Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, D

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory
29.2MiB live, 29.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.3s (16%)

Memory
0.8MiB live, 1 333.4MiB allocated
Samples
541.0ms6 307×0valid
248.0ms1 669×1valid
69.0ms280×2valid
Precisions
Click to see histograms. Total time spent on operations: 518.0ms
ival-sub: 157.0ms (30.3% of total)
ival-div: 109.0ms (21% of total)
ival-mult: 101.0ms (19.5% of total)
ival-add: 92.0ms (17.7% of total)
adjust: 46.0ms (8.9% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain129.0ms (1.6%)

Memory
6.8MiB live, 130.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
610-1(-3.1054948206960384e-68 -45.907362594512435)(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
300-0-(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))cancellation601
/.f64(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))o/n300
(*.f64 (-.f64 #s(literal 1 binary64) x) y)overflow30
Confusion
Predicted +Predicted -
+901
-0165
Precision
1.0
Recall
0.989010989010989
Confusion?
Predicted +Predicted MaybePredicted -
+9010
-00165
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0166
190
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms400×0valid
13.0ms104×1valid
2.0ms2valid
Compiler

Compiled 117 to 52 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 25.0ms (49.3% of total)
ival-sub: 15.0ms (29.6% of total)
ival-add: 4.0ms (7.9% of total)
ival-mult: 4.0ms (7.9% of total)
adjust: 2.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess181.0ms (2.3%)

Memory
5.7MiB live, 80.7MiB allocated
Algorithm
egg-herbie
Rules
1 090×times-frac
928×lower-fma.f64
928×lower-fma.f32
882×div-sub
614×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02261
15857
218055
353955
4158455
5389355
6462555
7495655
8496055
9496055
10517655
11527255
12527255
13527255
0811
01311
12311
24811
312011
436111
590111
6173911
7194111
8196511
0196510
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.8%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify52.0ms (0.7%)

Memory
2.4MiB live, 40.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
cost-diff128
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Rules
928×lower-fma.f64
928×lower-fma.f32
416×lower-*.f32
414×lower-*.f64
308×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
12334
24834
312034
436134
590134
6173934
7194134
8196534
0196533
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
x
y
(+.f64 y #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
y
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))

localize56.0ms (0.7%)

Memory
-39.0MiB live, 27.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy7.03790772015824
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
accuracy13.567397982381259
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Samples
11.0ms200×0valid
6.0ms52×1valid
1.0ms2valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (28.4% of total)
ival-div: 2.0ms (18.9% of total)
ival-mult: 2.0ms (18.9% of total)
adjust: 1.0ms (9.5% of total)
ival-add: 1.0ms (9.5% 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
3.4MiB live, 3.4MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- x 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ 1 y)) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- 1 x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x y)) (+ x (/ 1 y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (- 1 x)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- 1 (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ y (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 (* x y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ y x))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify181.0ms (2.3%)

Memory
19.3MiB live, 126.5MiB allocated
Algorithm
egg-herbie
Rules
13 336×lower-fma.f64
13 336×lower-fma.f32
3 556×lower-+.f64
3 556×lower-+.f32
2 780×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127823
1400799
21127684
34559669
08305648
Stop Event
iter limit
node limit
Counts
96 → 91
Calls
Call 1
Inputs
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(/ y (+ 1 y))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* -1 (/ (* x y) (+ 1 y)))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (/ (* x y) (+ 1 y)))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y (-.f64 x #s(literal 1 binary64))) y #s(literal 1 binary64))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (* y (- x 1))) x))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y)
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y (-.f64 #s(literal 1 binary64) x)) y)
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) y)) y (-.f64 x #s(literal 1 binary64))) y (-.f64 #s(literal 1 binary64) x)) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(+.f64 (+.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
(-.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))) (-.f64 x #s(literal 1 binary64)))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
x
(+ x (* -1 (/ (- x 1) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x))
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
(*.f64 (-.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(- 1 (/ y (+ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/ y (+ 1 y))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
y
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (/ (* x y) (+ 1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (/ (* x y) (+ 1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) y)
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite217.0ms (2.7%)

Memory
-1.2MiB live, 155.0MiB allocated
Rules
6 332×lower-fma.f64
6 332×lower-fma.f32
4 782×lower-*.f32
4 780×lower-*.f64
3 674×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
253331
0851730
Stop Event
iter limit
node limit
iter limit
Counts
5 → 473
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
(+.f64 y #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
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(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)

eval133.0ms (1.7%)

Memory
2.9MiB live, 157.2MiB allocated
Compiler

Compiled 12 316 to 1 657 computations (86.5% saved)

prune172.0ms (2.2%)

