Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample815.0ms (15%)

Memory
45.3MiB live, 1 388.1MiB allocated
Samples
549.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 305.0ms
ival-mult: 186.0ms (61.1% of total)
ival-sub: 58.0ms (19% of total)
ival-add: 47.0ms (15.4% of total)
ival-true: 6.0ms (2% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain138.0ms (2.5%)

Memory
-16.2MiB live, 181.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-0-(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
00-0-(*.f64 (-.f64 x #s(literal 1 binary64)) z)
00-0-y
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))nan-rescue60
(*.f64 x y)overflow31
(*.f64 (-.f64 x #s(literal 1 binary64)) z)overflow37
Confusion
Predicted +Predicted -
+60
-0250
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+600
-00250
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0250
16
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: 12.0ms
ival-mult: 7.0ms (56.8% of total)
ival-sub: 3.0ms (24.3% of total)
ival-add: 2.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess83.0ms (1.5%)

Memory
29.0MiB live, 103.0MiB allocated
Algorithm
egg-herbie
Rules
608×lower-fma.f64
608×lower-fma.f32
390×distribute-rgt-in
370×unsub-neg
314×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03290
18083
217881
348266
4108364
5186664
6229264
7235464
8236264
9236264
089
0129
1209
2279
3397
4507
5687
61117
71827
83707
95807
106707
116807
06807
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify24.0ms (0.4%)

Memory
-12.9MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
cost-diff0
(*.f64 x y)
cost-diff320
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Rules
608×lower-fma.f64
608×lower-fma.f32
240×lower-*.f32
236×lower-*.f64
152×lower-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0824
01224
12024
22724
33922
45022
56822
611122
718222
837022
958022
1067022
1168022
068022
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 x y)
x
y
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
z
Outputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
z

localize33.0ms (0.6%)

Memory
-15.3MiB live, 45.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy1.5038938649812348
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Samples
28.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 13.0ms (80.5% of total)
ival-sub: 1.0ms (6.2% of total)
ival-add: 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)

series8.0ms (0.2%)

Memory
15.7MiB live, 15.8MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch (+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify108.0ms (2%)

Memory
-0.3MiB live, 157.4MiB allocated
Algorithm
egg-herbie
Rules
9 326×lower-fma.f64
9 326×lower-fma.f32
3 218×lower-*.f64
3 218×lower-*.f32
1 186×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054494
1180440
2532440
31339440
44403440
08080440
Stop Event
iter limit
node limit
Counts
96 → 94
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
-1
(- x 1)
(- x 1)
(- x 1)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x z)
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(+ (* -1 z) (* x z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(+ (* -1 z) (* x z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x z)
(*.f64 z x)
(* x (+ z (* -1 (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* x (+ z (* -1 (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* x (+ z (* -1 (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite293.0ms (5.4%)

Memory
1.1MiB live, 267.7MiB allocated
Rules
6 732×lower-*.f32
6 728×lower-*.f64
4 784×lower-fma.f64
4 784×lower-fma.f32
4 232×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
01220
14520
231120
3385420
01040919
Stop Event
iter limit
node limit
iter limit
Counts
4 → 280
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 x y)
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) (*.f64 z (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.f64 z (-.f64 x #s(literal 1 binary64)) (*.f64 y x)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 y x)) (pow.f64 (*.f64 z (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(-.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval57.0ms (1%)

Memory
-22.9MiB live, 102.4MiB allocated
Compiler

Compiled 7 790 to 1 014 computations (87% saved)

prune129.0ms (2.4%)

Memory
-5.2MiB live, 141.4MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3677374
Fresh000
Picked101
Done000
Total3687375
Accuracy
100.0%
Counts
375 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
74.2%
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
100.0%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
64.3%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
64.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
39.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
37.3%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
Compiler

Compiled 84 to 88 computations (-4.8% saved)

simplify24.0ms (0.4%)

