Data.Colour.CIE.Chromaticity:chromaCoords from colour-2.3.3

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×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 7 to 7 computations (0% saved)

sample608.0ms (10.7%)

Memory
-2.1MiB live, 831.5MiB allocated
Samples
361.0ms8 248×0valid
0.0ms5×1valid
0.0ms3×2valid
Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-sub: 119.0ms (90.1% of total)
ival-true: 5.0ms (3.8% of total)
exact: 4.0ms (3% of total)
ival-assert: 3.0ms (2.3% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain52.0ms (0.9%)

Memory
-8.3MiB live, 114.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-y
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms510×0valid
0.0ms2×1valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 7.0ms (91% of total)
adjust: 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)

preprocess34.0ms (0.6%)

Memory
28.1MiB live, 66.1MiB allocated
Algorithm
1×egg-herbie
Rules
240×lower-fma.f64
240×lower-fma.f32
140×sub-neg
96×lower-*.f64
96×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331
13826
212225
330025
452825
561125
664825
765025
055
075
1155
2315
3665
41265
52295
62895
73195
83215
03215
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Compiler

Compiled 5 to 5 computations (0% saved)

simplify15.0ms (0.3%)

Memory
-30.9MiB live, 12.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11511
23111
36611
412611
522911
628911
731911
832111
032111
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y

localize12.0ms (0.2%)

Memory
25.4MiB live, 25.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Samples
8.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 2.0ms (69.1% of total)
adjust: 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)

series2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
2 → 36
Calls
Call 1
Inputs
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 1 x) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 1 x) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ (- 1 x) y))))) (taylor -inf y) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (- 1 y) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 x)) y) (taylor 0 x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (-.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
((- (- 1 x) y) (- 1 x))
0.0ms
x
@inf
((- (- 1 x) y) (- 1 x))
0.0ms
y
@-inf
((- (- 1 x) y) (- 1 x))
0.0ms
x
@-inf
((- (- 1 x) y) (- 1 x))
0.0ms
x
@0
((- (- 1 x) y) (- 1 x))

simplify181.0ms (3.2%)

Memory
3.2MiB live, 156.1MiB allocated
Algorithm
1×egg-herbie
Rules
3 240×lower-fma.f64
3 240×lower-fma.f32
2 044×div-sub
1 884×lower-/.f32
1 884×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037136
1109136
2310136
3904136
42756136
54023136
65322136
75853136
86219136
96407136
106889136
116993136
127751136
08109136
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite313.0ms (5.5%)

Memory
-122.1MiB live, 278.2MiB allocated
Rules
7 126×lower-fma.f64
7 126×lower-fma.f32
4 118×lower-*.f64
4 118×lower-*.f32
1 990×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1408
23238
348668
087598
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 275
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (+.f64 y (-.f64 #s(literal 1 binary64) x)) y)))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)

eval37.0ms (0.7%)

Memory
-17.3MiB live, 68.7MiB allocated
Compiler

Compiled 5 899 to 742 computations (87.4% saved)

prune8.0ms (0.1%)

Memory
-13.8MiB live, 25.4MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3056311
Fresh000
Picked011
Done000
Total3057312
Accuracy
100.0%
Counts
312 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)))))
✓100.0%
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
▶69.1%
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
▶65.7%
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
▶65.6%
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
▶34.8%
#s(approx (- (- 1 x) y) (neg.f64 y))
▶36.0%
#s(approx (- (- 1 x) y) (neg.f64 x))
Compiler

Compiled 91 to 79 computations (13.2% saved)

simplify16.0ms (0.3%)

Memory
25.9MiB live, 25.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- (- 1 x) y) (neg.f64 y))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (- 1 x) y) (neg.f64 x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
Rules
368×lower-fma.f64
368×lower-fma.f32
160×lower-*.f64
160×lower-*.f32
144×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01568
02068
13368
25768
310768
418668
534068
642668
748468
849268
049268
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
y
#s(approx (- (- 1 x) y) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (- 1 x) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
Outputs
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
y
#s(approx (- (- 1 x) y) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (- 1 x) y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y

localize24.0ms (0.4%)