Memory
7.2MiB live, 169.2MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New55212564
Fresh000
Picked011
Done000
Total55213565
Accuracy
99.9%
Counts
565 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
57.1%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
65.8%
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
78.9%
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
67.8%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
38.4%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
29.5%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
50.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
50.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
53.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
37.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
Compiler

Compiled 443 to 228 computations (48.5% saved)

simplify353.0ms (4.5%)

Memory
3.5MiB live, 120.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
cost-diff0
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal -1 binary64) y)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
cost-diff0
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
Rules
7 152×lower-fma.f32
7 146×lower-fma.f64
1 320×lower-+.f32
1 320×lower--.f32
1 316×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025157
040157
176157
2145153
3317153
4914153
52516153
64147153
74983153
85264153
95376153
105412153
115481153
125509153
135509153
145509153
155854153
165982153
175982153
05982153
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
y
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x
Outputs
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
y
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal -1 binary64) y)
(-.f64 y #s(literal 1 binary64))
#s(literal -1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
x

localize150.0ms (1.9%)

Memory
0.3MiB live, 164.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.00390625
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy0.015625
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
accuracy29.693592850614678
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
accuracy0
(+.f64 #s(literal -1 binary64) y)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
accuracy0.01171875
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
accuracy31.923462008750516
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
accuracy0
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy31.671079531508873
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
accuracy39.97907947989475
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(-.f64 #s(literal -1 binary64) y)
accuracy0.00390625
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
accuracy13.530098649764406
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
Samples
89.0ms200×0valid
37.0ms52×1valid
2.0ms2valid
Compiler

Compiled 134 to 24 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 53.0ms (55.8% of total)
ival-sub: 25.0ms (26.3% of total)
ival-add: 7.0ms (7.4% of total)
ival-div: 6.0ms (6.3% of total)
adjust: 3.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory
2.6MiB live, 40.2MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) (patch (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) y) (patch (+.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* y (- 1 x)))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) (taylor 0 y) (#s(alt (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (- 1 x)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- y 1)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) (patch (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) (patch (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) (patch (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) (patch (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify280.0ms (3.5%)

Memory
5.0MiB live, 231.6MiB allocated
Algorithm
egg-herbie
Rules
20 962×lower-fma.f64
20 962×lower-fma.f32
5 412×lower-+.f64
5 412×lower-+.f32
3 164×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02873487
19172992
227682679
082002528
Stop Event
iter limit
node limit
Counts
312 → 295
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))
(* -1 (- 1 x))
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(* -1 (- 1 x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
-1
(- y 1)
(- y 1)
(- y 1)
(+ 1 (* -1 (- 1 x)))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))
(* -1 (/ (- 1 x) y))
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y)
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(* y (- x 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* y (- 1 x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))
(* -1 (/ (- 1 x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(* y (- x 1))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
(* y (- 1 x))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(+ 1 (* -1 (/ y (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(/ -1 (+ 1 y))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
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-1
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(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))
(- y 1)
(- (+ y (* -1 (* x (- y 1)))) 1)
(- (+ y (* -1 (* x (- y 1)))) 1)
(- (+ y (* -1 (* x (- y 1)))) 1)
(- 1 (/ y (+ 1 y)))
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(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
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(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
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(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x y)
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* -1 (* x (* y (- y 1))))
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* -1 (* x (- y 1)))
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))
(* x (- (+ (* -1 (- y 1)) (/ y x)) (/ 1 x)))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(/ x (+ 1 y))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
(* -1 (- 1 x))
(-.f64 x #s(literal 1 binary64))
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(* -1 (- 1 x))
(-.f64 x #s(literal 1 binary64))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(* y (+ x (* y (- (* x y) x))))
(*.f64 (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) x) y x) y)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (*.f64 y y) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(+ 1 (* -1 (- 1 x)))
x
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))
(-.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y))
(* -1 (/ (- 1 x) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)
(/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y)
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))
(* (pow y 2) (- 1 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) y y) y)
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(*.f64 y (fma.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) x) y y))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(*.f64 y (fma.f64 (-.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) x) y y))
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(fma.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) y y)
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(fma.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) y y)
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(fma.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) x) y y)
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) y)) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(-.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(+ 1 (* -1 (- 1 x)))
x
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))
(-.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y))
(* -1 (/ (- 1 x) y))
(/.f64 (-.f64 x #s(literal 1 binary64)) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))
(/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
x
(+ x (* -1 (/ (- x 1) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(-.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y))
x
(+ x (* -1 (/ (- x 1) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(-.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y))
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
x
(+ x (* -1 (/ (- x 1) y)))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
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(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x)
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x)
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) x)) x)
(* -1 (* x (- y 1)))
(fma.f64 (neg.f64 y) x x)
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (-.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y) x x)
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (-.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y) x x)
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (-.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y) x x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)

rewrite351.0ms (4.4%)

