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

Time bar (total: 8.2s)

analyze42.0ms (0.5%)

Memory
-15.6MiB live, 23.7MiB allocated
Algorithm
1×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 9 to 8 computations (11.1% saved)

sample551.0ms (6.7%)

Memory
41.7MiB live, 1 189.0MiB allocated
Samples
345.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-sub: 98.0ms (59.3% of total)
ival-div: 54.0ms (32.7% of total)
ival-true: 6.0ms (3.6% of total)
exact: 5.0ms (3% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

preprocess98.0ms (1.2%)

Memory
-0.4MiB live, 116.9MiB allocated
Algorithm
1×egg-herbie
Rules
288×lower-fma.f64
288×lower-fma.f32
234×div-sub
230×unsub-neg
200×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15138
212536
335635
480035
5126535
6147735
7155535
8161335
9162635
067
097
1177
2247
3397
4727
51397
63187
75447
86977
97137
107147
07147
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))

explain61.0ms (0.7%)

Memory
-20.9MiB live, 136.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-y
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-#s(literal 1 binary64)
00-0-(-.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms512×0valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 9.0ms (71% of total)
ival-div: 3.0ms (23.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify28.0ms (0.3%)

Memory
8.7MiB live, 49.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Rules
288×lower-fma.f64
288×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
142×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
22416
33916
47216
513916
631816
754416
869716
971316
1071416
071416
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 y x) (+.f64 y #s(literal -1 binary64)))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize18.0ms (0.2%)

Memory
4.4MiB live, 43.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
11.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 3.0ms (55.5% of total)
ival-div: 2.0ms (37% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 x y)>
#<alt (-.f64 #s(literal 1 binary64) y)>
Outputs
#<alt (* -1 (/ y (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))>
#<alt (/ x (- 1 y))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))>
#<alt (/ x (- 1 y))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))>
#<alt x>
#<alt (+ x (* -1 (* y (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))>
#<alt 1>
#<alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y)))>
#<alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- x 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))>
#<alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
Calls

15 calls:

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

rewrite300.0ms (3.7%)

Memory
-9.9MiB live, 556.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 514×lower-*.f64
4 514×lower-*.f32
3 690×lower-fma.f64
3 690×lower-fma.f32
3 320×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14713
235613
3496713
0935613
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 493
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(+.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)))
(+.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y y)) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) y))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) y))
(+.f64 (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 x y) (+.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (+.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x y))))
(-.f64 (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y)) (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)))
(fma.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y y y) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (/.f64 y (+.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 y) (/.f64 x (+.f64 y #s(literal 1 binary64))))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))

simplify317.0ms (3.9%)

Memory
-8.0MiB live, 599.6MiB allocated
Algorithm
1×egg-herbie
Rules
13 832×lower-fma.f64
13 832×lower-fma.f32
2 816×lower-*.f64
2 816×lower-*.f32
2 668×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096384
1281358
2788338
32735311
47419311
08107302
Stop Event
1×iter limit
1×node limit
Counts
60 → 56
Calls
Call 1
Inputs
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(* -1 (/ y (- 1 y)))
(/.f64 y (+.f64 #s(literal -1 binary64) y))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y)) (-.f64 x y))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(-.f64 (fma.f64 y x x) y)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 1) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
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 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)
(* -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)

eval63.0ms (0.8%)

Memory
2.1MiB live, 157.2MiB allocated
Compiler

Compiled 12 494 to 1 307 computations (89.5% saved)

prune70.0ms (0.9%)

Memory
9.5MiB live, 168.6MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5418549
Fresh000
Picked101
Done000
Total5428550
Accuracy
100.0%
Counts
550 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.2%
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)
▶51.3%
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
▶50.3%
(/.f64 (-.f64 x y) (neg.f64 y))
▶49.1%
(/.f64 y (+.f64 #s(literal -1 binary64) y))
▶52.4%
(/.f64 x (-.f64 #s(literal 1 binary64) y))
51.1%
(-.f64 (fma.f64 y x x) y)
50.0%
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
▶36.1%
#s(literal 1 binary64)
Compiler

Compiled 136 to 86 computations (36.8% saved)

simplify460.0ms (5.6%)

Memory
-0.6MiB live, 474.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y y (+.f64 y #s(literal 1 binary64)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) x)
✓cost-diff0
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
✓cost-diff128
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(-.f64 x y)
✓cost-diff128
(/.f64 (-.f64 x y) (neg.f64 y))
✓cost-diff0
(+.f64 #s(literal -1 binary64) y)
✓cost-diff0
(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) y))
Rules
15 832×lower-fma.f32
15 828×lower-fma.f64
2 806×lower-+.f32
2 800×lower-+.f64
2 592×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01674
03074
15874
217474
365273
4219573
5548373
0826272
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 1 binary64)
(/.f64 y (+.f64 #s(literal -1 binary64) y))
y
(+.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 x y)
x
y
(neg.f64 y)
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
y
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(fma.f64 y y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 1 binary64)
(/.f64 y (+.f64 #s(literal -1 binary64) y))
(/.f64 y (+.f64 y #s(literal -1 binary64)))
y
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 x y) (neg.f64 y))
(/.f64 (-.f64 y x) y)
(-.f64 x y)
x
y
(neg.f64 y)
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
(fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y (fma.f64 y y y) y) x)
y
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
x
(fma.f64 y y (+.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize86.0ms (1.1%)

Memory
-6.4MiB live, 76.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
✓accuracy99.9%
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(/.f64 (-.f64 x y) (neg.f64 y))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) y)
✓accuracy100.0%
(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) y))
Samples
55.0ms256×0valid
Compiler