Memory
-4.2MiB live, 33.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
cost-diff0
(+.f64 z y)
cost-diff0
(*.f64 (+.f64 z y) x)
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
cost-diff0
(neg.f64 z)
cost-diff0
(+.f64 z y)
cost-diff0
(fma.f64 (+.f64 z y) x (neg.f64 z))
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
Rules
608×lower-fma.f32
606×lower-fma.f64
240×lower-*.f32
234×lower-*.f64
164×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020117
027117
141117
257107
3106107
4176107
5309107
6621107
7805107
8857107
9861107
0861107
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+.f64 z y)
z
y
x
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
(+.f64 z y)
z
y
x
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
z
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+.f64 z y)
z
y
x
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
(+.f64 z y)
z
y
x
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
z

localize41.0ms (0.7%)

Memory
3.4MiB live, 86.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
accuracy22.820354871594944
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
accuracy0
(+.f64 z y)
accuracy0.01171875
(*.f64 (+.f64 z y) x)
accuracy22.636207682405672
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
accuracy0
(*.f64 y x)
accuracy38.67703095889934
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
accuracy0
(neg.f64 z)
accuracy40.124988817416025
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
accuracy0
(+.f64 z y)
accuracy0
(neg.f64 z)
accuracy0
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
accuracy0.0078125
(fma.f64 (+.f64 z y) x (neg.f64 z))
Samples
26.0ms256×0valid
Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (49.3% of total)
ival-add: 3.0ms (24.7% of total)
ival-sub: 1.0ms (8.2% of total)
ival-neg: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-2.2MiB live, 35.7MiB allocated
Counts
12 → 348
Calls
Call 1
Inputs
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) 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 #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 (+.f64 z y) x (neg.f64 z)) (patch (fma.f64 (+.f64 z y) x (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt z (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 1 binary64)) z) (patch (*.f64 (-.f64 x #s(literal 1 binary64)) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify137.0ms (2.5%)

Memory
8.9MiB live, 158.6MiB allocated
Algorithm
egg-herbie
Rules
6 730×lower-fma.f64
6 730×lower-fma.f32
2 746×lower-*.f64
2 746×lower-*.f32
1 262×lower--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01002141
13461817
210171817
325591817
452781817
570951817
080831817
Stop Event
iter limit
node limit
Counts
348 → 340
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
y
(+ y z)
(+ y z)
(+ y z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(- (* x z) z)
(- (+ (* x y) (* x z)) z)
(- (+ (* x y) (* x z)) z)
(- (+ (* x y) (* x z)) z)
z
(+ y z)
(+ y z)
(+ y z)
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* -1 z)
(- (* x (+ y z)) z)
(- (* x (+ y z)) z)
(- (* x (+ y z)) z)
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* -1 z)
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
-1
(- x 1)
(- x 1)
(- x 1)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x z)
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* x (+ y z))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(+ (* x y) (* x z))
(*.f64 (+.f64 z y) x)
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x z)
(*.f64 z x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (+ x (/ (* x y) z)))
(*.f64 (+.f64 z y) x)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
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(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite138.0ms (2.5%)

Memory
13.8MiB live, 238.2MiB allocated
Rules
6 900×lower-fma.f32
6 898×lower-fma.f64
4 714×lower-*.f32
4 708×lower-*.f64
2 910×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020100
027100
190100
263881
0919879
Stop Event
iter limit
node limit
iter limit
Counts
12 → 547
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+.f64 z y)
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (+.f64 z y) x)
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(-.f64 x #s(literal 1 binary64))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (-.f64 y z) x z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) (-.f64 z (*.f64 (-.f64 y z) x)))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z))))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 z x (-.f64 z (*.f64 y x))))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) (-.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) (-.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) (fma.f64 (-.f64 y z) x z))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)))
(*.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x z) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 y z) x z) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (/.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z x (-.f64 z (*.f64 y x)))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 (-.f64 y z) x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)))))
(*.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 y z) x z) (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) (/.f64 (fma.f64 (-.f64 y z) x z) (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z))))
(*.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 y z) x z) (/.f64 (fma.f64 (-.f64 y z) x z) (fma.f64 (-.f64 y z) x z)))
(*.f64 (fma.f64 (-.f64 y z) x z) (*.f64 (fma.f64 (-.f64 y z) x z) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x z))
(pow.f64 (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 y z) x) z) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y z) x z) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 z x z) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (fma.f64 z x z) x) y) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) x z))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 z x z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 z x z) (fma.f64 (-.f64 y z) x z) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) x z)) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) x z)))) (fma.f64 (-.f64 y z) x z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 z (*.f64 (-.f64 y z) x)) (-.f64 z (*.f64 (-.f64 y z) x)))) (-.f64 z (*.f64 (-.f64 y z) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z))) (*.f64 (/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) x z)) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) x z)) (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (*.f64 z z) (fma.f64 (-.f64 y z) x z))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (*.f64 (-.f64 y z) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 z (*.f64 (-.f64 y z) x)) (-.f64 z (*.f64 (-.f64 y z) x)) (*.f64 #s(literal 0 binary64) (-.f64 z (*.f64 (-.f64 y z) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (fma.f64 (/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z)) (/.f64 (pow.f64 (fma.f64 z x z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) x z))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))))) (fma.f64 (-.f64 y z) x z))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 y z) x) (fma.f64 (-.f64 y z) x z) (*.f64 z z)))))
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(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) (*.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval152.0ms (2.8%)