Memory
-4.4MiB live, 239.0MiB allocated
Rules
5 116×lower-/.f32
5 112×lower-/.f64
4 968×lower-*.f32
4 964×lower-*.f64
3 910×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025139
040139
1178135
21539135
08363135
Stop Event
iter limit
node limit
iter limit
Counts
16 → 605
Calls
Call 1
Inputs
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal -1 binary64) y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) y)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (pow.f64 (+.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (pow.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) (pow.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64))
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(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 y #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))

eval348.0ms (4.4%)

Memory
0.6MiB live, 201.5MiB allocated
Compiler

Compiled 17 730 to 2 618 computations (85.2% saved)

prune202.0ms (2.5%)

Memory
2.1MiB live, 242.7MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New9309939
Fresh167
Picked145
Done011
Total93220952
Accuracy
99.9%
Counts
952 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
57.1%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
65.8%
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
78.9%
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
38.8%
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
67.8%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
38.4%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
50.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
50.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
37.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
50.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
53.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
14.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
37.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
15.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
40.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
37.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
41.0%
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Compiler

Compiled 514 to 293 computations (43% saved)

simplify166.0ms (2.1%)

Memory
-14.0MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
cost-diff0
(fma.f64 (neg.f64 y) x x)
cost-diff0
#s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x))
cost-diff0
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
#s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
cost-diff0
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
cost-diff704
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
Rules
15 816×lower-fma.f32
15 806×lower-fma.f64
2 972×lower-*.f32
2 970×lower-*.f64
1 634×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035224
054224
1103224
2209224
3608224
42333220
56231220
08050216
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) y)
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))
#s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))
#s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x))
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
y
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) y)
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))
#s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y #s(literal 1 binary64))
#s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x))
#s(approx (* (- 1 x) (+ -1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 (neg.f64 y) x x)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(neg.f64 y)
y
x
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64)))))
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))

localize107.0ms (1.4%)

Memory
15.4MiB live, 215.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.00390625
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy13.567397982381259
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
accuracy31.45933163008366
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
accuracy0
(neg.f64 y)
accuracy0.01171875
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))
accuracy31.499314800205674
#s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x))
accuracy31.923462008750516
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))
accuracy31.513751290743407
#s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64)))
accuracy31.923462008750516
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
accuracy37.75651919199039
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.08203125
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
accuracy13.53337155198317
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
accuracy14.041690093398417
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
Samples
58.0ms200×0valid
24.0ms52×1valid
2.0ms2valid
Compiler

Compiled 168 to 31 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 17.0ms (31.9% of total)
ival-add: 10.0ms (18.8% of total)
ival-div: 8.0ms (15% of total)
ival-sub: 7.0ms (13.2% of total)
adjust: 5.0ms (9.4% of total)
ival-neg: 5.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-15.6MiB live, 60.8MiB allocated
Counts
18 → 360
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (patch #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) (patch #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (+.f64 y #s(literal 1 binary64))) (patch (/.f64 y (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- y 1)))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) (patch #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x y) (+ 1 y))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (+ (* (neg y) x) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1) (neg y))
2.0ms
x
@inf
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (+ (* (neg y) x) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1) (neg y))
2.0ms
x
@0
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (+ (* (neg y) x) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1) (neg y))
2.0ms
x
@-inf
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (+ (* (neg y) x) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1) (neg y))
1.0ms
y
@0
((+ (* (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 y)) 1) (* (- 1 x) (/ y (+ (* y y) -1))) (- 1 x) (/ y (+ (* y y) -1)) (+ (* y (/ (- 1 x) (- -1 y))) 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (- y 1) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (* (- 1 x) (+ -1 y)) y) 1) (* (- 1 x) (+ -1 y)) (+ (* (neg y) x) x) (- 1 (/ (* (- 1 x) y) (+ y 1))) (/ (* (- 1 x) y) (+ y 1)) (/ y (+ y 1)) (+ y 1) (neg y))

simplify274.0ms (3.5%)