Compiled 80 to 20 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 30.0ms (68.8% of total)
ival-add: 5.0ms (11.5% of total)
ival-mult: 4.0ms (9.2% of total)
ival-sub: 3.0ms (6.9% of total)
ival-neg: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-15.4MiB live, 23.4MiB allocated
Counts
12 → 204
Calls
Call 1
Inputs
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 y (+.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 (-.f64 x y) (neg.f64 y))>
#<alt (-.f64 x y)>
#<alt (neg.f64 y)>
#<alt (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)>
#<alt (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal -1 binary64) x)>
#<alt (fma.f64 y y (+.f64 y #s(literal 1 binary64)))>
#<alt (+.f64 y #s(literal 1 binary64))>
Outputs
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt (/ x (- 1 y))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* y (- (* x y) (* -1 x))))>
#<alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ (* -1 x) (* -1 (/ x y))) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)>
#<alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ (+ x (/ x y)) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))>
#<alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 y)>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* y (- (* -1 y) 1)) 1))>
#<alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))>
#<alt (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))>
#<alt 1>
#<alt (+ 1 (/ 1 y))>
#<alt (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt (/ (+ y (* -1 x)) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt x>
#<alt (+ x (* y (- x 1)))>
#<alt (+ x (* y (- (+ x (* y (- x 1))) 1)))>
#<alt (+ x (* y (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)))>
#<alt (* (pow y 3) (- x 1))>
#<alt (* (pow y 3) (- (+ x (/ x y)) (+ 1 (/ 1 y))))>
#<alt (* (pow y 3) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* (pow y 3) (- (+ x (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* (pow y 3) (- x 1))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1) y)))))>
#<alt (* -1 (* y (+ 1 (+ y (pow y 2)))))>
#<alt (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))>
#<alt (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))>
#<alt (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))>
#<alt (* x (+ 1 (* y (+ 1 (+ y (pow y 2))))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))>
#<alt (* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))>
#<alt (* -1 (* x (- (* -1 (* y (+ 1 (+ y (pow y 2))))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))>
#<alt (* -1 (+ 1 (+ y (pow y 2))))>
#<alt (+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))>
#<alt (+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))>
#<alt (+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))>
#<alt (* x (+ 1 (+ y (pow y 2))))>
#<alt (* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))>
#<alt (* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))>
#<alt (* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))>
#<alt (* x (+ 1 (+ y (pow y 2))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))>
#<alt (- x 1)>
#<alt (- (+ x (* y (- x 1))) 1)>
#<alt (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)>
#<alt (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)>
#<alt (* (pow y 2) (- x 1))>
#<alt (* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* (pow y 2) (- x 1))>
#<alt (* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))>
#<alt (* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1))>
#<alt (* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 (* y (+ 1 y)))>
#<alt (+ 1 (* y (+ 1 y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

51 calls:

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

rewrite656.0ms (8%)

Memory
29.2MiB live, 468.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 176×lower-fma.f32
6 172×lower-fma.f64
4 642×lower-/.f32
4 636×lower-/.f64
3 610×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
03062
114962
2133362
0858762
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 877
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(/.f64 y (+.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal -1 binary64) y)
(/.f64 (-.f64 x y) (neg.f64 y))
(-.f64 x y)
(neg.f64 y)
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 y y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(neg.f64 (/.f64 x (+.f64 y #s(literal -1 binary64))))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x)))
(/.f64 (neg.f64 x) (+.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
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(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)) (fma.f64 y (*.f64 y y) #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) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.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 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y)))
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.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 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))

simplify791.0ms (9.7%)

