Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

Time bar (total: 6.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample992.0ms (14.9%)

Memory
28.8MiB live, 815.0MiB allocated
Samples
669.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-mult: 254.0ms (79.1% of total)
ival-add: 53.0ms (16.5% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain82.0ms (1.2%)

Memory
-10.5MiB live, 98.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-0-(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 y y)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 y y))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))n*o200
Confusion
Predicted +Predicted -
+200
-0236
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2000
-00236
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0236
120
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
23.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (67.9% of total)
ival-add: 2.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (0.4%)

Memory
28.1MiB live, 28.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
16537
219235
347635
465735
576935
680135
067
097
1197
2277
3497
4497
0496
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11918
22718
34918
44918
04916
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y

localize32.0ms (0.5%)

Memory
-30.5MiB live, 16.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy0.0
(*.f64 y y)
accuracy4.790708907804821
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
Samples
27.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (77.9% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
3 → 9
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
Outputs
(* x (+ 1 (pow y 2)))
1
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
Calls

6 calls:

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

simplify211.0ms (3.2%)

Memory
-15.5MiB live, 189.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
14241
27441
321241
470241
5192541
6260441
7369241
8503541
9593341
10689241
11723541
12735041
13742741
14749641
15764341
0818436
Stop Event
iter limit
node limit
Counts
9 → 8
Calls
Call 1
Inputs
(* x (+ 1 (pow y 2)))
1
(+ 1 (pow y 2))
x
(+ x (* x (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
Outputs
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)

rewrite275.0ms (4.1%)

Memory
27.9MiB live, 181.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13415
220915
3140915
0823813
Stop Event
iter limit
node limit
iter limit
Counts
3 → 364
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
Outputs
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 x (*.f64 y y)) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 y y)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 y y)) (-.f64 (*.f64 x (*.f64 y y)) x) (*.f64 x x)))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (-.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal 1 binary64) x)
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 y y)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 y y)) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 y y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 y y)) x)))
(-.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (*.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(+.f64 (*.f64 x (*.f64 y y)) x)
(+.f64 x (*.f64 x (*.f64 y y)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval422.0ms (6.3%)

Memory
-18.5MiB live, 57.1MiB allocated
Compiler

Compiled 9 299 to 1 115 computations (88% saved)

prune7.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3636369
Fresh000
Picked101
Done000
Total3646370
Accuracy
99.9%
Counts
370 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(fma.f64 (*.f64 y y) x x)
99.9%
(fma.f64 (*.f64 x y) y x)
64.1%
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
92.4%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
46.4%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
49.9%
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
Compiler

Compiled 112 to 86 computations (23.2% saved)

simplify273.0ms (4.1%)

Memory
-0.3MiB live, 122.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal 4 binary64))
cost-diff0
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(*.f64 y y)
cost-diff0
(fma.f64 (*.f64 y y) x x)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
cost-diff0
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) y x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02199
03398
15998
28198
319398
439198
589998
6136798
7212798
8460098
9637998
10783798
0800696
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 y y) x x)
(*.f64 y y)
y
x
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
(*.f64 #s(approx (+ 1 (* y y)) #s(literal 1 binary64)) x)
x
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(fma.f64 (*.f64 y y) x x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(*.f64 y y)
y
x
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(literal 1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)

localize63.0ms (0.9%)

Memory
-13.5MiB live, 106.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 y #s(literal 4 binary64))
accuracy0.00390625
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy1.4224936355860247
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
accuracy18.62040509023017
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy0.0
(*.f64 y y)
accuracy4.775083907804821
(fma.f64 (*.f64 y y) x x)
accuracy0.0
(*.f64 y y)
accuracy8.739458586712374
(*.f64 (*.f64 y y) x)
accuracy27.30744392293563
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
accuracy4.790708907804821
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
accuracy34.513852284705905
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x y)
accuracy0.078125
(fma.f64 (*.f64 x y) y x)
Samples
49.0ms256×0valid
Compiler

