/.f64 x z))
(/.f64 x z)
x
z
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
#s(approx (/ (- (- y z) -1) z) (/.f64 y z))
(/.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(neg.f64 x)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))
(-.f64 (/.f64 x z) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
(-.f64 x (/.f64 x z))
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
x

localize89.0ms (1.2%)

Memory
-4.6MiB live, 110.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) z)
accuracy0
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))
accuracy0.12109375
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
accuracy19.8655078743298
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
accuracy0
(*.f64 (neg.f64 x) x)
accuracy0
(neg.f64 x)
accuracy30.231510169003197
(/.f64 (*.f64 (neg.f64 x) x) x)
accuracy41.76007390294437
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
accuracy0
(/.f64 y z)
accuracy2.268021003113977
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
accuracy42.004076585727034
#s(approx (/ (- (- y z) -1) z) (/.f64 y z))
accuracy0
(/.f64 x z)
accuracy19.8655078743298
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
accuracy29.154346633601207
#s(approx (- (/ x z) x) (/.f64 x z))
accuracy0
(-.f64 y z)
accuracy0.01171875
(fma.f64 (-.f64 y z) x x)
accuracy5.68769936839198
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Samples
45.0ms256×0valid
Compiler

Compiled 117 to 27 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 11.0ms (34.6% of total)
ival-sub: 7.0ms (22% of total)
ival-mult: 7.0ms (22% of total)
ival-add: 3.0ms (9.4% of total)
ival-neg: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.4%)

Memory
20.8MiB live, 58.2MiB allocated
Counts
17 → 432
Calls
Call 1
Inputs
#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) (patch #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())
#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
Outputs
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#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (* -1 (- y z)) 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (-.f64 y z) x x) z) (patch (/.f64 (fma.f64 (-.f64 y z) x x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (- y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y z) x x) (patch (fma.f64 (-.f64 y z) x x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (- (/ x z) x) (/.f64 x z)) (patch #s(approx (- (/ x z) x) (/.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (neg.f64 x) x) x) (patch (/.f64 (*.f64 (neg.f64 x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 z)))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) (patch (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (+ 1 y) z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) (patch #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify134.0ms (1.8%)

Memory
14.0MiB live, 203.8MiB allocated
Algorithm
egg-herbie
Rules
8 200×lower-fma.f64
8 200×lower-fma.f32
3 172×lower-*.f64
3 172×lower-*.f32
1 352×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253325
13792704
211762568
337252568
470542568
080842376
Stop Event
iter limit
node limit
Counts
432 → 427
Calls
Call 1
Inputs
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* -1 (/ x z))
(/ (+ (* -1 x) (* x z)) z)
(/ (+ (* -1 x) (* x z)) z)
(/ (+ (* -1 x) (* x z)) z)
(/ x z)
(/ (- (* -1 (* x z)) (* -1 x)) z)
(/ (- (* -1 (* x z)) (* -1 x)) z)
(/ (- (* -1 (* x z)) (* -1 x)) z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(* -1 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* -1 z)
(- y z)
(- y z)
(- y z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* x y)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- (* -1 (- y z)) 1)))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
Outputs
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ x (* x y))
(fma.f64 y x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ 1 y) z)
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(/ (+ 1 (+ y (* -1 z))) z)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(/ (+ 1 (+ y (* -1 z))) z)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (+ (* -1 x) (* x z)) z)
(-.f64 x (/.f64 x z))
(/ (+ (* -1 x) (* x z)) z)
(-.f64 x (/.f64 x z))
(/ (+ (* -1 x) (* x z)) z)
(-.f64 x (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ (- (* -1 (* x z)) (* -1 x)) z)
(-.f64 (/.f64 x z) x)
(/ (- (* -1 (* x z)) (* -1 x)) z)
(-.f64 (/.f64 x z) x)
(/ (- (* -1 (* x z)) (* -1 x)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (+ (/ 1 z) (/ y z)) 1)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(- (+ (/ 1 z) (/ y z)) 1)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(- (+ (/ 1 z) (/ y z)) 1)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
x
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (+ (/ 1 z) (/ y z)) 1)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(- (+ (/ 1 z) (/ y z)) 1)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(- (+ (/ 1 z) (/ y z)) 1)
(-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 1 binary64))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
x
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
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(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)

rewrite484.0ms (6.5%)