Memory
16.2MiB live, 327.5MiB allocated
Algorithm
egg-herbie
Rules
17 158×lower-fma.f64
17 158×lower-fma.f32
5 540×lower-+.f64
5 540×lower-+.f32
4 132×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03734241
111973852
237403603
086953407
Stop Event
iter limit
node limit
Counts
360 → 348
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* y (- x 1))) x)))))
(* -1 (* y (- 1 x)))
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- x 1))))
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- x 1))) 1))))
(* y (+ (* -1 (- 1 x)) (* (pow y 2) (- (+ x (* (pow y 2) (- (* (pow y 2) (- x 1)) (* -1 (- x 1))))) 1))))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(* -1 (- 1 x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
-1
(- y 1)
(- y 1)
(- y 1)
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(* -1 (- 1 x))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
(+ (* -1 (- 1 x)) (* y (- 1 x)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* y (- 1 x))
(* y (- (+ 1 (* y (- x 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x y)))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))
(/ (- 1 x) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ x (/ x (pow y 2)))) y)
(/ (- (+ 1 (/ 1 (pow y 4))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ x (pow y 4))))) y)
(/ (- (+ 1 (/ 1 (pow y 6))) (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (/ x (pow y 6)))))) y)
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(+ 1 (* -1 (- 1 x)))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* y (- 1 x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))
(* y (- 1 x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* y (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))
(/ (- 1 x) y)
(* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- 1 x) (pow y 2)))) y))
(* -1 (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- 1 x) (pow y 4))))) y))
(* -1 (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- 1 x) (pow y 4))) (* -1 (/ (- 1 x) (pow y 6)))))) y))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
(* y (- 1 x))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))
(* y (- 1 x))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* y (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(- 1 x)
(- (+ 1 (/ x y)) (+ x (/ 1 y)))
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ 1 (/ (* y (- 1 y)) (- (pow y 2) 1)))
(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1))))
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(+ 1 (+ (* -1 (/ (* x (* y (- 1 y))) (- (pow y 2) 1))) (/ (* y (- 1 y)) (- (pow y 2) 1))))
(/ y (- (pow y 2) 1))
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1)))
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1)))
(+ (* -1 (/ (* x y) (- (pow y 2) 1))) (/ y (- (pow y 2) 1)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 (/ y (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
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(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
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(- y 1)
(- (+ y (* -1 (* x (- y 1)))) 1)
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(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
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(- y 1)
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(- (+ y (* -1 (* x (- y 1)))) 1)
(* x (+ 1 (* -1 y)))
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(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
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(* x (+ (* -1 (/ (* y (- 1 y)) (- (pow y 2) 1))) (+ (/ 1 x) (/ (* y (- 1 y)) (* x (- (pow y 2) 1))))))
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(* -1 x)
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(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
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(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))
(* -1 (* x (- y 1)))
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(* x (+ 1 (* -1 y)))
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(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
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(* -1 x)
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(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ (* x y) (+ 1 y))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
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(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
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(/ (* x y) (+ 1 y))
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Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
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(* -1 y)
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(*.f64 (fma.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y) y #s(literal -1 binary64)) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
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1
#s(literal 1 binary64)
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(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
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#s(literal 1 binary64)
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1
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(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
1
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x
(+ x (* -1 (* x y)))
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1
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y
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1
#s(literal 1 binary64)
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x
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(* -1 (* x (- y 1)))
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(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (neg.f64 x) (-.f64 y (/.f64 (-.f64 y #s(literal 1 binary64)) x)) x)
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (neg.f64 x) (-.f64 y (/.f64 (-.f64 y #s(literal 1 binary64)) x)) x)
(* -1 (* x (- (+ y (* -1 (/ (- y 1) x))) 1)))
(fma.f64 (neg.f64 x) (-.f64 y (/.f64 (-.f64 y #s(literal 1 binary64)) x)) x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (/ (* x y) (+ 1 y)))
(*.f64 (neg.f64 x) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))
(*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))

rewrite214.0ms (2.7%)

Memory
-9.3MiB live, 305.6MiB allocated
Rules
5 332×lower-*.f32
5 330×lower-*.f64
3 824×lower-/.f32
3 820×lower-/.f64
3 778×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035205
054205
1257205
22347205
08248202
Stop Event
iter limit
node limit
iter limit
Counts
18 → 310
Calls
Call 1
Inputs
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))
#s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
(fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))
#s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x))
(fma.f64 (neg.f64 y) x x)
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
(neg.f64 y)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 y (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 y)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 y)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) y))
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(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 y #s(literal 1 binary64))))
(neg.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) y))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))
(neg.f64 y)
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))

eval84.0ms (1.1%)

Memory
47.8MiB live, 198.7MiB allocated
Compiler

Compiled 11 129 to 1 582 computations (85.8% saved)

prune106.0ms (1.3%)