Compiled 194 to 42 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.7% of total)
ival-pow: 6.0ms (25.8% of total)
ival-add: 4.0ms (17.2% of total)
ival-div: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-10.7MiB live, 27.4MiB allocated
Counts
12 → 21
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(fma.f64 (*.f64 y y) x x)
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
Outputs
(* x (+ 1 (pow y 2)))
(* x y)
(* x (pow y 2))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(pow y 2)
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
-1
(- (pow y 4) 1)
(pow y 4)
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms
y
@inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms
x
@0
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
3.0ms
x
@-inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))
2.0ms
x
@inf
((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (/ (* (- (pow y 4) 1) x) (+ (* y y) -1)) (* (- (pow y 4) 1) x) (- (pow y 4) 1) (pow y 4))

simplify153.0ms (2.3%)

Memory
22.0MiB live, 145.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037106
195106
2201106
3545106
42430106
56908106
0805299
Stop Event
iter limit
node limit
Counts
21 → 20
Calls
Call 1
Inputs
(* x (+ 1 (pow y 2)))
(* x y)
(* x (pow y 2))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
1
(+ 1 (pow y 2))
(pow y 2)
(* -1 x)
(+ (* -1 x) (* x (pow y 4)))
-1
(- (pow y 4) 1)
(pow y 4)
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
Outputs
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* x y)
(*.f64 y x)
(* x (pow y 2))
(*.f64 (*.f64 y x) y)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* x (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))

rewrite173.0ms (2.6%)

Memory
-16.1MiB live, 222.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02179
03372
113472
273172
0846570
Stop Event
iter limit
node limit
iter limit
Counts
12 → 1 208
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(fma.f64 (*.f64 y y) x x)
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (pow.f64 y #s(literal 24 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))))
(*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 2 binary64)))) (fma.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (*.f64 x (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x))) (fma.f64 (*.f64 y x) y x))
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
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(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 36 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 8 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 36 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (+.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 12 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 16 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 24 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 y #s(literal 16 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 24 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 12 binary64))))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 y (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 y (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))

eval127.0ms (1.9%)

Memory
3.5MiB live, 85.5MiB allocated
Compiler

Compiled 12 213 to 1 559 computations (87.2% saved)

prune13.0ms (0.2%)

Memory
-2.0MiB live, 37.1MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New5656571
Fresh011
Picked145
Done000
Total56611577
Accuracy
100.0%
Counts
577 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(fma.f64 (*.f64 y y) x x)
99.9%
(fma.f64 (*.f64 x y) y x)
64.1%
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
92.4%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
90.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
99.7%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
99.4%
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
90.8%
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
46.4%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
49.9%
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
57.2%
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
Compiler

Compiled 236 to 143 computations (39.4% saved)

simplify126.0ms (1.9%)

Memory
22.7MiB live, 100.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff704
(/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
cost-diff7360
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) y x)
cost-diff0
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
cost-diff1728
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) y x)
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024197
041164
184161
2177151
3842151
44957151
08270151
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
y
x
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
(*.f64 y y)
y
#s(literal -1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
#s(literal 1 binary64)
(/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))))
(-.f64 y #s(literal 1 binary64))
y
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
x
Outputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
(fma.f64 (*.f64 x y) y x)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) y x))
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 x y) y x)
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 x y) y)
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 x y) y x)
(*.f64 y x)
(*.f64 x y)
y
x
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 (*.f64 x y) y x)
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 y y)
y
#s(literal -1 binary64)
x
(fma.f64 y y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
(fma.f64 (*.f64 x y) y x)
#s(literal 1 binary64)
(/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) y x))
(-.f64 y #s(literal 1 binary64))
y
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) y x)
(fma.f64 (*.f64 x y) y x)
(*.f64 y x)
(*.f64 x y)
x

localize93.0ms (1.4%)