Memory
-40.8MiB live, 270.3MiB allocated
Rules
6 168×lower-fma.f32
6 164×lower-fma.f64
4 802×lower-*.f32
4 798×lower-*.f64
4 752×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030136
044137
1185121
21340121
08609121
Stop Event
iter limit
node limit
iter limit
Counts
17 → 766
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (- (/ x z) x) (/.f64 x z))
(/.f64 x z)
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
#s(approx (/ (- (- y z) -1) z) (/.f64 y z))
(/.f64 y z)
(/.f64 (*.f64 (neg.f64 x) x) x)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
(neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
(/.f64 #s(literal -1 binary64) z)
Outputs
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eval292.0ms (3.9%)

Memory
9.3MiB live, 283.0MiB allocated
Compiler

Compiled 16 705 to 2 656 computations (84.1% saved)

prune103.0ms (1.4%)

Memory
-11.1MiB live, 101.3MiB allocated
Pruning

15 alts after pruning (1 fresh and 14 done)

PrunedKeptTotal
New1 19301 193
Fresh011
Picked055
Done099
Total1 193151 208
Accuracy
100.0%
Counts
1 208 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.1%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
65.8%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
61.6%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
65.8%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
35.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
33.4%
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
96.5%
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
32.9%
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
24.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
36.6%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
68.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
36.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
68.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
34.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
36.6%
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
Compiler

Compiled 251 to 163 computations (35.1% saved)

regimes31.0ms (0.4%)

Memory
-1.6MiB live, 51.5MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 y z) x x)))
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (*.f64 x (fma.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (+.f64 z y) #s(literal -1 binary64))) #s(literal 1 binary64))) z)
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64))))
Calls

4 calls:

12.0ms
y
6.0ms
z
6.0ms
x
6.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
99.9%2x
97.0%1y
97.0%1z
99.1%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes9.0ms (0.1%)

Memory
-18.2MiB live, 20.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
(/.f64 x #s(approx (/ z (- (- y z) -1)) (/.f64 z y)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 y z) x x)))
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes21.0ms (0.3%)

Memory
4.0MiB live, 41.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Calls

4 calls:

7.0ms
y
5.0ms
x
5.0ms
z
4.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
96.1%3y
96.0%3z
91.1%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
93.6%2x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes38.0ms (0.5%)

Memory
-2.6MiB live, 36.3MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

4 calls:

4.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
83.3%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
75.8%4x
89.5%3z
87.8%3y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 (*.f64 (neg.f64 x) x) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 (fma.f64 (/.f64 #s(literal -1 binary64) z) x x)))
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 #s(literal 1 binary64) z))) z)
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
89.4%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
Outputs
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
Calls

2 calls:

3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
87.8%3y
68.9%1z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 #s(approx (/ (- (- y z) -1) z) (/.f64 y z)) x)
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
87.7%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
87.1%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.4%)

Memory
-33.6MiB live, 15.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Calls

4 calls:

23.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
68.9%1z
68.9%1x
68.9%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
68.9%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z)))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

4 calls:

2.0ms
z
2.0ms
x
2.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
50.7%3y
55.7%4(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
38.2%2x
67.6%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
34.7%1x
34.7%1y
34.7%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
34.7%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch18.0ms (0.2%)

Memory
-22.0MiB live, 15.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
3.846380630874943e-128
2.9553220245574064e-127
Samples
5.0ms96×0valid
Compiler

Compiled 114 to 110 computations (3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (40.8% of total)
ival-div: 1.0ms (40.8% of total)
ival-mult: 1.0ms (40.8% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
7.598365384045882e-71
1.117965387058317e-70
Samples
2.0ms48×0valid
Compiler

Compiled 63 to 62 computations (1.6% saved)

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

bsearch30.0ms (0.4%)