Memory
15.7MiB live, 380.3MiB allocated
Compiler

Compiled 15 148 to 2 010 computations (86.7% saved)

prune163.0ms (3%)

Memory
-11.7MiB live, 267.0MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 01141 015
Fresh112
Picked145
Done000
Total1 01391 022
Accuracy
100.0%
Counts
1 022 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
100.0%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
63.1%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
64.3%
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
64.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
39.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
37.3%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
29.2%
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
2.5%
#s(approx (+ (* x y) (* (- x 1) z)) z)
Compiler

Compiled 75 to 81 computations (-8% saved)

simplify179.0ms (3.3%)

Memory
-34.3MiB live, 27.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
cost-diff192
(fma.f64 z x (*.f64 y x))
cost-diff0
(*.f64 z x)
cost-diff0
(-.f64 (*.f64 z x) z)
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
cost-diff0
(*.f64 z x)
cost-diff0
#s(approx (* (- x 1) z) (*.f64 z x))
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
cost-diff0
#s(approx (+ (* x y) (* (- x 1) z)) z)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (* (- x 1) z) (neg.f64 z))
cost-diff0
(*.f64 x y)
cost-diff128
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
Rules
688×lower-fma.f32
686×lower-fma.f64
272×lower-*.f32
266×lower-*.f64
176×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021126
028124
146124
257116
373116
4124116
5187116
6360116
7559116
8668116
9701116
10720116
11734116
12737116
0737115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
(*.f64 x y)
x
y
#s(approx (* (- x 1) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* x y) (* (- x 1) z)) z)
z
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
(-.f64 (*.f64 z x) z)
(*.f64 z x)
z
x
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
(fma.f64 z x (*.f64 y x))
z
x
(*.f64 y x)
y
Outputs
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (* (- x 1) z) (neg.f64 z))
(neg.f64 z)
z
#s(approx (+ (* x y) (* (- x 1) z)) z)
z
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
(-.f64 (*.f64 z x) z)
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(*.f64 z x)
z
x
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(fma.f64 z x (*.f64 y x))
(*.f64 (+.f64 z y) x)
z
x
(*.f64 y x)
y

localize44.0ms (0.8%)

Memory
6.9MiB live, 44.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.9999889904222409
(fma.f64 z x (*.f64 y x))
accuracy22.636207682405672
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
accuracy0
(*.f64 z x)
accuracy0.0078125
(-.f64 (*.f64 z x) z)
accuracy22.820354871594944
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
accuracy0
(*.f64 z x)
accuracy22.820354871594944
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
accuracy30.941407440770675
#s(approx (* (- x 1) z) (*.f64 z x))
accuracy62.418143279148104
#s(approx (+ (* x y) (* (- x 1) z)) z)
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 z)
accuracy1.5038938649812348
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
accuracy31.991817007389685
#s(approx (* (- x 1) z) (neg.f64 z))
Samples
33.0ms256×0valid
Compiler