Memory
-18.1MiB live, 94.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
accuracy0.078125
(fma.f64 (*.f64 y x) y x)
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
accuracy6.058227973569759
(/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))))
accuracy0.0
(*.f64 y y)
accuracy0.0390625
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
accuracy1.4224936355860247
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
accuracy18.62040509023017
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy0.05859375
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
accuracy0.078125
(fma.f64 (*.f64 y x) y x)
accuracy5.909101801652504
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
accuracy0.0
(*.f64 y x)
accuracy0.1640625
(*.f64 (*.f64 y x) y)
accuracy27.30744392293563
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
accuracy0.0
(*.f64 y x)
accuracy0.078125
(fma.f64 (*.f64 y x) y x)
accuracy0.13671875
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
accuracy0.24091469000987809
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))
Samples
45.0ms256×0valid
Compiler

Compiled 405 to 50 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 12.0ms (39% of total)
ival-div: 11.0ms (35.8% of total)
ival-add: 5.0ms (16.3% of total)
ival-sub: 3.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
17 → 65
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
(*.f64 y y)
(fma.f64 y y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))))
(-.f64 y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
Outputs
(* x (+ 1 (pow y 2)))
(/ -1 (* x (+ 1 (pow y 2))))
(* x y)
(* x (pow y 2))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(/ 1 (* x (+ 1 (pow y 2))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ 1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (* (- y 1) (- (* -1 (pow y 2)) 1))))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(/ -1 x)
(- (/ (pow y 2) x) (/ 1 x))
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y))))))
(+ (* -1 x) (* x (pow y 4)))
(pow y 2)
-1
(- (pow y 2) 1)
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(- y 1)
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(- (pow y 4) 1)
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ -1 (* x (pow y 2)))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2))
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x y))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2))))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
y
(* y (- 1 (/ 1 y)))
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x y))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y)))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (* (* (+ (* (* y x) y) x) (- y 1)) (/ 1 (- y 1))) (* (+ (* (* y x) y) x) (- y 1)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* y y) -1) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (- y 1) (/ 1 (- y 1)) (+ (* (* y y) (* y y)) -1))
3.0ms
x
@0
((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (* (* (+ (* (* y x) y) x) (- y 1)) (/ 1 (- y 1))) (* (+ (* (* y x) y) x) (- y 1)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* y y) -1) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (- y 1) (/ 1 (- y 1)) (+ (* (* y y) (* y y)) -1))
2.0ms
x
@inf
((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (* (* (+ (* (* y x) y) x) (- y 1)) (/ 1 (- y 1))) (* (+ (* (* y x) y) x) (- y 1)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* y y) -1) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (- y 1) (/ 1 (- y 1)) (+ (* (* y y) (* y y)) -1))
2.0ms
y
@inf
((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (* (* (+ (* (* y x) y) x) (- y 1)) (/ 1 (- y 1))) (* (+ (* (* y x) y) x) (- y 1)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* y y) -1) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (- y 1) (/ 1 (- y 1)) (+ (* (* y y) (* y y)) -1))
2.0ms
y
@-inf
((/ -1 (/ -1 (+ (* (* y x) y) x))) (/ -1 (+ (* (* y x) y) x)) (+ (* (* y x) y) x) (* y x) (* x (+ 1 (* y y))) (* (* y x) y) (* (* (+ (* (* y x) y) x) (- y 1)) (/ 1 (- y 1))) (* (+ (* (* y x) y) x) (- y 1)) (/ (* (+ (* (* y y) (* y y)) -1) x) (+ (* y y) -1)) (* (+ (* (* y y) (* y y)) -1) x) (* y y) (+ (* y y) -1) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (- y 1) (/ 1 (- y 1)) (+ (* (* y y) (* y y)) -1))

simplify285.0ms (4.3%)

