Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample674.0ms (14%)

Memory
19.7MiB live, 1 162.9MiB allocated
Samples
426.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-mult: 117.0ms (53% of total)
ival-sub: 53.0ms (24% of total)
ival-add: 36.0ms (16.3% of total)
ival-true: 7.0ms (3.2% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain85.0ms (1.8%)

Memory
6.6MiB live, 127.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
00-0-y
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))nan-rescue30
(*.f64 (-.f64 #s(literal 1 binary64) x) y)overflow39
(*.f64 x z)overflow35
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54% of total)
ival-sub: 3.0ms (23.2% of total)
ival-add: 2.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess90.0ms (1.9%)

Memory
-0.0MiB live, 75.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03290
18081
218781
353168
4112764
5189763
6227263
7230863
8231263
9231263
089
0129
1199
2299
3529
41078
51557
62467
73967
85587
96287
106307
06306
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 z y) x y)
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
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify24.0ms (0.5%)

Memory
-17.7MiB live, 19.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff448
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
11924
22924
35224
410723
515522
624622
739622
855822
962822
1063022
063021
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
z
Outputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(fma.f64 (-.f64 z y) x y)
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(*.f64 x z)
(*.f64 z x)
z

localize27.0ms (0.6%)

Memory
-2.4MiB live, 41.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 x z)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy0.6992146216604117
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Samples
18.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (46.5% of total)
ival-sub: 2.0ms (31% of total)
ival-add: 1.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())
Outputs
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.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 z) (taylor 0 z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x z) y)) x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x z) y)) x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x z) y)) x)) (taylor inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (+ y (* x (+ z (* -1 y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 x) (#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<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 (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) (patch (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<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>) () ())) ())
Calls

9 calls:

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

simplify115.0ms (2.4%)

Memory
8.1MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057498
1192442
2558442
31392442
43879442
56297442
08009415
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* x z)
(* x z)
(* x z)
(* x z)
Outputs
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 (-.f64 z y) x y)
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 (-.f64 z y) x y)
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 (-.f64 z y) x y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 (-.f64 z y) x y)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 (-.f64 z y) x y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 (-.f64 z y) x y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 (-.f64 z y) x y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 (-.f64 z y) x y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
y
(+ y (* x (+ z (* -1 y))))
(fma.f64 (-.f64 z y) x y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 (-.f64 z y) x y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 (-.f64 z y) x y)
y
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x (+ z (* -1 y)))
(*.f64 (-.f64 z y) x)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 (-.f64 z y) x y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 (-.f64 z y) x y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* -1 (* x (+ y (* -1 z))))
(*.f64 (-.f64 z y) x)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)

rewrite250.0ms (5.2%)

Memory
-26.5MiB live, 336.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
14420
231320
3372820
01250719
Stop Event
iter limit
node limit
iter limit
Counts
4 → 284
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
(*.f64 x z)
Outputs
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eval45.0ms (0.9%)

Memory
20.6MiB live, 136.6MiB allocated
Compiler

Compiled 7 614 to 921 computations (87.9% saved)

prune239.0ms (5%)

Memory
-12.5MiB live, 30.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3744378
Fresh000
Picked101
Done000
Total3754379
Accuracy
100.0%
Counts
379 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
62.5%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
63.5%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
41.3%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify198.0ms (4.1%)

Memory
0.7MiB live, 40.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01898
02498
13598
25286
38586
414886
521086
633886
752686
869386
971486
1071486
071486
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
(*.f64 (-.f64 z y) x)
(-.f64 z y)
z
y
x
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(fma.f64 (-.f64 z y) x y)
(-.f64 z y)
z
y
x
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
(*.f64 (-.f64 z y) x)
(-.f64 z y)
z
y
x
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(fma.f64 (-.f64 z y) x y)
(-.f64 z y)
z
y
x

localize46.0ms (1%)

Memory
10.8MiB live, 88.1MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (-.f64 z y) x y)
accuracy0
(-.f64 z y)
accuracy0
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
accuracy0
(-.f64 z y)
accuracy0.00390625
(*.f64 (-.f64 z y) x)
accuracy23.99545376286146
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy23.335902508839016
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
accuracy0
(*.f64 z x)
accuracy37.59246725263127
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
Samples
37.0ms256×0valid
Compiler