Memory
-39.9MiB live, 215.6MiB allocated
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New6553658
Fresh2810
Picked145
Done055
Total65820678
Accuracy
99.9%
Counts
678 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
57.1%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
38.6%
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
78.9%
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
38.8%
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
67.8%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
38.4%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
3.0%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
50.0%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
37.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
50.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
53.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
37.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
15.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
14.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
40.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
37.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
41.0%
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Compiler

Compiled 468 to 260 computations (44.4% saved)

simplify160.0ms (2%)

Memory
16.2MiB live, 199.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (- 1 x) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
cost-diff0
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
cost-diff1024
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Rules
17 524×lower-fma.f32
17 518×lower-fma.f64
2 664×lower-*.f32
2 658×lower-*.f64
2 010×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035209
052209
190209
2196208
3689203
42636203
56160203
08062195
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 y y #s(literal -1 binary64))
y
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
y
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
Outputs
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 y y #s(literal -1 binary64))
y
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (-.f64 x #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64))
y
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)

localize108.0ms (1.4%)

Memory
10.2MiB live, 195.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal -1 binary64) y)
accuracy0.00390625
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
accuracy13.530098649764406
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
accuracy31.568263012334988
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0
(/.f64 x y)
accuracy0
(-.f64 x (/.f64 x y))
accuracy29.693592850614678
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
accuracy31.49740350742277
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
accuracy0
(*.f64 x y)
accuracy31.671079531508873
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
accuracy37.89016229767504
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy25.395975820901157
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
accuracy31.671079531508873
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
accuracy0.00390625
(*.f64 y (-.f64 #s(literal 1 binary64) x))
accuracy0.01953125
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
accuracy0.6198729273247608
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
accuracy27.111866997160888
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Samples
46.0ms200×0valid
31.0ms52×1valid
9.0ms2valid
Compiler

Compiled 158 to 32 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 19.0ms (33% of total)
adjust: 11.0ms (19.1% of total)
ival-div: 10.0ms (17.4% of total)
ival-sub: 9.0ms (15.6% of total)
ival-add: 8.0ms (13.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
24.4MiB live, 62.9MiB allocated
Counts
19 → 396
Calls
Call 1
Inputs
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) (patch #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
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#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- x 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) (taylor 0 y) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
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#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) (taylor -inf x) (#s(alt #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (patch #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) (patch #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) (taylor -inf x) (#s(alt (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (patch (fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- 1 x) #s(literal 1 binary64)) (patch #s(approx (- 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((+ (* (/ -1 (+ (* y y) -1)) (* (- y 1) (* y (- 1 x)))) 1) (/ -1 (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) (* y (- 1 x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (* y (- 1 x)))
3.0ms
x
@inf
((+ (* (/ -1 (+ (* y y) -1)) (* (- y 1) (* y (- 1 x)))) 1) (/ -1 (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) (* y (- 1 x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (* y (- 1 x)))
2.0ms
x
@0
((+ (* (/ -1 (+ (* y y) -1)) (* (- y 1) (* y (- 1 x)))) 1) (/ -1 (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) (* y (- 1 x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (* y (- 1 x)))
2.0ms
y
@-inf
((+ (* (/ -1 (+ (* y y) -1)) (* (- y 1) (* y (- 1 x)))) 1) (/ -1 (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) (* y (- 1 x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (* y (- 1 x)))
2.0ms
y
@inf
((+ (* (/ -1 (+ (* y y) -1)) (* (- y 1) (* y (- 1 x)))) 1) (/ -1 (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) (* y (- 1 x))) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (- 1 y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (+ (* (- x 1) y) 1) (* x y) (- 1 (/ (* (- 1 x) y) (+ y 1))) (* (/ y (+ y 1)) x) (- x (/ x y)) (/ x y) (+ (* y (/ (- 1 x) (- -1 y))) 1) (/ (- 1 x) (- -1 y)) (- 1 x) (- -1 y) (* y (- 1 x)))

simplify217.0ms (2.7%)