Memory
-13.6MiB live, 223.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150641
1431630
21372615
34302582
08307557
Stop Event
iter limit
node limit
Counts
65 → 63
Calls
Call 1
Inputs
(* x (+ 1 (pow y 2)))
(/ -1 (* x (+ 1 (pow y 2))))
(* x y)
(* x (pow y 2))
(* x (* (+ 1 (pow y 2)) (- y 1)))
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(* x (- (pow y 4) 1))
(/ 1 (* x (+ 1 (pow y 2))))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(/ 1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (* (- y 1) (- (* -1 (pow y 2)) 1))))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
x
(+ x (* x (pow y 2)))
(/ -1 x)
(- (/ (pow y 2) x) (/ 1 x))
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y))))))
(+ (* -1 x) (* x (pow y 4)))
(pow y 2)
-1
(- (pow y 2) 1)
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(- y 1)
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(- (pow y 4) 1)
(* (pow y 2) (+ x (/ x (pow y 2))))
(/ -1 (* x (pow y 2)))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2))
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x y))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2))))))
(* x (pow y 4))
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
y
(* y (- 1 (/ 1 y)))
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(pow y 4)
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x y))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y)))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y)))))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
Outputs
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ -1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(* x y)
(*.f64 x y)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (* (+ 1 (pow y 2)) (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(* x (- (pow y 4) 1))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ 1 (* x (- (* -1 (pow y 2)) 1)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(* -1 (* x (* (- y 1) (- (* -1 (pow y 2)) 1))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
x
(+ x (* x (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (/ (pow y 2) x) (/ 1 x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y y #s(literal -1 binary64)))
(- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 y x) (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x))
(- (* (pow y 2) (+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y y #s(literal -1 binary64))))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(+ (* -1 x) (* y (+ x (* -1 (* x y)))))
(*.f64 x (-.f64 y (fma.f64 y y #s(literal 1 binary64))))
(+ (* -1 x) (* y (+ x (* y (+ (* -1 x) (* x y))))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(+ (* -1 x) (* x (pow y 4)))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(pow y 2)
(*.f64 y y)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(fma.f64 (/.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 #s(literal 1 binary64) x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* y (- (* -1 y) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64))
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
(- (pow y 4) 1)
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* (pow y 2) (+ x (/ x (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ -1 (* x (pow y 2)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 y y))
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6)))) (+ (/ 1 x) (/ 1 (* x (pow y 4))))) (pow y 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (*.f64 y y))
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* (pow y 3) (+ x (* -1 (/ x y))))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 3 binary64))) x)
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) y)
(* (pow y 3) (+ x (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2))))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* x (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) x)
(* (pow y 4) (+ x (* -1 (/ x (pow y 4)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (*.f64 y y))
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 y)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal -1 binary64)) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) y)
(pow y 4)
(pow.f64 y #s(literal 4 binary64))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x y))))
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 3 binary64))) x)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y)))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) y)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y)))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) x)
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)) y)

rewrite227.0ms (3.4%)

Memory
-0.3MiB live, 275.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024149
041114
1176103
21262103
09025103
Stop Event
iter limit
node limit
iter limit
Counts
17 → 2 133
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
(/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x))
(fma.f64 (*.f64 y x) y x)
(*.f64 y x)
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x)
(*.f64 y y)
(fma.f64 y y #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))))
(-.f64 y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x y) y) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x y) y))))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x y) y) x)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x y) y))))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x y) y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64))) (/.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (fma.f64 (*.f64 x y) y x))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x y) y x) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 x y) y x) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 x y) y x)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 x y) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 x y) y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x y) y x)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x y) y x)) (-.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (/.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) y #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(fma.f64 y (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(expm1.f64 (*.f64 #s(literal 4 binary64) (log.f64 y)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y)))
(+.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(+.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y y)))
(+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))

eval396.0ms (5.9%)

Memory
8.6MiB live, 324.1MiB allocated
Compiler

Compiled 43 763 to 4 333 computations (90.1% saved)

prune31.0ms (0.5%)