Compiled 94 to 15 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 11.0ms (53.6% of total)
ival-mult: 6.0ms (29.3% of total)
ival-add: 2.0ms (9.8% of total)
ival-neg: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
13 → 372
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())
#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())
#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) 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 (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) 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 (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
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#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) 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 (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (patch (+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) z) (patch #s(approx (+ (* x y) (* (- x 1) z)) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) z) (*.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (*.f64 z x)) (patch #s(approx (* (- x 1) 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 (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) (patch #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 z x) z) (patch (-.f64 (*.f64 z x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 z x (*.f64 y x)) (patch (fma.f64 z x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) (patch #s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify120.0ms (2.2%)

Memory
6.3MiB live, 79.4MiB allocated
Algorithm
egg-herbie
Rules
8 202×lower-fma.f64
8 202×lower-fma.f32
2 872×lower-*.f64
2 872×lower-*.f32
1 126×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0642142
12311872
26941872
318411872
444551872
565601872
082891872
Stop Event
iter limit
node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* x z)
(* x z)
(* x z)
(* x z)
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
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(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x z)
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(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
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(+ (* -1 z) (* x (+ y z)))
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(* -1 z)
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(- (* x z) z)
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(- (* x z) z)
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(- (* x z) z)
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(+ (* -1 z) (* x (+ y z)))
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(fma.f64 (+.f64 z y) x (neg.f64 z))
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(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
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(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x z)
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(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* x (+ z (* -1 (/ z x))))
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(* x (+ z (* -1 (/ z x))))
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(* x (+ y (+ z (* -1 (/ z x)))))
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(*.f64 (+.f64 z y) x)
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(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
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(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
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(*.f64 (+.f64 z y) x)
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(fma.f64 (+.f64 z y) x (neg.f64 z))
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(* x y)
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rewrite278.0ms (5.1%)

Memory
-16.2MiB live, 220.2MiB allocated
Rules
11 724×lower-fma.f32
11 722×lower-fma.f64
6 200×lower-*.f32
6 194×lower-*.f64
4 068×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021112
028110
1108110
2708102
08675101
Stop Event
iter limit
node limit
iter limit
Counts
13 → 281
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
(*.f64 x y)
#s(approx (* (- x 1) z) (neg.f64 z))
(neg.f64 z)
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (* (- x 1) z) (*.f64 z x))
(*.f64 z x)
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
(-.f64 (*.f64 z x) z)
(fma.f64 z x (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
(*.f64 y x)
Outputs
(*.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (neg.f64 z))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 y x) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)))
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(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 z y) x) (*.f64 (*.f64 x (-.f64 z y)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 z y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 x (+.f64 z y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x) (-.f64 z y))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 z z (*.f64 y (-.f64 y z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) y) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) y) z) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 x (-.f64 z y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (*.f64 (+.f64 z y) (-.f64 z y))) (-.f64 z y))
(/.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (-.f64 y z))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))) (+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 y z))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 (+.f64 z y) x)) (*.f64 x (-.f64 z y)))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 z z (*.f64 y y))) (*.f64 x (-.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) y) z) #s(literal 2 binary64))) (*.f64 x (-.f64 z y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (*.f64 (*.f64 x (-.f64 z y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (*.f64 x (-.f64 z y)) (*.f64 x (-.f64 z y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 x (-.f64 y z)))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 z y) x)) (*.f64 x (-.f64 z y))) (*.f64 (neg.f64 x) (-.f64 z y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 z y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y z)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 z y) x)) (*.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (-.f64 z y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (-.f64 y z) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))))
(fma.f64 (*.f64 z #s(literal 1 binary64)) x (*.f64 y x))
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (*.f64 z x))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) z) x) (/.f64 z (-.f64 z y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 z z) (-.f64 z y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) x) x) (/.f64 x (-.f64 z y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (/.f64 (*.f64 z z) x) (/.f64 (*.f64 x x) (-.f64 z y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (/.f64 (*.f64 z x) x) (/.f64 (*.f64 z x) (-.f64 z y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (/.f64 z x) (/.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 z z) x) (-.f64 z y)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 z x (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 z x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 z x))
(fma.f64 y x (*.f64 z x))
(fma.f64 x (*.f64 #s(literal 1 binary64) y) (*.f64 z x))
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (*.f64 y x))
(fma.f64 x z (*.f64 y x))
(fma.f64 x y (*.f64 z x))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 y z))))
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (-.f64 z y)))))
(+.f64 (*.f64 z x) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 z x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(*.f64 (*.f64 y #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x (*.f64 #s(literal 1 binary64) y))
(*.f64 x y)

eval78.0ms (1.4%)