Memory
-16.5MiB live, 357.1MiB allocated
Algorithm
egg-herbie
Rules
18 254×lower-fma.f64
18 254×lower-fma.f32
4 136×lower-+.f64
4 136×lower-+.f32
4 112×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013967
19653518
229773079
085602921
Stop Event
iter limit
node limit
Counts
396 → 385
Calls
Call 1
Inputs
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))))
1
(+ 1 (pow y 2))
(+ 1 (* (pow y 2) (+ 1 (pow y 2))))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2))))))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(* -1 (* y (- 1 x)))
(* y (+ (* -1 (- 1 x)) (* y (- 1 x))))
(* y (+ (* -1 (- 1 x)) (* y (- 1 x))))
(* y (+ (* -1 (- 1 x)) (* y (- 1 x))))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(+ 1 (* y (- x 1)))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* y (- x 1)))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
1
(+ 1 (* -1 (* y (- 1 x))))
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))
(* -1 (- 1 x))
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y))
(/ -1 (pow y 2))
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(* y (- x 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(* y (- x 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* y (- (+ x (/ 1 y)) 1))
(* x y)
(* x y)
(* x y)
(* x y)
x
(- (+ x (/ 1 y)) (/ x y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(+ 1 (* -1 (- 1 x)))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))
(* -1 (/ (- 1 x) y))
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y)
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y)
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))
(/ -1 (pow y 2))
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
(* y (- x 1))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
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(* y (- x 1))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (/ (- x 1) y)))
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(+ 1 (* -1 (- 1 x)))
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))
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(* -1 (/ (- 1 x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y))
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(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
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(- 1 (/ y (+ 1 y)))
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
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(+ 1 (+ (* -1 y) (* x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(- 1 (/ y (+ 1 y)))
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(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))
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(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
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(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(+ 1 (* -1 (/ y (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))
(/ -1 (+ 1 y))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
(- (/ x (+ 1 y)) (/ 1 (+ 1 y)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1)))))
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1)))))
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1)))))
(* -1 (* x (* y (- y 1))))
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)))
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)))
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x y)
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x y)
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(/ x (+ 1 y))
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x y) (+ 1 y))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(/ x (+ 1 y))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (pow y 2))))
(fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2))))))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(* -1 (* y (- 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (+ (* -1 (- 1 x)) (* y (- 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(* y (+ (* -1 (- 1 x)) (* y (- 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(* y (+ (* -1 (- 1 x)) (* y (- 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- 1 x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) y x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* y (- 1 x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y) #s(literal 1 binary64))
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64)))) y #s(literal 1 binary64))
(* -1 (- 1 x))
(-.f64 x #s(literal 1 binary64))
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64)))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64))))
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ 1 (* -1 (- 1 x)))
x
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y))
(-.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y))
(/ -1 (pow y 2))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(*.f64 y (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y y))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(*.f64 y (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y y))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(*.f64 y (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) y y))
(* (pow y 2) (- 1 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) y)
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)))
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)))
(* y (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) y)
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* y (- (+ x (/ 1 y)) 1))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
x
(- (+ x (/ 1 y)) (/ x y))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 x y)) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) y) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(-.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
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(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(+ 1 (* -1 (- 1 x)))
x
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))
(-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))
(-.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y))
(* -1 (/ (- 1 x) y))
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(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) x)
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) x)
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) 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 y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 (/.f64 y x) y) x)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 (/.f64 y x) y) x)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 (/.f64 y x) y) x)
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))
(fma.f64 (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y (/.f64 y x))) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))
(fma.f64 (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y (/.f64 y x))) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))
(fma.f64 (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y (/.f64 y x))) x #s(literal 1 binary64))
(* -1 (* x (* y (- y 1))))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 y x) y)) x)
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 y x) y)) x)
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (/.f64 y x) y)) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))
(fma.f64 (-.f64 y (/.f64 y x)) x #s(literal 1 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 y #s(literal 1 binary64)))) x #s(literal 1 binary64))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) x)
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y x))) x)
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y 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 y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) y) x)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) y) x)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 (/.f64 y x) y) x)

rewrite157.0ms (2%)

Memory
-12.2MiB live, 256.0MiB allocated
Rules
5 158×lower-*.f32
5 152×lower-*.f64
4 752×lower-/.f32
4 746×lower-/.f64
3 438×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035190
052190
1235186
22009186
08807181
Stop Event
iter limit
node limit
iter limit
Counts
19 → 363
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
#s(approx (+ (* (- x 1) y) 1) (*.f64 x y))
(*.f64 x y)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
#s(approx (- 1 x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (log1p.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal -1 binary64) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (neg.f64 y)))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(neg.f64 (+.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal -1 binary64) y)
(+.f64 (neg.f64 y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 y (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (neg.f64 x)))
(+.f64 y (*.f64 (neg.f64 x) y))
(+.f64 y (*.f64 y (neg.f64 x)))

eval133.0ms (1.7%)

Memory
6.0MiB live, 232.0MiB allocated
Compiler

Compiled 12 801 to 1 570 computations (87.7% saved)

prune73.0ms (0.9%)

Memory
-26.5MiB live, 172.8MiB allocated
Pruning

21 alts after pruning (9 fresh and 12 done)