Memory
23.7MiB live, 101.0MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New1 60181 609
Fresh112
Picked325
Done044
Total1 605151 620
Accuracy
100.0%
Counts
1 620 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(fma.f64 (*.f64 y y) x x)
99.9%
(fma.f64 (*.f64 x y) y x)
99.4%
(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.8%
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
64.1%
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
38.1%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
92.4%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
57.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
99.4%
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
68.6%
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
45.8%
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y)))
46.4%
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
49.9%
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
57.2%
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
Compiler

Compiled 452 to 250 computations (44.7% saved)

simplify168.0ms (2.5%)

Memory
13.8MiB live, 202.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 x y) y x)
cost-diff0
(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
cost-diff7488
(*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (-.f64 y #s(literal 1 binary64)))
cost-diff7168
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
cost-diff8960
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))))
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
cost-diff0
(*.f64 (*.f64 x y) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
cost-diff0
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
cost-diff0
(*.f64 x y)
cost-diff0
(fma.f64 (*.f64 x y) y x)
cost-diff0
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
cost-diff8256
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035395
059280
1113280
2281256
3727255
45780255
08451255
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
#s(literal 1 binary64)
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
#s(literal 1 binary64)
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
x
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x)))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
y
(-.f64 y #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
x
y
#s(literal -1/2 binary64)
Outputs
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 y x) y x)
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y x) y x)
(*.f64 x y)
(*.f64 y x)
x
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) y))))
#s(literal 1 binary64)
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)))
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y x) y)
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))))
#s(literal 1 binary64)
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
y
x
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
(fma.f64 (*.f64 y x) y x)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x)))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) y x)
(*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 y #s(literal 1 binary64)))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
y
(-.f64 y #s(literal 1 binary64))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y x) y x)
(*.f64 x y)
(*.f64 y x)
x
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) x) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
(fma.f64 (*.f64 y x) y x)
#s(literal 1 binary64)
(*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))
(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y x) y x)
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal -1/2 binary64)

localize236.0ms (3.5%)

Memory
-12.2MiB live, 151.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(fma.f64 (*.f64 x y) y x)
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
accuracy0.371757519536884
(*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)))
accuracy13.817860602108295
(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
accuracy7.792968750000001
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))))
accuracy8.515090068529775
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
accuracy39.3252997001716
(/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x)))
accuracy0.0
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
accuracy0.5985121561140234
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
accuracy4.382789639348174
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
accuracy0.13671875
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
accuracy0.1640625
(*.f64 (*.f64 x y) y)
accuracy0.3073209400098781
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
accuracy27.311194054089512
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)))
accuracy0.00390625
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy0.078125
(fma.f64 (*.f64 x y) y x)
accuracy0.09603500976844202
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy8.515090068529775
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
Samples
205.0ms256×0valid
Compiler

Compiled 785 to 70 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-div: 101.0ms (60% of total)
ival-mult: 51.0ms (30.3% of total)
ival-pow: 10.0ms (5.9% of total)
ival-add: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (1.1%)