Memory
-0.4MiB live, 38.1MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy29.188447351482473
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy22.02070120771738
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
accuracy0
(neg.f64 y)
accuracy41.7597648146312
#s(approx (- (- 1 x) y) (neg.f64 y))
accuracy0
(neg.f64 x)
accuracy40.979922753645305
#s(approx (- (- 1 x) y) (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy0.00390625
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
accuracy32.96260168871321
#s(approx (- 1 x) (neg.f64 x))
Samples
17.0ms255×0valid
0.0ms1×1valid
Compiler

Compiled 50 to 9 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 4.0ms (48.6% of total)
ival-neg: 4.0ms (48.6% of total)
adjust: 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)

series5.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
10 → 180
Calls
Call 1
Inputs
#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (patch (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 x)) (patch #s(approx (- (- 1 x) y) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (neg.f64 y)) (patch #s(approx (- (- 1 x) y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) (patch (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms
y
@inf
((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms
x
@-inf
((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms
y
@-inf
((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))
0.0ms
x
@0
((- (- 1 x) y) (- 1 x) (neg x) (- (- 1 x) y) (- (- 1 x) y) (neg y) (- (- 1 x) y) (- 1 x) (- (- 1 x) y) (- 1 x))

simplify213.0ms (3.8%)

Memory
-29.6MiB live, 126.7MiB allocated
Algorithm
1×egg-herbie
Rules
3 240×lower-fma.f64
3 240×lower-fma.f32
2 044×div-sub
1 884×lower-/.f32
1 884×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037664
1109664
2310664
3904664
42756664
54023664
65322664
75853664
86219664
96407664
106889664
116993664
127751664
08109664
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite176.0ms (3.1%)

Memory
28.3MiB live, 268.7MiB allocated
Rules
5 728×lower-fma.f64
5 728×lower-fma.f32
4 306×lower-*.f64
4 306×lower-*.f32
3 716×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
02058
17858
256958
0820458
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 319
Calls
Call 1
Inputs
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (- 1 x) y) (neg.f64 x))
#s(approx (- (- 1 x) y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) (-.f64 (*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(*.f64 (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))
(*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) (/.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))
(*.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) (*.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(approx (- 1 x) (neg.f64 x)) y) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x))))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))) (+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 (neg.f64 y) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (*.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))) (/.f64 (*.f64 y y) (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 4 binary64))) (+.f64 y #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 6 binary64))) (fma.f64 (+.f64 y #s(approx (- 1 x) (neg.f64 x))) y (pow.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 2 binary64)))))
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(fma.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) #s(literal 3 binary64)) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) (-.f64 (*.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) y #s(approx (- 1 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(fma.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(fma.f64 y #s(literal -1 binary64) #s(approx (- 1 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))))
(-.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(approx (- 1 x) #s(literal 1 binary64))))
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)))))
(+.f64 (/.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) y (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (neg.f64 y))
(+.f64 (neg.f64 y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(+.f64 #s(literal 0 binary64) #s(approx (- 1 x) #s(literal 1 binary64)))
(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 0 binary64))

eval62.0ms (1.1%)

Memory
6.7MiB live, 160.9MiB allocated
Compiler

Compiled 7 769 to 984 computations (87.3% saved)

prune16.0ms (0.3%)

Memory
-21.8MiB live, 52.6MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New5372539
Fresh101
Picked055
Done011
Total5388546
Accuracy
100.0%
Counts
546 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
✓69.1%
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓65.7%
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
▶65.6%
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
✓65.6%
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓34.8%
#s(approx (- (- 1 x) y) (neg.f64 y))
✓36.0%
#s(approx (- (- 1 x) y) (neg.f64 x))
▶32.5%
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify143.0ms (2.5%)