Memory
3.5MiB live, 640.7MiB allocated
Algorithm
1×egg-herbie
Rules
20 698×lower-fma.f64
20 698×lower-fma.f32
4 182×lower-+.f64
4 182×lower-+.f32
3 784×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981539
16081472
220531308
084051229
Stop Event
1×iter limit
1×node limit
Counts
204 → 193
Calls
Call 1
Inputs
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
-1
(- y 1)
(- y 1)
(- y 1)
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 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
(/ (+ y (* -1 x)) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* y (- x 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(+ x (* y (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)))
(* (pow y 3) (- x 1))
(* (pow y 3) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 3) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(* (pow y 3) (- (+ x (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(* (pow y 3) (- x 1))
(* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y)))))
(* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)))))
(* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1) y)))))
(* -1 (* y (+ 1 (+ y (pow y 2)))))
(+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))
(+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))
(+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))
(* x (+ 1 (* y (+ 1 (+ y (pow y 2))))))
(* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))
(* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))
(* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))
(* -1 (* x (- (* -1 (* y (+ 1 (+ y (pow y 2))))) 1)))
(* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))
(* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))
(* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))
(* -1 (+ 1 (+ y (pow y 2))))
(+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))
(* x (+ 1 (+ y (pow y 2))))
(* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))
(* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))
(* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))
(- x 1)
(- (+ x (* y (- x 1))) 1)
(- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)
(- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
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)))
Outputs
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(+ x (* x y))
(fma.f64 x y x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 y (fma.f64 x y x) x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 y (fma.f64 y (fma.f64 x y x) x) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ (+ x (/ x y)) y))
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) y)
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 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)
(* -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)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y y y) y)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
-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))
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
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* y (- x 1)))
(fma.f64 x y (-.f64 x y))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) x)
(+ x (* y (- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)))
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) x) (-.f64 x y))
(* (pow y 3) (- x 1))
(*.f64 (*.f64 y y) (-.f64 (*.f64 x y) y))
(* (pow y 3) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(neg.f64 (*.f64 y (fma.f64 y (fma.f64 x (neg.f64 y) y) (fma.f64 x (neg.f64 y) y))))
(* (pow y 3) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x y) y)) (fma.f64 y (fma.f64 x (neg.f64 y) y) (fma.f64 x (neg.f64 y) y)))
(* (pow y 3) (- (+ x (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(*.f64 y (fma.f64 (*.f64 y y) (+.f64 x (/.f64 (+.f64 x (/.f64 (+.f64 x (/.f64 x y)) y)) y)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(* (pow y 3) (- x 1))
(*.f64 (*.f64 y y) (-.f64 (*.f64 x y) y))
(* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y)))))
(neg.f64 (*.f64 y (fma.f64 y (fma.f64 x (neg.f64 y) y) (fma.f64 x (neg.f64 y) y))))
(* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (/ x y)) (+ 1 (/ 1 y))) y)))))
(-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x y) y)) (fma.f64 y (fma.f64 x (neg.f64 y) y) (fma.f64 x (neg.f64 y) y)))
(* -1 (* (pow y 3) (+ (* -1 (- x 1)) (* -1 (/ (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1) y)))))
(-.f64 (*.f64 (*.f64 y y) (-.f64 (*.f64 x y) y)) (*.f64 (+.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) y) (-.f64 #s(literal 1 binary64) x)) (*.f64 y y)))
(* -1 (* y (+ 1 (+ y (pow y 2)))))
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))
(fma.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 x #s(literal -1 binary64)) x)
(+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))
(fma.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 x #s(literal -1 binary64)) x)
(+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (* x (+ 1 (* y (+ 1 (+ y (pow y 2)))))))
(fma.f64 (fma.f64 y (fma.f64 y y y) y) (+.f64 x #s(literal -1 binary64)) x)
(* x (+ 1 (* y (+ 1 (+ y (pow y 2))))))
(fma.f64 y (fma.f64 x (fma.f64 y y y) x) x)
(* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 y (/.f64 y x))) x)
(* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 y (/.f64 y x))) x)
(* x (+ 1 (+ (* -1 (/ (* y (+ 1 (+ y (pow y 2)))) x)) (* y (+ 1 (+ y (pow y 2)))))))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 y (/.f64 y x))) x)
(* -1 (* x (- (* -1 (* y (+ 1 (+ y (pow y 2))))) 1)))
(fma.f64 y (fma.f64 x (fma.f64 y y y) x) x)
(* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 y (/.f64 y x))) x)
(* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 y (/.f64 y x))) x)
(* -1 (* x (- (+ (* -1 (* y (+ 1 (+ y (pow y 2))))) (/ (* y (+ 1 (+ y (pow y 2)))) x)) 1)))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 y (/.f64 y x))) x)
(* -1 (+ 1 (+ y (pow y 2))))
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(+ (* -1 (+ 1 (+ y (pow y 2)))) (* x (+ 1 (+ y (pow y 2)))))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(* x (+ 1 (+ y (pow y 2))))
(fma.f64 x (fma.f64 y y y) x)
(* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))
(fma.f64 x (+.f64 (fma.f64 y y y) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) x)) x)
(* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))
(fma.f64 x (+.f64 (fma.f64 y y y) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) x)) x)
(* x (+ 1 (+ y (+ (* -1 (/ (+ 1 (+ y (pow y 2))) x)) (pow y 2)))))
(fma.f64 x (+.f64 (fma.f64 y y y) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) x)) x)
(* x (+ 1 (+ y (pow y 2))))
(fma.f64 x (fma.f64 y y y) x)
(* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))
(fma.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal -1 binary64))
(* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))
(fma.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal -1 binary64))
(* -1 (* x (+ (* -1 (+ 1 (+ y (pow y 2)))) (+ (/ 1 x) (+ (/ y x) (/ (pow y 2) x))))))
(fma.f64 (neg.f64 x) (fma.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (+ x (* y (- x 1))) 1)
(*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64)))
(- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)
(+.f64 x (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(- (+ x (* y (- (+ x (* y (- x 1))) 1))) 1)
(+.f64 x (fma.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(* (pow y 2) (- x 1))
(*.f64 y (-.f64 (*.f64 x y) y))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y (fma.f64 x (neg.f64 y) y) (fma.f64 x (neg.f64 y) y)))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(*.f64 y (fma.f64 y (+.f64 x (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) (neg.f64 y)))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(*.f64 y (fma.f64 y (+.f64 x (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) (neg.f64 y)))
(* (pow y 2) (- x 1))
(*.f64 y (-.f64 (*.f64 x y) y))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y (fma.f64 x (neg.f64 y) y) (fma.f64 x (neg.f64 y) y)))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1))
(*.f64 y (fma.f64 y (+.f64 x (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) (neg.f64 y)))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- x 1) y))) y))) 1))
(*.f64 y (fma.f64 y (+.f64 x (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y))) y)) (neg.f64 y)))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
(+ 1 (* y (+ 1 y)))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
(* (pow y 2) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)

eval180.0ms (2.2%)

Memory
-14.1MiB live, 301.0MiB allocated
Compiler

Compiled 27 005 to 3 003 computations (88.9% saved)

prune127.0ms (1.6%)

Memory
15.4MiB live, 331.9MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1 06281 070
Fresh303
Picked145
Done000
Total1 066121 078
Accuracy
100.0%
Counts
1 078 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.1%
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
38.2%
(fma.f64 x y x)
✓50.3%
(/.f64 (-.f64 x y) (neg.f64 y))
▶16.7%
(/.f64 (neg.f64 x) y)
✓49.1%
(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓52.4%
(/.f64 x (-.f64 #s(literal 1 binary64) y))
38.9%
(/.f64 x #s(literal 1 binary64))
▶50.3%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
15.6%
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
▶15.1%
(*.f64 y (-.f64 #s(literal -1 binary64) y))
▶15.4%
(neg.f64 y)
✓36.1%
#s(literal 1 binary64)
Compiler

Compiled 131 to 88 computations (32.8% saved)

simplify52.0ms (0.6%)