Memory
-12.7MiB live, 38.2MiB allocated
Counts
22 → 106
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x)))
Outputs
(* x (+ 1 (pow y 2)))
(/ (* x (+ 1 (pow y 2))) (- y 1))
(* x y)
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (pow y 2)))
(* x (pow y 2))
(* x (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))))
(/ (* x (pow (+ 1 (pow y 2)) 2)) (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))))
(sqrt (/ 1 (* x (+ 1 (pow y 2)))))
(/ (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))) (* x (pow (+ 1 (pow y 2)) 2)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (/ (* x (- (* -1 (pow y 2)) 1)) (- y 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1))))))
(* -1 (/ (* x (pow (- (* -1 (pow y 2)) 1) 2)) (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1))))))
(* (sqrt (/ 1 (* x (- (* -1 (pow y 2)) 1)))) (sqrt -1))
(* -1 (/ (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1)))) (* x (pow (- (* -1 (pow y 2)) 1) 2))))
x
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (- (* y (- (* -1 x) x)) x)))
(+ (* -1 x) (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 x) x))) x)) x)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(+ 1 (pow y 2))
(- (* y (+ x (* -1 x))) (* -1 x))
(- (* y (+ x (+ (* -1 x) (* x y)))) (* -1 x))
(- (* y (+ x (+ (* -1 x) (* y (- (* y (- (+ (* -1 x) (* 2 x)) x)) (* -1 x)))))) (* -1 x))
(+ x (* -1 (* y (+ x (* -1 x)))))
(+ x (* y (- (* y (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (+ x (* -1 x)))))
(+ x (* y (- (* y (- (+ (* 2 x) (* y (- x (+ (* -1 x) (+ (* -1 (+ x (* -1 x))) (+ (* 2 x) (/ (* (+ x (* -1 x)) (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) x))))))) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (+ x (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
-1
(- y 1)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 x)) (pow y 2))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (* (sqrt (/ 1 x)) (pow y 2))))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 x))) (* (pow y 2) (+ (* -5/16 (* (sqrt (/ 1 x)) (pow y 2))) (* 3/8 (sqrt (/ 1 x))))))))
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(+ (* (pow y 2) (- (* (pow y 2) (- (* 3 (/ 1 x)) (* -1 (/ (- (* -1 x) x) (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (- (+ (* 3 (/ 1 x)) (* y (- (* 2 (/ 1 x)) (* -1 (/ (- (* -1 x) x) (pow x 2)))))) (* -1 (/ (- (* -1 x) x) (pow x 2))))) (/ 1 x))) (/ 1 x))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* y (+ x (/ x y)))
(* y (- (+ x (/ x (pow y 2))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))))
(* y (- (+ x (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3)))))))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (- (+ x (/ x (pow y 2))) (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2)))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (/ x y) (/ x (pow y 3)))))))
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (- (+ x (* 2 (/ x (pow y 2)))) (+ (* -1 (/ (+ x (* -1 x)) y)) (+ (* -1 (/ (pow (+ x (* -1 x)) 2) (* x (pow y 2)))) (/ x (pow y 2))))))
(* (pow y 2) (- (+ x (+ (* 2 (/ x (pow y 2))) (/ (* (+ x (* -1 x)) (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (* x (pow y 3))))) (+ (* -1 (/ (+ x (* -1 x)) y)) (+ (* -1 (/ (pow (+ x (* -1 x)) 2) (* x (pow y 2)))) (/ x (pow y 2))))))
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
y
(* y (- 1 (/ 1 y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4)))))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (+ (* -5/16 (* (sqrt (/ 1 x)) (/ 1 (pow y 6)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4))))))) y)
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(/ (+ (* -1 (/ (+ x (* -1 x)) (* (pow x 2) y))) (/ 1 x)) (pow y 2))
(/ (- (+ (* -1 (/ (+ x (* -1 x)) (* (pow x 2) y))) (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1 (/ (+ x (* -1 x)) (* (pow x 2) y))) (+ (* 2 (/ (+ x (* -1 x)) (* (pow x 2) (pow y 3)))) (/ 1 x))) (/ 1 (* x (pow y 2)))) (pow y 2))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y)))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ x y)) (+ x (* -1 x))) y))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- x (* -1 x)) y)) (* 2 (/ x y))) (* -1 x)) y)) (+ x (* -1 x))) y))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x)))) y)) (* -1 (+ x (* -1 x)))) y))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (+ x (* -1 x)) (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (* x y))) (+ (* -1 (/ (+ (* -1 (- x (* -1 x))) (* 2 x)) y)) (+ (* 2 x) (/ x y))))) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x)))) y)) (* -1 (+ x (* -1 x)))) y))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) y))
(* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4)))))) y))
(* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (+ (* -5/16 (* (sqrt (/ 1 x)) (/ 1 (pow y 6)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4))))))) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
(/ (+ (/ -1 (* x y)) (+ (/ 1 x) (/ 1 (* x y)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ x (* -1 x)) (pow x 2))) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ x (* -1 x)) (pow x 2))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* 2 x)) (pow x 2))) (* -2 (/ (+ x (* -1 x)) (pow x 2)))) y)) (/ 1 x)) y))) y)) (/ 1 x)) (pow y 2))
Calls