Memory
27.9MiB live, 144.1MiB allocated
Compiler

Compiled 8 881 to 988 computations (88.9% saved)

prune79.0ms (1.5%)

Memory
-17.6MiB live, 96.0MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New6911692
Fresh000
Picked145
Done134
Total6938701
Accuracy
100.0%
Counts
701 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
63.1%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
64.3%
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
64.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
39.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
37.3%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
29.2%
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
2.5%
#s(approx (+ (* x y) (* (- x 1) z)) z)
Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify20.0ms (0.4%)

Memory
18.9MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (* (- x 1) z) (neg.f64 z))
cost-diff0
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
Rules
304×lower-fma.f32
302×lower-fma.f64
192×lower-*.f64
192×lower-*.f32
96×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01224
12224
23024
34224
45024
56524
610324
716224
824124
930024
1036524
1140624
1242324
1344324
1446524
1548124
1648424
048424
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
y
x
#s(approx (* (- x 1) z) (neg.f64 z))
(neg.f64 z)
z
Outputs
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
(fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z)))
y
x
#s(approx (* (- x 1) z) (neg.f64 z))
(neg.f64 z)
z

localize43.0ms (0.8%)

Memory
-24.1MiB live, 26.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 z)
accuracy0.49999449521112044
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
accuracy31.991817007389685
#s(approx (* (- x 1) z) (neg.f64 z))
Samples
38.0ms256×0valid
Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 24.0ms (79.9% of total)
ival-mult: 3.0ms (10% of total)
ival-sub: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ x (/ (* x y) z)) 1)) (taylor inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor -inf z) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt (* z (- x 1)) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* x y) (* z (- x 1))) (taylor 0 y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (/ (* z (- x 1)) y))) (taylor inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y))))) (taylor -inf y) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x (+ y z))) (taylor 0 x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 z) (* x z)) (taylor 0 x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (+ z (* -1 (/ z x))))) (taylor inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (* -1 (/ z x)))) (taylor inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (* -1 z)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x))))) (taylor -inf x) (#s(alt (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) (patch (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (/ z x)))) (taylor -inf x) (#s(alt #s(approx (* (- x 1) z) (neg.f64 z)) (patch #s(approx (* (- x 1) z) (neg.f64 z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z))
1.0ms
z
@inf
((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z))
0.0ms
x
@-inf
((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z))
0.0ms
z
@0
((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z))
0.0ms
x
@inf
((+ (* y x) (* (- x 1) z)) (* (- x 1) z) (neg z))

simplify151.0ms (2.8%)

Memory
-15.9MiB live, 97.0MiB allocated
Algorithm
egg-herbie
Rules
4 934×lower-fma.f64
4 934×lower-fma.f32
2 128×lower-*.f64
2 128×lower-*.f32
1 206×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048416
1166362
2488362
31252362
43738362
56953362
08117362
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* -1 z)
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x z)
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
Outputs
(* x y)
(*.f64 y x)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- (+ x (/ (* x y) z)) 1))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* x y) (* z (- x 1)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* y (+ x (/ (* z (- x 1)) y)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(+ (* -1 z) (* x (+ y z)))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 z)
(neg.f64 z)
(+ (* -1 z) (* x z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(+ (* -1 z) (* x z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(+ (* -1 z) (* x z))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* x (+ y z))
(*.f64 (+.f64 z y) x)
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x (+ y (+ z (* -1 (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x z)
(*.f64 z x)
(* x (+ z (* -1 (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* x (+ z (* -1 (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* x (+ z (* -1 (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(*.f64 (+.f64 z y) x)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(fma.f64 (+.f64 z y) x (neg.f64 z))
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) z)

rewrite267.0ms (4.9%)