Memory
13.8MiB live, 52.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(/.f64 (neg.f64 x) y)
✓cost-diff0
(-.f64 #s(literal -1 binary64) y)
✓cost-diff0
(*.f64 y (-.f64 #s(literal -1 binary64) y))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff0
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
Rules
688×lower-fma.f32
686×lower-fma.f64
312×lower-*.f32
310×lower-*.f64
192×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
02344
14144
27144
312344
422344
535244
663544
790544
896044
999644
10110944
11112244
12113444
13113644
0113644
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
y
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(neg.f64 y)
y
(*.f64 y (-.f64 #s(literal -1 binary64) y))
y
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
Outputs
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(-.f64 (fma.f64 y x x) y)
y
(+.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(neg.f64 y)
y
(*.f64 y (-.f64 #s(literal -1 binary64) y))
y
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(neg.f64 x)
x
y
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y

localize96.0ms (1.2%)

Memory
-31.0MiB live, 86.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓accuracy100.0%
(/.f64 (neg.f64 x) y)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) y)
✓accuracy100.0%
(*.f64 y (-.f64 #s(literal -1 binary64) y))
✓accuracy100.0%
(neg.f64 y)
✓accuracy100.0%
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
Samples
78.0ms256×0valid
Compiler

Compiled 47 to 16 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sub: 23.0ms (64.7% of total)
ival-div: 4.0ms (11.3% of total)
ival-add: 3.0ms (8.4% of total)
ival-mult: 3.0ms (8.4% of total)
ival-neg: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
9 → 156
Calls
Call 1
Inputs
#<alt (fma.f64 y (+.f64 x #s(literal -1 binary64)) x)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (neg.f64 y)>
#<alt (*.f64 y (-.f64 #s(literal -1 binary64) y))>
#<alt (-.f64 #s(literal -1 binary64) y)>
#<alt (/.f64 (neg.f64 x) y)>
#<alt (neg.f64 x)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (/.f64 x y)>
Outputs
#<alt x>
#<alt (+ x (* y (- x 1)))>
#<alt (+ x (* y (- x 1)))>
#<alt (+ x (* y (- x 1)))>
#<alt (* y (- x 1))>
#<alt (* y (- (+ x (/ x y)) 1))>
#<alt (* y (- (+ x (/ x y)) 1))>
#<alt (* y (- (+ x (/ x y)) 1))>
#<alt (* y (- x 1))>
#<alt (* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (+ (* -1 y) (* x (+ 1 y)))>
#<alt (+ (* -1 y) (* x (+ 1 y)))>
#<alt (+ (* -1 y) (* x (+ 1 y)))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 (+ y (* -1 (/ y x)))))>
#<alt (* x (+ 1 (+ y (* -1 (/ y x)))))>
#<alt (* x (+ 1 (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* -1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt -1>
#<alt (- (* -1 y) 1)>
#<alt (- (* -1 y) 1)>
#<alt (- (* -1 y) 1)>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (/ x y))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (* -1 (/ x y))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* x (- (/ 1 x) (/ 1 y)))>
#<alt (* -1 (/ x y))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 y) (/ 1 x))))>
#<alt (* -1 (/ x y))>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt (/ (- y x) y)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (+ 1 (* -1 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

39 calls:

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

rewrite260.0ms (3.2%)

Memory
-3.7MiB live, 553.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 606×lower-fma.f32
6 604×lower-fma.f64
3 844×lower-*.f32
3 842×lower-*.f64
3 318×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
02333
19633
269933
0848633
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 462
Calls
Call 1
Inputs
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(+.f64 x #s(literal -1 binary64))
(neg.f64 y)
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal -1 binary64) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
Outputs
(+.f64 x (fma.f64 y x (neg.f64 y)))
(+.f64 (neg.f64 y) (fma.f64 y x x))
(+.f64 (fma.f64 y x (neg.f64 y)) x)
(+.f64 (*.f64 y x) (+.f64 x (neg.f64 y)))
(+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(+.f64 (fma.f64 y x x) (neg.f64 y))
(+.f64 (+.f64 x (neg.f64 y)) (*.f64 y x))
(+.f64 (+.f64 (fma.f64 y x x) #s(literal 0 binary64)) (neg.f64 y))
(-.f64 (fma.f64 y x (neg.f64 y)) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 x) (fma.f64 y x (neg.f64 y))))
(-.f64 (*.f64 y x) (-.f64 y x))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x)))
(-.f64 (fma.f64 y x x) y)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (fma.f64 y x (neg.f64 y)))) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (-.f64 x (fma.f64 y x (neg.f64 y)))))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (neg.f64 x))
(-.f64 (+.f64 (fma.f64 y x x) #s(literal 0 binary64)) y)
(fma.f64 y x (+.f64 x (neg.f64 y)))
(fma.f64 y #s(literal -1 binary64) (fma.f64 y x x))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(fma.f64 y (/.f64 (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 x y (+.f64 x (neg.f64 y)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 y x (neg.f64 y)))
(fma.f64 x (+.f64 #s(literal 1 binary64) y) (neg.f64 y))
(fma.f64 #s(literal -1 binary64) y (fma.f64 y x x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (fma.f64 y x (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (+.f64 x (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (+.f64 y (neg.f64 x)) (*.f64 y x))
(fma.f64 (+.f64 x #s(literal -1 binary64)) y x)
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y (fma.f64 y x (neg.f64 y))) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (neg.f64 y) (neg.f64 x) (+.f64 x (neg.f64 y)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (fma.f64 y x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) x (fma.f64 y x (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (+.f64 x (neg.f64 y)))
(fma.f64 (fma.f64 y x (neg.f64 y)) (/.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (-.f64 x (fma.f64 y x (neg.f64 y)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) y) x)
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) x)
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) y) x)
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y x x))
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (fma.f64 y x x))
(fma.f64 (fma.f64 y (*.f64 y (neg.f64 y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 y x))))) x)
(fma.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (fma.f64 y x y)) (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) x)
(fma.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (*.f64 y (fma.f64 y x (neg.f64 y))) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 y (-.f64 (fma.f64 y x (neg.f64 y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) x)
(fma.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(fma.f64 (+.f64 y #s(literal 1 binary64)) x (neg.f64 y))
(fma.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) x)
(fma.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x) x)
(fma.f64 (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (*.f64 (-.f64 (fma.f64 y x x) y) (-.f64 (fma.f64 y x (neg.f64 y)) x))) (-.f64 (fma.f64 y x x) y) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(fma.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (-.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))))) (*.f64 x (*.f64 x x)))) (fma.f64 y (*.f64 y (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 x (-.f64 (fma.f64 y x x) y))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 y x (neg.f64 y)) x))))
(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (-.f64 x (fma.f64 y x (neg.f64 y)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x)))) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (-.f64 x (fma.f64 y x (neg.f64 y)))) (-.f64 (fma.f64 y x (neg.f64 y)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x x) y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x))) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (-.f64 (fma.f64 y x (neg.f64 y)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (-.f64 x (fma.f64 y x (neg.f64 y)))) (-.f64 x (fma.f64 y x (neg.f64 y))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (fma.f64 y x (neg.f64 y)) #s(literal 9 binary64))) (*.f64 (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x)) (fma.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))))))))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))))) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))))) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 y x x) y) (fma.f64 (fma.f64 y x (neg.f64 y)) (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))))) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 y x (neg.f64 y)) x) (fma.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (fma.f64 y x (neg.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))))) (*.f64 (*.f64 x x) (fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))) (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))) (*.f64 x x)) (*.f64 (-.f64 (fma.f64 y x x) y) (-.f64 (fma.f64 y x (neg.f64 y)) x))) (*.f64 (-.f64 (fma.f64 y x (neg.f64 y)) x) (fma.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 y (fma.f64 y x (neg.f64 y)))) (-.f64 (fma.f64 y x (neg.f64 y)) x)) (*.f64 (-.f64 (fma.f64 y x (neg.f64 y)) x) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 y x (neg.f64 y)) x) (-.f64 (fma.f64 y x (neg.f64 y)) x)))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (fma.f64 x (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y) (-.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 (*.f64 x x) (/.f64 x (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (*.f64 x x) (*.f64 y (neg.f64 y))) (/.f64 x (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x x) y) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) y) (/.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 y (neg.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y (neg.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) y)) (*.f64 x x))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 x) (*.f64 y (neg.f64 y))) y)