Compiled 78 to 14 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 16.0ms (67.2% of total)
ival-add: 5.0ms (21% of total)
ival-sub: 3.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (1%)

Memory
-13.9MiB live, 76.6MiB allocated
Counts
10 → 300
Calls
Call 1
Inputs
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())
Outputs
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* x y)) (* x z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* x y)) (* x z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (+ y (+ (* -1 (* x y)) (* x z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* y (- 1 x)) z))) (taylor inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z))))) (taylor -inf z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
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#s(alt (* x (- (+ z (/ y x)) y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ z (/ y x)) y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ z (/ y x)) y)) (taylor inf x) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z y) x) (patch (*.f64 (-.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z y) x y) (patch (fma.f64 (-.f64 z y) x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
34.0ms
x
@inf
((+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y))
1.0ms
x
@-inf
((+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y))
1.0ms
z
@-inf
((+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y))
1.0ms
y
@inf
((+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y))
1.0ms
y
@-inf
((+ (* (- 1 x) y) (* x z)) (* z x) (+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (+ (* (- 1 x) y) (* x z)) (+ (* (- z y) x) y))

simplify275.0ms (5.7%)

Memory
25.6MiB live, 141.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131962
13881572
211161572
326691572
453491572
576071572
080321437
Stop Event
iter limit
node limit
Counts
300 → 291
Calls
Call 1
Inputs
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(* x z)
(* x z)
(* x z)
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* -1 (* x y))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(* -1 y)
(- z y)
(- z y)
(- z y)
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ y (* -1 (* x y)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (- x 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(* x z)
(* x z)
(* x z)
(* x z)
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
y
(+ y (* x (- z y)))
(+ y (* x (- z y)))
(+ y (* x (- z y)))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (- z y))
(* x (- (+ z (/ y x)) y))
(* x (- (+ z (/ y x)) y))
(* x (- (+ z (/ y x)) y))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* x (- z y))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
Outputs
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
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(fma.f64 (-.f64 z y) x y)
(* x (- z y))
(*.f64 (-.f64 z y) x)
(* x (- z y))
(*.f64 (-.f64 z y) x)
(* x (- z y))
(*.f64 (-.f64 z y) x)
(* x (- z y))
(*.f64 (-.f64 z y) x)
(* -1 (* x (+ y (* -1 z))))
(*.f64 (-.f64 z y) x)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 (-.f64 z y) x y)
(* x (- z y))
(*.f64 (-.f64 z y) x)
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 (-.f64 z y) x y)
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 (-.f64 z y) x y)

rewrite215.0ms (4.5%)

Memory
-21.4MiB live, 247.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01884
02484
18284
257972
3737772
0846072
Stop Event
iter limit
node limit
iter limit
Counts
10 → 396
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
(*.f64 z x)
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
(*.f64 (-.f64 z y) x)
(-.f64 z y)
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(fma.f64 (-.f64 z y) x y)
Outputs
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eval100.0ms (2.1%)

Memory
35.9MiB live, 193.1MiB allocated
Compiler

Compiled 13 720 to 1 646 computations (88% saved)

prune63.0ms (1.3%)

Memory
-41.1MiB live, 121.4MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New7813784
Fresh000
Picked134
Done000
Total7826788
Accuracy
100.0%
Counts
788 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
63.5%
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
62.5%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
26.6%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
39.4%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
41.3%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
Compiler

Compiled 34 to 37 computations (-8.8% saved)

simplify44.0ms (0.9%)

Memory
14.1MiB live, 56.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01891
02391
14091
26191
39285
417385
528985
644785
762885
875185
978685
1083285
1185785
1286285
1386685
1486985
1587185
087182
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
(*.f64 #s(approx (- z y) (neg.f64 y)) x)
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
y
x
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
(fma.f64 (neg.f64 y) x y)
(neg.f64 y)
y
x
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
(*.f64 #s(approx (- z y) (neg.f64 y)) x)
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
y
x
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 y) x y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(neg.f64 y)
y
x

localize37.0ms (0.8%)