Memory
18.7MiB live, 220.0MiB allocated
Rules
4 770×lower-/.f64
4 770×lower-/.f32
4 412×lower-fma.f32
4 410×lower-fma.f64
3 940×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
01221
14721
230021
3288221
0871021
Stop Event
iter limit
node limit
iter limit
Counts
3 → 164
Calls
Call 1
Inputs
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
#s(approx (* (- x 1) z) (neg.f64 z))
(neg.f64 z)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)))))
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) (-.f64 (*.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)))) (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))))
(*.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) (/.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))
(*.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))))
(pow.f64 (/.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) (-.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 9 binary64)) (pow.f64 (*.f64 x y) #s(literal 9 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))))
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(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64)) (fma.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y)) #s(approx (* (- x 1) z) (neg.f64 z)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))) (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64))) (neg.f64 (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z))))))
(-.f64 (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(approx (* (- x 1) z) (neg.f64 z)) (*.f64 x y))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))) (/.f64 (pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 2 binary64)) (-.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal -1 binary64))) #s(literal -1 binary64)))
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(pow.f64 #s(approx (* (- x 1) z) (neg.f64 z)) #s(literal 1 binary64))
#s(approx (* (- x 1) z) (neg.f64 z))
(exp.f64 (*.f64 (log.f64 #s(approx (* (- x 1) z) (neg.f64 z))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (* (- x 1) z) (neg.f64 z))))
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(pow.f64 (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z))
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(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z z)) z)
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 z z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (neg.f64 (*.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
(fma.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 #s(literal 0 binary64) (neg.f64 z))))
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (pow.f64 z #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))

eval44.0ms (0.8%)

Memory
4.0MiB live, 41.3MiB allocated
Compiler

Compiled 5 449 to 541 computations (90.1% saved)

prune38.0ms (0.7%)

Memory
10.4MiB live, 48.9MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2360236
Fresh000
Picked011
Done077
Total2368244
Accuracy
100.0%
Counts
244 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
63.1%
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
64.3%
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
64.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
39.6%
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
37.3%
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
29.2%
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
2.5%
#s(approx (+ (* x y) (* (- x 1) z)) z)
Compiler

Compiled 116 to 74 computations (36.2% saved)

regimes30.0ms (0.6%)

Memory
-13.9MiB live, 25.0MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (*.f64 z x)))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
Calls

4 calls:

16.0ms
z
5.0ms
y
5.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes16.0ms (0.3%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
(+.f64 (*.f64 x y) #s(approx (* (- x 1) z) (neg.f64 z)))
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 z x (*.f64 y x)))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
(fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
Calls

4 calls:

4.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Results
AccuracySegmentsBranch
98.6%3x
90.7%4y
88.4%3z
88.3%4(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes41.0ms (0.8%)

Memory
-33.4MiB live, 9.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
Calls

2 calls:

37.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
81.9%3y
88.5%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
88.4%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))
Calls

2 calls:

3.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
68.4%2z
87.1%3x
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes9.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
4 → 5
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
Calls

4 calls:

2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Results
AccuracySegmentsBranch
58.4%3z
60.9%5y
53.6%3(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
68.8%5x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
63.0%3x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (0.5%)

Memory
-26.0MiB live, 11.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) z)
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
Calls

4 calls:

21.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
37.3%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
37.3%1y
37.3%1z
37.3%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
z
1.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
2.5%1z
2.5%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
2.5%1y
2.5%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch24.0ms (0.5%)

Memory
22.4MiB live, 22.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
6.109241488642674e-24
3.8710850250368635e-21
12.0ms
-195.226257669545
-2.6835793990611634e-5
Samples
12.0ms272×0valid
Compiler

Compiled 216 to 252 computations (-16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (63.2% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.9%)

Memory
-13.2MiB live, 23.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.070537603803115e-41
1.701656383762027e-37
39.0ms
-229365086819.8975
-14735286.283099549
Samples
12.0ms256×0valid
Compiler

Compiled 204 to 238 computations (-16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (63.3% of total)
ival-sub: 1.0ms (15.8% of total)
ival-add: 1.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.070537603803115e-41
1.701656383762027e-37
1.0ms
-229365086819.8975
-14735286.283099549
Compiler

Compiled 204 to 254 computations (-24.5% saved)

bsearch13.0ms (0.2%)