Memory
16.7MiB live, 174.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
cost-diff128
(neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))
cost-diff128
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
cost-diff1600
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
Rules
9 866×lower-fma.f32
9 862×lower-fma.f64
2 530×lower-*.f32
2 528×lower-*.f64
1 948×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017103
028103
15599
210799
325598
453398
590698
6150786
7246582
8413482
9609582
0817279
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
(neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
#s(approx (- (- 1 x) y) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
(-.f64 #s(literal 1 binary64) x)
(neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))
(*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))

localize104.0ms (1.8%)

Memory
-22.1MiB live, 101.2MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.01171875
(*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy0.31839662331007557
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
accuracy22.01679495771738
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
accuracy22.01679495771738
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
accuracy28.98084034902012
#s(approx (- 1 x) #s(literal 1 binary64))
Samples
49.0ms255×0valid
0.0ms1×5exit
Compiler

Compiled 81 to 17 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (45.7% of total)
ival-div: 3.0ms (13.7% of total)
ival-add: 3.0ms (13.7% of total)
ival-neg: 2.0ms (9.1% of total)
ival-sub: 2.0ms (9.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Counts
8 → 120
Calls
Call 1
Inputs
#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) (patch #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (patch (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) (patch (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify175.0ms (3.1%)

Memory
-23.1MiB live, 158.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 080×lower-fma.f64
10 080×lower-fma.f32
2 778×lower-*.f64
2 778×lower-*.f32
1 676×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106675
1324655
2980597
32934585
46629585
08113578
Stop Event
1×iter limit
1×node limit
Counts
120 → 118
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(* -1 (pow x 2))
(* (pow x 2) (- x 1))
(* (pow x 2) (- (* x (+ 1 (* -1 x))) 1))
(* (pow x 2) (- (* x (+ 1 (* x (- x 1)))) 1))
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- x 1))))
(* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
x
(* x (- 1 (/ 1 x)))
(* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- x 1))
(*.f64 (-.f64 (*.f64 x x) x) x)
(* (pow x 2) (- (* x (+ 1 (* -1 x))) 1))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (+ 1 (* x (- x 1)))) 1))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* (pow x 2) (+ 1 (* x (- x 1))))
(*.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x) x)
(* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(* x (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(-.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1)))
(-.f64 (-.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite226.0ms (4%)

Memory
19.2MiB live, 334.0MiB allocated
Rules
9 656×lower-fma.f32
9 652×lower-fma.f64
4 104×lower-/.f32
4 100×lower-/.f64
3 862×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01784
02884
112252
2101251
0876250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 611
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))
(neg.f64 x)
Outputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))))
(*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))))) (+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) (neg.f64 x)))
(neg.f64 (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (neg.f64 x) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
(/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 x (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))

eval796.0ms (14.1%)

Memory
-28.4MiB live, 253.2MiB allocated
Compiler

Compiled 21 482 to 2 377 computations (88.9% saved)

prune44.0ms (0.8%)

Memory
2.3MiB live, 41.8MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New7281729
Fresh000
Picked112
Done066
Total7298737
Accuracy
100.0%
Counts
737 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
✓69.1%
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓65.7%
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
▶65.6%
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
✓65.6%
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
✓34.8%
#s(approx (- (- 1 x) y) (neg.f64 y))
✓36.0%
#s(approx (- (- 1 x) y) (neg.f64 x))
✓32.5%
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 45 to 45 computations (0% saved)

simplify373.0ms (6.6%)

Memory
29.7MiB live, 146.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
cost-diff1280
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
Rules
7 532×lower-fma.f32
7 528×lower-fma.f64
2 376×lower--.f32
2 372×lower--.f64
2 272×lower-*.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01471
02371
14271
28571
319969
443063
5147963
6364257
7546557
8678357
9747357
10764157
11777357
12781157
0873157
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 x (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
Outputs
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
#s(approx (- (- 1 x) y) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 x (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)

localize62.0ms (1.1%)