Memory
22.9MiB live, 99.3MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (neg.f64 y) x y)
accuracy0
(neg.f64 y)
accuracy23.335902508839016
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
accuracy0
(neg.f64 y)
accuracy0.00390625
(*.f64 #s(approx (- z y) (neg.f64 y)) x)
accuracy23.99545376286146
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
accuracy30.16957071570358
#s(approx (- z y) (neg.f64 y))
accuracy0.0078125
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy23.335902508839016
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy28.94915254540337
#s(approx (- 1 x) #s(literal 1 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 61 to 15 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 9.0ms (55.9% of total)
ival-sub: 3.0ms (18.6% of total)
ival-add: 2.0ms (12.4% of total)
ival-neg: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series106.0ms (2.2%)

Memory
-15.9MiB live, 23.3MiB allocated
Counts
9 → 240
Calls
Call 1
Inputs
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())
#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())
Outputs
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* x y)) (* x z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- z y) (taylor 0 z) (#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (+ (* x z) (* y (- 1 x))) (taylor 0 z) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
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#s(alt (* x (+ z (* -1 y))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 y))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (+ (* -1 y) (/ y x)))) (taylor inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- z y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z y) (neg.f64 y)) x) (patch (*.f64 #s(approx (- z y) (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x)))))) (taylor -inf x) (#s(alt #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) (patch #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x y) (patch (fma.f64 (neg.f64 y) x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
94.0ms
y
@0
((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* x z)) (+ (* (neg y) x) y))
1.0ms
y
@inf
((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* x z)) (+ (* (neg y) x) y))
1.0ms
y
@-inf
((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* x z)) (+ (* (neg y) x) y))
1.0ms
x
@-inf
((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* x z)) (+ (* (neg y) x) y))
1.0ms
x
@inf
((+ (* (- 1 x) y) (* x z)) (* (- 1 x) y) (- 1 x) (+ (* (- 1 x) y) (* x z)) (* (- z y) x) (- z y) (neg y) (+ (* (- 1 x) y) (* x z)) (+ (* (neg y) x) y))

simplify124.0ms (2.6%)

Memory
-7.6MiB live, 149.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0901460
13041190
28701190
322161190
447081190
569251190
080551109
Stop Event
iter limit
node limit
Counts
240 → 232
Calls
Call 1
Inputs
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* -1 (* x y))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(* -1 y)
(- z y)
(- z y)
(- z y)
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (* -1 x)))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (- x 1)))
(* -1 (* y (- x 1)))
(* -1 (* y (- x 1)))
(* -1 (* y (- x 1)))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
Outputs
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 (-.f64 z y) x y)
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rewrite231.0ms (4.8%)

Memory
-14.1MiB live, 251.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
02383
18783
259783
3686883
0803680
Stop Event
iter limit
node limit
iter limit
Counts
9 → 144
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
(*.f64 #s(approx (- z y) (neg.f64 y)) x)
#s(approx (- z y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
(fma.f64 (neg.f64 y) x y)
Outputs
#<batchref>
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eval67.0ms (1.4%)

Memory
-2.0MiB live, 74.3MiB allocated
Compiler

Compiled 4 557 to 603 computations (86.8% saved)

prune13.0ms (0.3%)

Memory
-5.6MiB live, 40.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New4120412
Fresh000
Picked033
Done033
Total4126418
Accuracy
100.0%
Counts
418 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
63.5%
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
62.5%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
26.6%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
39.4%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
41.3%
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
Compiler

Compiled 83 to 62 computations (25.3% saved)

regimes16.0ms (0.3%)

Memory
-3.8MiB live, 34.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
Calls

4 calls:

6.0ms
y
3.0ms
x
3.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
3.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.2%)

Memory
22.4MiB live, 22.4MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
Calls

4 calls:

3.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
AccuracySegmentsBranch
86.6%3x
86.1%3y
79.7%3z
77.8%5(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes3.0ms (0.1%)

Memory
6.4MiB live, 6.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
86.6%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes43.0ms (0.9%)