Memory
11.5MiB live, 11.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.070537603803115e-41
1.701656383762027e-37
10.0ms
-195.226257669545
-2.6835793990611634e-5
Samples
6.0ms128×0valid
Compiler

Compiled 165 to 235 computations (-42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (67.6% of total)
ival-sub: 1.0ms (33.8% of total)
ival-add: 1.0ms (33.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch67.0ms (1.2%)

Memory
-12.6MiB live, 23.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
7.580485867322476e+161
3.2895481556141444e+162
1.0ms
3.857486973072304e-41
4.0386894122858636e-41
3.0ms
-229365086819.8975
-14735286.283099549
52.0ms
-1.6702200505018659e+273
-4.7049809469879926e+268
Samples
13.0ms272×0valid
Compiler

Compiled 201 to 304 computations (-51.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (61.3% of total)
ival-sub: 1.0ms (15.3% of total)
ival-add: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
49817.19923402662
11380874.105577523
1.0ms
-195.226257669545
-2.6835793990611634e-5
Samples
5.0ms112×0valid
Compiler

Compiled 140 to 222 computations (-58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (38.6% of total)
ival-mult: 1.0ms (38.6% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify64.0ms (1.2%)

Memory
-36.2MiB live, 54.6MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative-binary64-*.f64
10×+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
neg-sub0-binary64--.f64-neg.f64
neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062395
175395
281395
387395
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 631383297997835/166153499473114484112975882535043072 binary64)) (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -17000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8428725474762389/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -17000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8428725474762389/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -3984496719921263/147573952589676412928 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8428725474762389/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -300000000000000014026145665636838396756881629399123086052409461823204931818366768383110477454091001081723066440213485086797850455398729099442293983225093944916216783959391380676099256071505693306798023488118601415557879978318691030425791408034413264622590365391785033728 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal -15000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 7846377169233351/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 2599999999999999998243368835281435659509143579951431616305110725845506157082985339300457319678511708590412423867713877191413443860181580519920128573384241325277184 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 50000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)
Outputs
#s(approx (+ (* x y) (* (- x 1) z)) (fma.f64 (+.f64 z y) x (neg.f64 z)))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 631383297997835/166153499473114484112975882535043072 binary64)) (fma.f64 y x #s(approx (* (- x 1) z) (neg.f64 z))) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -17000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8428725474762389/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (-.f64 (*.f64 z x) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -17000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8428725474762389/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -3984496719921263/147573952589676412928 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x)) (if (<=.f64 x #s(literal 8428725474762389/383123885216472214589586756787577295904684780545900544 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 (+.f64 z y) x))))
(if (<=.f64 x #s(literal -300000000000000014026145665636838396756881629399123086052409461823204931818366768383110477454091001081723066440213485086797850455398729099442293983225093944916216783959391380676099256071505693306798023488118601415557879978318691030425791408034413264622590365391785033728 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal -15000000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) (if (<=.f64 x #s(literal 7846377169233351/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) (if (<=.f64 x #s(literal 2599999999999999998243368835281435659509143579951431616305110725845506157082985339300457319678511708590412423867713877191413443860181580519920128573384241325277184 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (*.f64 y x)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x))) (if (<=.f64 x #s(literal 50000 binary64)) #s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z)) #s(approx (+ (* x y) (* (- x 1) z)) #s(approx (* (- x 1) z) (*.f64 z x)))))
#s(approx (+ (* x y) (* (- x 1) z)) (neg.f64 z))
#s(approx (+ (* x y) (* (- x 1) z)) z)

soundness1.3s (23.5%)

Memory
16.7MiB live, 650.9MiB allocated
Rules
11 724×lower-fma.f32
11 722×lower-fma.f64
9 326×lower-fma.f64
9 326×lower-fma.f32
6 900×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020100
027100
190100
263881
0919879
021112
028110
1108110
2708102
08675101
054494
1180440
2532440
31339440
44403440
08080440
01002141
13461817
210171817
325591817
452781817
570951817
080831817
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 260 to 164 computations (36.9% saved)

preprocess51.0ms (0.9%)

Memory
-1.1MiB live, 156.1MiB allocated
Compiler

Compiled 362 to 132 computations (63.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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