simplify636.0ms (7.8%)

Memory
28.5MiB live, 506.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 742×lower-fma.f64
8 742×lower-fma.f32
3 426×lower-*.f64
3 426×lower-*.f32
2 734×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057623
1168605
2477587
31574587
45389587
08226567
Stop Event
1×iter limit
1×node limit
Counts
156 → 153
Calls
Call 1
Inputs
x
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
(* y (- x 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
(* y (- x 1))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 y)
(+ (* -1 y) (* x (+ 1 y)))
(+ (* -1 y) (* x (+ 1 y)))
(+ (* -1 y) (* x (+ 1 y)))
(* x (+ 1 y))
(* x (+ 1 (+ y (* -1 (/ y x)))))
(* x (+ 1 (+ y (* -1 (/ y x)))))
(* x (+ 1 (+ y (* -1 (/ y x)))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 (/ x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (/ x y))
(/ (- y x) y)
(/ (- y x) y)
(/ (- y x) y)
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
1
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(+ 1 (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
x
(+ x (* y (- x 1)))
(-.f64 (fma.f64 x y x) y)
(+ x (* y (- x 1)))
(-.f64 (fma.f64 x y x) y)
(+ x (* y (- x 1)))
(-.f64 (fma.f64 x y x) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* y (- (+ x (/ x y)) 1))
(-.f64 (fma.f64 x y x) y)
(* y (- (+ x (/ x y)) 1))
(-.f64 (fma.f64 x y x) y)
(* y (- (+ x (/ x y)) 1))
(-.f64 (fma.f64 x y x) y)
(* y (- x 1))
(-.f64 (*.f64 x y) y)
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(-.f64 (fma.f64 x y x) y)
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(-.f64 (fma.f64 x y x) y)
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(-.f64 (fma.f64 x y x) y)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (+ 1 y)))
(-.f64 (fma.f64 x y x) y)
(+ (* -1 y) (* x (+ 1 y)))
(-.f64 (fma.f64 x y x) y)
(+ (* -1 y) (* x (+ 1 y)))
(-.f64 (fma.f64 x y x) y)
(* x (+ 1 y))
(fma.f64 x y x)
(* x (+ 1 (+ y (* -1 (/ y x)))))
(-.f64 (fma.f64 x y x) y)
(* x (+ 1 (+ y (* -1 (/ y x)))))
(-.f64 (fma.f64 x y x) y)
(* x (+ 1 (+ y (* -1 (/ y x)))))
(-.f64 (fma.f64 x y x) y)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(-.f64 (fma.f64 x y x) y)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(-.f64 (fma.f64 x y x) y)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(-.f64 (fma.f64 x y x) y)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(neg.f64 (fma.f64 y y y))
(* y (- (* -1 y) 1))
(neg.f64 (fma.f64 y y y))
(* y (- (* -1 y) 1))
(neg.f64 (fma.f64 y y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y y y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y y y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y y y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y y y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(neg.f64 (fma.f64 y y y))
-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 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)
(* -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)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (- y x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.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)
(/.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)
(/.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)
(/.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)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval117.0ms (1.4%)

Memory
0.8MiB live, 190.2MiB allocated
Compiler

Compiled 10 045 to 1 202 computations (88% saved)

prune76.0ms (0.9%)