Memory
-24.8MiB live, 13.3MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Calls

2 calls:

40.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
84.4%3y
67.4%2x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
2.0ms
x
Results
AccuracySegmentsBranch
68.6%4x
57.0%5(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
60.3%4z
62.2%3y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
64.8%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.2%)

Memory
-19.4MiB live, 17.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
y
1.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
41.3%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
41.3%1z
41.3%1y
41.3%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch31.0ms (0.6%)

Memory
12.4MiB live, 59.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
1.19471058770613e-6
0.001428594623308831
10.0ms
-3.9516832758210526e-132
-6.857236115721787e-134
Samples
12.0ms240×0valid
Compiler

Compiled 192 to 224 computations (-16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.9% of total)
ival-sub: 1.0ms (17% of total)
ival-add: 1.0ms (17% 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
5.0MiB live, 5.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.19471058770613e-6
0.001428594623308831
1.0ms
-3.9516832758210526e-132
-6.857236115721787e-134
Compiler

Compiled 192 to 239 computations (-24.5% saved)

bsearch36.0ms (0.7%)

Memory
-1.0MiB live, 76.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.040871375606815e-55
5.103077417905526e-32
16.0ms
-72.00402195456304
-6.916338141483039e-9
Samples
18.0ms336×0valid
Compiler

Compiled 222 to 308 computations (-38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48.5% of total)
ival-sub: 2.0ms (24.3% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch62.0ms (1.3%)

Memory
-3.5MiB live, 34.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.19471058770613e-6
0.001428594623308831
1.0ms
-3.9516832758210526e-132
-6.857236115721787e-134
49.0ms
-8.221235922251283e+27
-6.26089645116875e+27
Samples
52.0ms160×0valid
Compiler

Compiled 177 to 266 computations (-50.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (51.8% of total)
ival-sub: 1.0ms (25.9% of total)
ival-add: 1.0ms (25.9% 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
4.0MiB live, 4.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.19471058770613e-6
0.001428594623308831
1.0ms
-3.9516832758210526e-132
-6.857236115721787e-134
Compiler

Compiled 147 to 224 computations (-52.4% saved)

simplify39.0ms (0.8%)

Memory
-2.7MiB live, 76.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049310
163310
269310
372310
473310
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 8116567392432203/9223372036854775808 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))))
(if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 8116567392432203/9223372036854775808 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))))
(if (<=.f64 y #s(literal -6052837899185947/144115188075855872 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 4265246378386507/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 x #s(literal -7500000000000000237095616512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 x #s(literal 2833419889721787/2361183241434822606848 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)))))
(if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 x #s(literal 2833419889721787/2361183241434822606848 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))
Outputs
#s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (-.f64 z y) x y))
(if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 8116567392432203/9223372036854775808 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (fma.f64 (neg.f64 y) x y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))))
(if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x)) (if (<=.f64 x #s(literal 8116567392432203/9223372036854775808 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 z y) x))))
(if (<=.f64 y #s(literal -6052837899185947/144115188075855872 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 4265246378386507/748288838313422294120286634350736906063837462003712 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 x #s(literal -7500000000000000237095616512 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- z y) (neg.f64 y)) x)) (if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 x #s(literal 2833419889721787/2361183241434822606848 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)))))
(if (<=.f64 x #s(literal -6233507505270973/1598335257761788022467377781654101148543282249044465229239888363328190330275719997501596724768507889233831388734160190922469363547795602076820570112 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x)) (if (<=.f64 x #s(literal 2833419889721787/2361183241434822606848 binary64)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) #s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))))
#s(approx (+ (* (- 1 x) y) (* x z)) (*.f64 z x))

soundness1.3s (26.9%)

Memory
-1.6MiB live, 550.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01131962
13881572
211161572
326691572
453491572
576071572
080321437
057498
1192442
2558442
31392442
43879442
56297442
08009415
01884
02484
18284
257972
3737772
0846072
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 205 to 130 computations (36.6% saved)

preprocess118.0ms (2.5%)

Memory
-11.1MiB live, 149.5MiB allocated
Compiler

Compiled 310 to 116 computations (62.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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