PrunedKeptTotal
New7453748
Fresh066
Picked145
Done189
Total74721768
Accuracy
99.9%
Counts
768 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.3%
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
37.9%
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- y 1) (* y (- 1 x))) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) #s(literal 1 binary64))
38.6%
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
78.9%
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
38.8%
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
67.8%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
38.4%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
3.0%
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
37.2%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
50.8%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
50.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
53.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
37.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
15.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
3.1%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
14.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
40.9%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
14.6%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
37.5%
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
41.0%
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Compiler

Compiled 615 to 275 computations (55.3% saved)

regimes42.0ms (0.5%)

Memory
17.1MiB live, 95.1MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- y 1) (* y (- 1 x))) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))
Calls

5 calls:

9.0ms
y
9.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
8.0ms
x
8.0ms
(-.f64 #s(literal 1 binary64) x)
7.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
78.9%1x
99.9%3y
99.8%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.8%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
78.9%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 25 to 23 computations (8% saved)

regimes24.0ms (0.3%)

Memory
9.3MiB live, 50.2MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(approx (* (- 1 x) (/ y (+ (* y y) -1))) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(approx (* (- y 1) (* y (- 1 x))) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Calls

3 calls:

9.0ms
y
7.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
6.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.7%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
99.7%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
99.8%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes8.0ms (0.1%)

Memory
-24.3MiB live, 14.6MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
99.8%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.2%)

Memory
-1.7MiB live, 37.2MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (/.f64 y (+.f64 y #s(literal 1 binary64)))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x))
(fma.f64 y (/.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Calls

3 calls:

6.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
6.0ms
y
6.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.7%4(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
98.7%4(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
99.0%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
98.9%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory
-5.3MiB live, 33.4MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
Calls

3 calls:

6.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
5.0ms
y
4.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
77.7%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
77.7%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
88.9%3y
Compiler

Compiled 21 to 17 computations (19% saved)

regimes5.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
88.9%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
11.3MiB live, 11.2MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
Outputs
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
88.7%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-36.6MiB live, 10.2MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (*.f64 (fma.f64 (neg.f64 y) x x) y)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (* (- 1 x) (+ -1 y)) y) 1) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (*.f64 #s(approx (/ y (+ y 1)) (fma.f64 (neg.f64 y) y y)) x))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

1 calls:

9.0ms
y
Results
AccuracySegmentsBranch
88.2%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory
31.3MiB live, 31.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

5 calls:

3.0ms
y
3.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
3.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.1%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
75.1%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
55.4%3(-.f64 #s(literal 1 binary64) x)
55.4%3x
75.0%3y
Compiler

Compiled 25 to 23 computations (8% saved)

regimes7.0ms (0.1%)

Memory
-26.0MiB live, 12.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) #s(approx (/ y (+ y 1)) #s(literal 1 binary64))))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) #s(approx (/ (* (- 1 x) y) (+ y 1)) (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

2 calls:

4.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
2.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.0%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
75.0%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) #s(approx (- 1 y) (neg.f64 y))))
Outputs
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
#s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Calls

2 calls:

2.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
2.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
75.0%3(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
75.0%3(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes7.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
1.0ms
(-.f64 #s(literal 1 binary64) x)
1.0ms
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
41.0%1(-.f64 #s(literal 1 binary64) x)
41.0%1x
41.0%1y
41.0%1(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))))
41.0%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 25 to 23 computations (8% saved)

bsearch34.0ms (0.4%)

Memory
-9.5MiB live, 68.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
0.0036323078161761865
116810.1505305627
17.0ms
-2.665848502116658e+19
-5484351528070541.0
Samples
11.0ms201×0valid
9.0ms71×1valid
Compiler

Compiled 436 to 347 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 5.0ms (37.4% of total)
adjust: 2.0ms (15% of total)
ival-div: 2.0ms (15% of total)
ival-mult: 2.0ms (15% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch47.0ms (0.6%)

Memory
-16.1MiB live, 24.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
8298913.600738186
8957053726912653.0
1.0ms
-2.665848502116658e+19
-5484351528070541.0
Samples
7.0ms135×0valid
1.0ms1valid
Compiler

Compiled 337 to 302 computations (10.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (42.3% of total)
ival-div: 1.0ms (21.1% of total)
ival-add: 1.0ms (21.1% of total)
ival-mult: 1.0ms (21.1% 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)

bsearch11.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
8298913.600738186
8957053726912653.0
1.0ms
-2.665848502116658e+19
-5484351528070541.0
Samples
5.0ms96×0valid
Compiler