Memory
-51.4MiB live, 180.9MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New6132615
Fresh123
Picked145
Done044
Total61512627
Accuracy
100.0%
Counts
627 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.5%
(fma.f64 y #s(literal -1 binary64) x)
▶38.2%
(fma.f64 x y x)
✓50.3%
(/.f64 (-.f64 x y) (neg.f64 y))
✓16.7%
(/.f64 (neg.f64 x) y)
✓49.1%
(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓52.4%
(/.f64 x (-.f64 #s(literal 1 binary64) y))
✓50.3%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
▶15.6%
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
✓15.1%
(*.f64 y (-.f64 #s(literal -1 binary64) y))
▶2.5%
(*.f64 y (neg.f64 y))
✓15.4%
(neg.f64 y)
✓36.1%
#s(literal 1 binary64)
Compiler

Compiled 77 to 52 computations (32.5% saved)

simplify47.0ms (0.6%)

Memory
9.7MiB live, 87.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(fma.f64 y #s(literal -1 binary64) x)
✓cost-diff0
(fma.f64 x y x)
✓cost-diff0
(fma.f64 y y y)
✓cost-diff0
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
✓cost-diff0
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
✓cost-diff0
(neg.f64 y)
✓cost-diff0
(*.f64 y (neg.f64 y))
Rules
912×lower-fma.f32
906×lower-fma.f64
360×lower-*.f32
356×lower-*.f64
216×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01040
02040
13939
26939
315839
438639
572039
693739
7107439
8108039
0108039
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
y
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
#s(literal -1 binary64)
(fma.f64 y y y)
(fma.f64 x y x)
x
y
(fma.f64 y #s(literal -1 binary64) x)
y
#s(literal -1 binary64)
x
Outputs
(*.f64 y (neg.f64 y))
y
(neg.f64 y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
y
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
#s(literal -1 binary64)
(fma.f64 y y y)
(fma.f64 x y x)
(fma.f64 y x x)
x
y
(fma.f64 y #s(literal -1 binary64) x)
(-.f64 x y)
y
#s(literal -1 binary64)
x

localize40.0ms (0.5%)

Memory
3.4MiB live, 83.5MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y #s(literal -1 binary64) x)
✓accuracy100.0%
(fma.f64 x y x)
✓accuracy100.0%
(fma.f64 y y y)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
✓accuracy99.9%
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
✓accuracy100.0%
(*.f64 y (neg.f64 y))
✓accuracy100.0%
(neg.f64 y)
Samples
23.0ms256×0valid
Compiler

Compiled 47 to 15 computations (68.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (56.2% of total)
ival-add: 4.0ms (28.1% of total)
ival-sub: 1.0ms (7% of total)
ival-neg: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (*.f64 y (neg.f64 y))>
#<alt (neg.f64 y)>
#<alt (*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))>
#<alt (-.f64 #s(literal -1 binary64) (fma.f64 y y y))>
#<alt (fma.f64 y y y)>
#<alt (fma.f64 x y x)>
#<alt (fma.f64 y #s(literal -1 binary64) x)>
Outputs
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* y (- (* -1 y) 1))>
#<alt (* y (- (* y (- (* -1 y) 1)) 1))>
#<alt (* y (- (* y (- (* -1 y) 1)) 1))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1 (/ 1 y))))>
#<alt (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))>
#<alt (* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))>
#<alt (* -1 (pow y 3))>
#<alt (* -1 (* (pow y 3) (+ 1 (/ 1 y))))>
#<alt (* -1 (* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))>
#<alt -1>
#<alt (- (* -1 y) 1)>
#<alt (- (* y (- (* -1 y) 1)) 1)>
#<alt (- (* y (- (* -1 y) 1)) 1)>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (* (pow y 2) (+ 1 (/ 1 y))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))>
#<alt (* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 y))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 y)>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
Calls

27 calls:

TimeVariablePointExpression
3.0ms
y
@0
(* y (neg y))
0.0ms
x
@inf
(+ (* x y) x)
0.0ms
y
@inf
(* y (neg y))
0.0ms
x
@-inf
(+ (* x y) x)
0.0ms
y
@-inf
(* y (- -1 (+ (* y y) y)))

rewrite596.0ms (7.3%)