Memory
-38.9MiB live, 123.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal -1 binary64) x)
accuracy0.01171875
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)
accuracy0.31839662331007557
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy22.01679495771738
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
Samples
35.0ms255×0valid
0.0ms1×5exit
Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 14.0ms (51.3% of total)
ival-sub: 6.0ms (22% of total)
ival-mult: 5.0ms (18.3% of total)
ival-add: 2.0ms (7.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) (patch (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (- 1 x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 y)) x) (taylor 0 y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) (+ 1 (/ x y)))) (taylor inf y) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 y) x))))) (taylor -inf x) (#s(alt #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) (patch #s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) (patch (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) (patch (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) (patch (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) (patch (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) x) (patch (-.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify125.0ms (2.2%)

Memory
2.4MiB live, 199.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 244×lower-fma.f64
11 244×lower-fma.f32
3 074×lower-*.f64
3 074×lower-*.f32
1 948×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093492
1272474
2795449
32516431
46866431
08252417
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(- 1 x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(- (+ 1 (* -1 y)) x)
(* -1 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* y (- (/ 1 y) (+ 1 (/ x y))))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- 1 y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
(- (+ 1 (* -1 x)) y)
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(* -1 (pow x 2))
(* (pow x 2) (- x 1))
(* (pow x 2) (- (* x (+ 1 (* -1 x))) 1))
(* (pow x 2) (- (* x (+ 1 (* x (- x 1)))) 1))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(* x (- (/ 1 x) (+ 1 (/ y x))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
Outputs
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 y)) x)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) (+ 1 (/ x y))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (+ 1 (* -1 (/ (- 1 x) y)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(- (+ 1 (* -1 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- x 1))
(*.f64 (fma.f64 x x (neg.f64 x)) x)
(* (pow x 2) (- (* x (+ 1 (* -1 x))) 1))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (+ 1 (* x (- x 1)))) 1))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (/ 1 x) (+ 1 (/ y x))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(* x (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 y) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) x) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)

rewrite220.0ms (3.9%)

Memory
-2.7MiB live, 319.5MiB allocated
Rules
7 634×lower-fma.f32
7 630×lower-fma.f64
3 806×lower-/.f32
3 802×lower-/.f64
3 492×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
02360
111260
297252
0924150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 377
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) x)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) #s(literal 2 binary64)) (exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))))
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(/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.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 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 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)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (+.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) x)
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (neg.f64 x))

eval68.0ms (1.2%)

Memory
-9.0MiB live, 182.3MiB allocated
Compiler

Compiled 12 784 to 1 752 computations (86.3% saved)

prune13.0ms (0.2%)

Memory
-1.6MiB live, 46.0MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4601461
Fresh000
Picked101
Done077
Total4618469
Accuracy
100.0%
Counts
469 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
✓69.1%
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
✓65.7%
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
✓65.6%
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
65.6%
#s(approx (- (- 1 x) y) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
✓34.8%
#s(approx (- (- 1 x) y) (neg.f64 y))
✓36.0%
#s(approx (- (- 1 x) y) (neg.f64 x))
✓32.5%
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
Compiler

Compiled 144 to 86 computations (40.3% saved)

regimes28.0ms (0.5%)

Memory
-1.5MiB live, 37.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
#s(approx (- (- 1 x) y) (neg.f64 y))
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
#s(approx (- (- 1 x) y) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
#s(approx (- (- 1 x) y) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 (neg.f64 x) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Calls

4 calls:

17.0ms
x
4.0ms
y
4.0ms
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
3.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (-.f64 #s(literal 1 binary64) x) y)
100.0%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes11.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
#s(approx (- (- 1 x) y) (neg.f64 y))
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
Outputs
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (- 1 x) (neg.f64 x)) y)
Calls

4 calls:

3.0ms
x
3.0ms
y
3.0ms
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
98.2%2x
98.8%2y
98.6%2(-.f64 (-.f64 #s(literal 1 binary64) x) y)
98.2%2(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
#s(approx (- (- 1 x) y) (neg.f64 y))
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
Outputs
(-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