Compiled 320 to 302 computations (5.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (33% of total)
ival-sub: 1.0ms (33% of total)
ival-add: 1.0ms (33% of total)
ival-mult: 1.0ms (33% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch50.0ms (0.6%)

Memory
14.1MiB live, 52.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.0036323078161761865
116810.1505305627
35.0ms
-45.907362594512435
-5.1117044961289765e-24
Samples
35.0ms304×0valid
Compiler

Compiled 394 to 373 computations (5.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (33.5% of total)
ival-div: 2.0ms (22.4% of total)
ival-mult: 2.0ms (22.4% of total)
ival-add: 1.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
-32.9MiB live, 6.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0036323078161761865
116810.1505305627
22.0ms
-45.907362594512435
-5.1117044961289765e-24
Compiler

Compiled 394 to 393 computations (0.3% saved)

bsearch13.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
116810.1505305627
8298913.600738186
1.0ms
-45.907362594512435
-5.1117044961289765e-24
Samples
6.0ms112×0valid
Compiler

Compiled 338 to 337 computations (0.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div: 1.0ms (29.7% of total)
ival-sub: 1.0ms (29.7% of total)
ival-mult: 1.0ms (29.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
116810.1505305627
8298913.600738186
1.0ms
-45.907362594512435
-5.1117044961289765e-24
Compiler

Compiled 320 to 301 computations (5.9% saved)

bsearch15.0ms (0.2%)

Memory
-27.8MiB live, 11.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
0.0036323078161761865
116810.1505305627
1.0ms
-45.907362594512435
-5.1117044961289765e-24
Samples
11.0ms48×0valid
Compiler

Compiled 294 to 293 computations (0.3% saved)

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

bsearch2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0036323078161761865
116810.1505305627
1.0ms
-45.907362594512435
-5.1117044961289765e-24
Compiler

Compiled 194 to 233 computations (-20.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0036191619060966644
0.9967336070427049
0.0ms
-1.443402395864079e+27
-3.1605225707113435e+26
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0036191619060966644
0.9967336070427049
0.0ms
-1.443402395864079e+27
-3.1605225707113435e+26
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0036191619060966644
0.9967336070427049
0.0ms
-1.443402395864079e+27
-3.1605225707113435e+26
Compiler

Compiled 14 to 14 computations (0% saved)

simplify96.0ms (1.2%)

Memory
-9.0MiB live, 75.0MiB allocated
Algorithm
egg-herbie
Rules
188×unsub-neg-binary64--.f64-neg.f64-+.f64
176×distribute-lft-neg-in-binary64-*.f64-neg.f64
132×neg-mul-1-binary64-*.f64-neg.f64
90×neg-sub0-binary64--.f64-neg.f64
80×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110842
1138842
2178842
3216842
4240842
5263842
6318842
7395842
8496842
9599842
10661842
11701842
12722842
13735842
14747842
15758842
16763842
17764842
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -5500000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 12200 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))))
(if (<=.f64 y #s(literal -5500000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 35000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -5500000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 150000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 118000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) (+.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 118000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (fma.f64 (neg.f64 y) x x)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y)))) (if (<=.f64 y #s(literal 4728779608739021/4503599627370496 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (* (/ y (+ y 1)) x) (-.f64 x (/.f64 x y))))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000000000013287555072 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (fma.f64 #s(approx (* (- 1 x) (+ -1 y)) (-.f64 y #s(literal 1 binary64))) y #s(literal 1 binary64))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000000000013287555072 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(approx (+ (* (- x 1) y) 1) (-.f64 #s(literal 1 binary64) y))) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
(if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal -1000000000000000013287555072 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x) (if (<=.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) #s(literal 1 binary64)) #s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)))
#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)
Outputs
(if (<=.f64 y #s(literal -5500000000000000 binary64)) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) y))) (if (<=.f64 y #s(literal 12200 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) #s(approx (- 1 (/ (* (- 1 x) y) (+ y 1))) (-.f64 x (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 x #s(literal 1 binary64))) y)))))
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#s(approx (+ (* y (/ (- 1 x) (- -1 y))) 1) x)

soundness1.2s (15.2%)

Memory
2.4MiB live, 717.0MiB allocated
Rules
20 962×lower-fma.f64
20 962×lower-fma.f32
13 336×lower-fma.f64
13 336×lower-fma.f32
6 332×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
253331
0851730
02873487
19172992
227682679
082002528
0127823
1400799
21127684
34559669
08305648
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 605 to 266 computations (56% saved)

preprocess252.0ms (3.2%)

Memory
28.3MiB live, 184.6MiB allocated
Compiler

Compiled 894 to 236 computations (73.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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