Memory
3.9MiB live, 431.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 912×lower-fma.f32
7 906×lower-fma.f64
3 356×lower-*.f32
3 352×lower-*.f64
2 746×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
02032
18831
266129
01007328
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 505
Calls
Call 1
Inputs
(*.f64 y (neg.f64 y))
(neg.f64 y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(fma.f64 y y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 y y))
(exp.f64 (log.f64 (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(fma.f64 y #s(literal 0 binary64) (*.f64 y y))
(neg.f64 (*.f64 y y))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 y (*.f64 y y)) y)
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y y))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1 binary64))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
y
(+.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(neg.f64 y)
(/.f64 (*.f64 y y) y)
(/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 y (*.f64 y y))))
(pow.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(+.f64 y (*.f64 y (fma.f64 y y y)))
(+.f64 (*.f64 y (fma.f64 y y y)) y)
(+.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y y) y))
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) y) (*.f64 y y))
(+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 y (fma.f64 y y y))))
(fma.f64 y #s(literal -1 binary64) (*.f64 y (fma.f64 y y y)))
(fma.f64 y #s(literal 1 binary64) (*.f64 y (fma.f64 y y y)))
(fma.f64 y (fma.f64 y y y) y)
(fma.f64 y (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y y))
(fma.f64 #s(literal -1 binary64) y (*.f64 y (fma.f64 y y y)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y y)) y)
(fma.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)) y)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (*.f64 y (fma.f64 y y y)))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 y (fma.f64 y y y)))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 y (*.f64 y (fma.f64 y y y))))) y) y)
(fma.f64 (*.f64 y (fma.f64 y y y)) #s(literal -1 binary64) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y (fma.f64 y y y)))
(fma.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y y)) y) y)
(fma.f64 (fma.f64 y y y) y y)
(fma.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y y) y)
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) y (*.f64 y y))
(fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (fma.f64 y y y)))))) y)
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y (fma.f64 y (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y y y))) y)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y (fma.f64 y y y)))
(fma.f64 (+.f64 y (pow.f64 y #s(literal 3/2 binary64))) (-.f64 y (pow.f64 y #s(literal 3/2 binary64))) y)
(fma.f64 (*.f64 y (*.f64 y (fma.f64 y (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y y)) y)
(fma.f64 (*.f64 y (*.f64 (*.f64 y y) (fma.f64 y (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (*.f64 y (*.f64 y (fma.f64 y y y))))) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y y y) (+.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal 1 binary64)) (+.f64 y (*.f64 y (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) (fma.f64 y y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y y)) (+.f64 y (*.f64 y (*.f64 y (fma.f64 y (*.f64 y y) y))))))
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(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x))) (fma.f64 y x x))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 x (fma.f64 y x x)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 y x x) (fma.f64 y x x)))))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 x (fma.f64 y x x)) (-.f64 (*.f64 x (fma.f64 y x x)) (*.f64 y (*.f64 y (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))) (neg.f64 (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))))) (neg.f64 (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x)))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (*.f64 y x)) x)) (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 y (*.f64 y x) (fma.f64 y x x))))
(+.f64 y x)
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 x y)
(+.f64 #s(literal 0 binary64) (+.f64 y x))
(+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(-.f64 x y)
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (-.f64 x #s(literal 0 binary64)) y)
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 y #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 y #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 #s(literal -1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) x)
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) x)
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 y x) (*.f64 y y)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(neg.f64 (-.f64 y x))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 y x) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))
(/.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)))) (-.f64 y x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 y x) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (neg.f64 (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y x) (+.f64 y x) (*.f64 #s(literal 0 binary64) (-.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 x x))) (-.f64 y x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (+.f64 y x) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y)))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y)))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 y x))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal -1 binary64) (+.f64 y x))) (fma.f64 y y (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 y x))
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 y x))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))))
(*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (+.f64 y x)))
(*.f64 (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y x) (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x)))
(*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (+.f64 y x)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (+.f64 y x)) (fma.f64 x (+.f64 y x) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 y x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (fma.f64 x (+.f64 y x) (*.f64 y y)) (-.f64 y x))) (fma.f64 x (+.f64 y x) (*.f64 y y)))

simplify225.0ms (2.8%)

Memory
8.6MiB live, 255.8MiB allocated
Algorithm
1×egg-herbie
Rules
5 374×lower-fma.f64
5 374×lower-fma.f32
3 048×lower-*.f64
3 048×lower-*.f32
1 390×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059486
1180468
2544446
31610446
44435446
57541446
08010404
Stop Event
1×iter limit
1×node limit
Counts
108 → 103
Calls
Call 1
Inputs
(* -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 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* -1 (pow y 3))
(* -1 (* (pow y 3) (+ 1 (/ 1 y))))
(* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(* -1 (pow y 3))
(* -1 (* (pow y 3) (+ 1 (/ 1 y))))
(* -1 (* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(* -1 (* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* -1 y) 1)) 1)
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(* y (- (* y (- (* -1 y) 1)) 1))
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(* y (- (* y (- (* -1 y) 1)) 1))
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(* -1 (pow y 3))
(*.f64 y (*.f64 y (neg.f64 y)))
(* -1 (* (pow y 3) (+ 1 (/ 1 y))))
(*.f64 y (*.f64 y (-.f64 #s(literal -1 binary64) y)))
(* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(* (pow y 3) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(* -1 (pow y 3))
(*.f64 y (*.f64 y (neg.f64 y)))
(* -1 (* (pow y 3) (+ 1 (/ 1 y))))
(*.f64 y (*.f64 y (-.f64 #s(literal -1 binary64) y)))
(* -1 (* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
(* -1 (* (pow y 3) (+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))))
(neg.f64 (fma.f64 y (fma.f64 y y y) y))
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* y (- (* -1 y) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(- (* y (- (* -1 y) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
(* (pow y 2) (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1))
(-.f64 #s(literal -1 binary64) (fma.f64 y y y))
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

eval106.0ms (1.3%)

Memory
-14.5MiB live, 135.4MiB allocated
Compiler

Compiled 12 693 to 1 372 computations (89.2% saved)

prune73.0ms (0.9%)

Memory
17.4MiB live, 177.3MiB allocated
Pruning

15 alts after pruning (4 fresh and 11 done)

PrunedKeptTotal
New6044608
Fresh000
Picked134
Done088
Total60515620
Accuracy
100.0%
Counts
620 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.2%
(fma.f64 x y x)
✓50.3%
(/.f64 (-.f64 x y) (neg.f64 y))
✓16.7%
(/.f64 (neg.f64 x) y)
✓49.1%
(/.f64 y (+.f64 #s(literal -1 binary64) y))
✓52.4%
(/.f64 x (-.f64 #s(literal 1 binary64) y))
38.7%
(-.f64 x (*.f64 y x))
51.5%
(-.f64 x y)
✓50.3%
(-.f64 #s(literal 1 binary64) (/.f64 x y))
✓15.6%
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
✓15.1%
(*.f64 y (-.f64 #s(literal -1 binary64) y))
3.1%
(*.f64 y (*.f64 y (neg.f64 y)))
✓2.5%
(*.f64 y (neg.f64 y))
3.8%
(*.f64 y y)
✓15.4%
(neg.f64 y)
✓36.1%
#s(literal 1 binary64)
Compiler

Compiled 219 to 105 computations (52.1% saved)

regimes23.0ms (0.3%)