2.0ms
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms
y
Results
AccuracySegmentsBranch
98.6%2(-.f64 (-.f64 #s(literal 1 binary64) x) y)
92.9%2y
Compiler

Compiled 6 to 7 computations (-16.7% saved)

regimes26.0ms (0.5%)

Memory
-20.5MiB live, 19.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
#s(approx (- (- 1 x) y) (neg.f64 y))
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (- (- 1 x) y) (neg.f64 y))
#s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
2.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
76.6%2x
70.6%2(-.f64 #s(literal 1 binary64) x)
97.8%2(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
#s(approx (- (- 1 x) y) (neg.f64 y))
Outputs
#s(approx (- (- 1 x) y) (neg.f64 y))
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
Calls

1 calls:

2.0ms
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Results
AccuracySegmentsBranch
96.5%3(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Compiler

Compiled 5 to 5 computations (0% saved)

regimes8.0ms (0.1%)

Memory
-16.9MiB live, 21.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
Outputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- (- 1 x) y) (neg.f64 x))
Calls

4 calls:

3.0ms
x
2.0ms
y
1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
63.9%2(-.f64 #s(literal 1 binary64) x)
63.9%2x
48.9%3y
64.0%2(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
Calls

4 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
32.5%1y
32.5%1x
32.5%1(-.f64 #s(literal 1 binary64) x)
32.5%1(-.f64 (-.f64 #s(literal 1 binary64) x) y)
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch30.0ms (0.5%)

Memory
-8.9MiB live, 35.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.225581111311634e-5
0.0006295948898375371
Samples
3.0ms96×0valid
Compiler

Compiled 62 to 82 computations (-32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 1.0ms (90.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999993
1.0
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-9.312019025800009
0.9999477441888869
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0002815935275833
4.860527745968787
0.0ms
-9.312019025800009
0.9999477441888869
Compiler

Compiled 8 to 10 computations (-25% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0002815935275833
4.860527745968787
Compiler

Compiled 8 to 10 computations (-25% saved)

simplify30.0ms (0.5%)

Memory
-15.5MiB live, 58.7MiB allocated
Algorithm
1×egg-herbie
Rules
12×+-commutative-binary64-+.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
4×*-commutative-binary64-*.f64
4×neg-sub0-binary64--.f64-neg.f64
4×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030156
142156
250156
352156
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(if (<=.f64 y #s(literal 5718490662849961/9223372036854775808 binary64)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 4503599627370493/4503599627370496 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -5 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -5 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) (if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x))))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x)))
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) x) y)
(if (<=.f64 y #s(literal 5718490662849961/9223372036854775808 binary64)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(approx (- 1 x) (neg.f64 x)) y))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 4503599627370493/4503599627370496 binary64)) (-.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -5 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) #s(approx (- (- 1 x) y) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -5 binary64)) #s(approx (- (- 1 x) y) (neg.f64 y)) (if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x))))
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 2 binary64)) #s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64))) #s(approx (- (- 1 x) y) (neg.f64 x)))
#s(approx (- (- 1 x) y) #s(approx (- 1 x) #s(literal 1 binary64)))

soundness1.3s (23.2%)

Memory
23.9MiB live, 378.8MiB allocated
Rules
3 240×lower-fma.f64
3 240×lower-fma.f32
3 240×lower-fma.f64
3 240×lower-fma.f32
2 044×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037136
1109136
2310136
3904136
42756136
54023136
65322136
75853136
86219136
96407136
106889136
116993136
127751136
08109136
037664
1109664
2310664
3904664
42756664
54023664
65322664
75853664
86219664
96407664
106889664
116993664
127751664
08109664
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 130 to 84 computations (35.4% saved)

preprocess57.0ms (1%)

Memory
-8.9MiB live, 152.3MiB allocated
Remove

(sort x y)

Compiler

Compiled 212 to 86 computations (59.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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