Memory
4.3MiB live, 41.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.857143945307353e+79
9.315795365802554e+84
15.0ms
-3926.248288186137
-1.6665639213732188e-5
Samples
16.0ms288×0valid
Compiler

Compiled 264 to 266 computations (-0.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (28.5% of total)
ival-div: 2.0ms (28.5% of total)
ival-mult: 2.0ms (28.5% of total)
ival-add: 1.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.7%)

Memory
13.0MiB live, 49.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
1.2722143207857272e+92
2.7657975267637796e+99
9.0ms
-1.1100127084238348e+23
-1.8480857534896983e+21
Samples
12.0ms256×0valid
Compiler

Compiled 188 to 254 computations (-35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.7% of total)
ival-mult: 2.0ms (31.7% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.2722143207857272e+92
2.7657975267637796e+99
1.0ms
-1.1100127084238348e+23
-1.8480857534896983e+21
Compiler

Compiled 172 to 222 computations (-29.1% saved)

bsearch26.0ms (0.3%)

Memory
-16.2MiB live, 28.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.1335131089517342e+105
2.9082387332738412e+107
13.0ms
-6.138939192430687e+69
-5.95249350926312e+67
Samples
11.0ms240×0valid
Compiler

Compiled 192 to 224 computations (-16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.7% of total)
ival-mult: 2.0ms (33.7% of total)
ival-sub: 1.0ms (16.9% of total)
ival-add: 1.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1335131089517342e+105
2.9082387332738412e+107
1.0ms
-6.138939192430687e+69
-5.95249350926312e+67
Compiler

Compiled 192 to 224 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.1335131089517342e+105
2.9082387332738412e+107
1.0ms
-6.138939192430687e+69
-5.95249350926312e+67
Compiler

Compiled 192 to 224 computations (-16.7% saved)

bsearch27.0ms (0.4%)

Memory
-21.6MiB live, 50.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.0019370079516886332
798442.172991191
10.0ms
-3.6511436449852014e-6
-3.0174998212053845e-7
Samples
11.0ms240×0valid
Compiler

Compiled 132 to 209 computations (-58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.4% of total)
ival-sub: 1.0ms (17.2% of total)
ival-add: 1.0ms (17.2% of total)
ival-mult: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify52.0ms (0.7%)

Memory
30.8MiB live, 68.4MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative-binary64-*.f64
14×+-commutative-binary64-+.f64
14×sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074407
190407
2100407
3104407
4106407
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 4146072293388427/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
(if (<=.f64 y #s(literal -2508757194024499/147573952589676412928 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 58999999999999999884059455592240209784669882092320436969278997446872568692736000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z)))
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(if (<=.f64 z #s(literal -8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Outputs
(if (<=.f64 x #s(literal 4146072293388427/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (/.f64 x (/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 6216540455122333/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x))
(if (<=.f64 y #s(literal -2508757194024499/147573952589676412928 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 58999999999999999884059455592240209784669882092320436969278997446872568692736000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z)))
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 (*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 z #s(literal -4700000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 150000000000000006506594546192877910993543998742790896768766068400417521933452166641198563328 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
(if (<=.f64 y #s(literal -60000000000000001957361900288802766384585234656433217926812730916864 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 2849999999999999862230581908325252957465384646421395282854118586972088451127742609259587873948701768548352 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(if (<=.f64 z #s(literal -8500259669165361/2361183241434822606848 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) #s(approx (- (/ x z) x) (/.f64 x z))) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

soundness1.2s (15.7%)

Memory
-3.3MiB live, 747.0MiB allocated
Rules
12 738×lower-fma.f64
12 738×lower-fma.f32
11 432×lower-fma.f64
11 432×lower-fma.f32
7 342×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02093704
16633056
219673033
367743017
082942765
082877
1263697
2804697
32502696
45584695
08285633
01063607
13232951
29782899
330552899
455812899
080782682
0824
01224
15924
245224
3743724
0853222
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 404 to 216 computations (46.5% saved)

preprocess323.0ms (4.3%)

Memory
-18.1MiB live, 269.1MiB allocated
Compiler

Compiled 576 to 216 computations (62.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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