Memory
10.2MiB live, 49.1MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 x y)
(*.f64 y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 x (*.f64 y x))
(-.f64 (fma.f64 y x x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(/.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 y (+.f64 #s(literal -1 binary64) y))
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) x)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

8.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
7.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes21.0ms (0.3%)

Memory
0.0MiB live, 37.9MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 x y)
(*.f64 y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 x (*.f64 y x))
(-.f64 (fma.f64 y x x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(/.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 y (+.f64 #s(literal -1 binary64) y))
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)
(/.f64 (-.f64 x y) (neg.f64 y))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y))
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

3 calls:

7.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
77.3%3x
99.0%3y
99.0%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes25.0ms (0.3%)

Memory
-42.0MiB live, 11.5MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 x y)
(*.f64 y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 x (*.f64 y x))
(-.f64 (fma.f64 y x x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(/.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 y (+.f64 #s(literal -1 binary64) y))
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)
(/.f64 (-.f64 x y) (neg.f64 y))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

24.0ms
y
Results
AccuracySegmentsBranch
98.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 x y)
(*.f64 y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 x (*.f64 y x))
(-.f64 (fma.f64 y x x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(/.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/.f64 y (+.f64 #s(literal -1 binary64) y))
Outputs
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(-.f64 (fma.f64 y x x) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
98.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
15 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 x y)
(*.f64 y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 x (*.f64 y x))
(-.f64 (fma.f64 y x x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(/.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 x) y)
(*.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
Outputs
#s(literal 1 binary64)
(/.f64 (neg.f64 x) y)
(-.f64 (fma.f64 y x x) y)
#s(literal 1 binary64)
Calls

2 calls:

5.0ms
y
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
84.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
86.4%4y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes35.0ms (0.4%)

Memory
-22.7MiB live, 16.3MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 x y)
(*.f64 y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(-.f64 x (*.f64 y x))
(-.f64 (fma.f64 y x x) y)
(fma.f64 y (+.f64 x #s(literal -1 binary64)) x)
(/.f64 x #s(literal 1 binary64))
(*.f64 y (*.f64 y (neg.f64 y)))
Outputs
(-.f64 x y)
#s(literal 1 binary64)
(-.f64 x (*.f64 y x))
Calls

2 calls:

30.0ms
y
4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
84.1%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
84.0%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
(-.f64 x y)
(*.f64 y y)
(fma.f64 x y x)
(fma.f64 y #s(literal -1 binary64) x)
(*.f64 y (neg.f64 y))
(*.f64 y (-.f64 #s(literal -1 binary64) y))
Outputs
(-.f64 x y)
#s(literal 1 binary64)
(-.f64 x y)
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
84.0%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(neg.f64 y)
Outputs
(neg.f64 y)
#s(literal 1 binary64)
Calls

3 calls:

2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
36.1%1x
48.0%3y
48.5%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
-29.7MiB live, 7.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
36.1%1y
36.1%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch26.0ms (0.3%)

Memory
13.0MiB live, 50.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
7.864162868443693e-15
1317.7362522576984
10.0ms
-947.4023135684869
-9.132449559860099e-7
Samples
13.0ms304×0valid
Compiler

Compiled 410 to 267 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 4.0ms (53.8% of total)
ival-sub: 3.0ms (40.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.864162868443693e-15
1317.7362522576984
3.0ms
-947.4023135684869
-9.132449559860099e-7
Samples
1.0ms32×0valid
Compiler

Compiled 392 to 258 computations (34.2% saved)

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

bsearch3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.864162868443693e-15
1317.7362522576984
2.0ms
-947.4023135684869
-9.132449559860099e-7
Samples
1.0ms16×0valid
Compiler

Compiled 335 to 220 computations (34.3% saved)

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

bsearch23.0ms (0.3%)

Memory
-6.7MiB live, 31.9MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.864162868443693e-15
1317.7362522576984
15.0ms
-13864716421.56399
-122357.22762815138
6.0ms
-8.153073941419233e+76
-2.151416693911438e+76
Samples
12.0ms224×0valid
Compiler

Compiled 341 to 236 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (52.5% of total)
ival-div: 1.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.1536870440978404
1343457.6775660634
0.0ms
0.0006063572026317989
0.9989455951491331
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.1536870440978404
1343457.6775660634
0.0ms
0.0006063572026317989
0.9989455951491331
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.13244121970422e-7
9.411742957140944e-6
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify10.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
20×sub-neg_binary64
10×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051181
172181
291181
397181
499181
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -7385903388887613/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -124000 binary64)) (/.f64 (neg.f64 x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4722366482869645/4722366482869645213696 binary64)) (neg.f64 y) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -7656119366529843/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -7385903388887613/9007199254740992 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -124000 binary64)) (/.f64 (neg.f64 x) y) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -22000000000000000392547741206324220744646286160841546672531963463659014848512 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal -124000 binary64)) (/.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 (fma.f64 y x x) y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 x (*.f64 x y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1152921504606847/1152921504606846976 binary64)) (-.f64 x y) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64) (-.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4722366482869645/4722366482869645213696 binary64)) (neg.f64 y) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.7s (21.1%)

Memory
-17.3MiB live, 938.6MiB allocated
Rules
20 698×lower-fma.f64
20 698×lower-fma.f32
13 832×lower-fma.f64
13 832×lower-fma.f32
8 742×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981539
16081472
220531308
084051229
01032
02032
18831
266129
01007328
096384
1281358
2788338
32735311
47419311
08107302
057623
1168605
2477587
31574587
45389587
08226567
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 369 to 174 computations (52.8% saved)

preprocess60.0ms (0.7%)

Memory
11.5MiB live, 126.3MiB allocated
Compiler

Compiled 384 to 112 computations (70.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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