6 calls:

TimeVariablePointExpression
42.0ms
x
@inf
((/ (/ (+ (* (* x y) y) x) (- y 1)) (pow (- y 1) -1)) (/ (+ (* (* x y) y) x) (- y 1)) (+ (* (* x y) y) x) (* x y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (* (* x y) y)) (* (* x y) y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (+ (* y y) 1)) (+ (* y y) 1) (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) (/ y (- y 1)) (- y 1) (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2)) (/ 1 (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2))) (pow (+ (* (* x y) y) x) -1/2) (pow (- y 1) -1) (/ (/ 1 (+ (* y y) 1)) x) (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x))))
9.0ms
x
@0
((/ (/ (+ (* (* x y) y) x) (- y 1)) (pow (- y 1) -1)) (/ (+ (* (* x y) y) x) (- y 1)) (+ (* (* x y) y) x) (* x y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (* (* x y) y)) (* (* x y) y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (+ (* y y) 1)) (+ (* y y) 1) (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) (/ y (- y 1)) (- y 1) (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2)) (/ 1 (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2))) (pow (+ (* (* x y) y) x) -1/2) (pow (- y 1) -1) (/ (/ 1 (+ (* y y) 1)) x) (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x))))
7.0ms
x
@-inf
((/ (/ (+ (* (* x y) y) x) (- y 1)) (pow (- y 1) -1)) (/ (+ (* (* x y) y) x) (- y 1)) (+ (* (* x y) y) x) (* x y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (* (* x y) y)) (* (* x y) y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (+ (* y y) 1)) (+ (* y y) 1) (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) (/ y (- y 1)) (- y 1) (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2)) (/ 1 (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2))) (pow (+ (* (* x y) y) x) -1/2) (pow (- y 1) -1) (/ (/ 1 (+ (* y y) 1)) x) (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x))))
4.0ms
y
@inf
((/ (/ (+ (* (* x y) y) x) (- y 1)) (pow (- y 1) -1)) (/ (+ (* (* x y) y) x) (- y 1)) (+ (* (* x y) y) x) (* x y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (* (* x y) y)) (* (* x y) y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (+ (* y y) 1)) (+ (* y y) 1) (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) (/ y (- y 1)) (- y 1) (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2)) (/ 1 (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2))) (pow (+ (* (* x y) y) x) -1/2) (pow (- y 1) -1) (/ (/ 1 (+ (* y y) 1)) x) (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x))))
4.0ms
y
@0
((/ (/ (+ (* (* x y) y) x) (- y 1)) (pow (- y 1) -1)) (/ (+ (* (* x y) y) x) (- y 1)) (+ (* (* x y) y) x) (* x y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (* (* x y) y)) (* (* x y) y) (/ 1 (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1)))) (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/ 1 (+ (* y y) 1)) (+ (* y y) 1) (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) (/ y (- y 1)) (- y 1) (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2)) (/ 1 (* (pow (+ (* (* x y) y) x) -1/2) (pow (+ (* (* x y) y) x) -1/2))) (pow (+ (* (* x y) y) x) -1/2) (pow (- y 1) -1) (/ (/ 1 (+ (* y y) 1)) x) (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x))))

simplify163.0ms (2.4%)

Memory
24.6MiB live, 179.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03991579
112521474
244031351
085491293
Stop Event
iter limit
node limit
Counts
106 → 104
Calls
Call 1
Inputs
(* x (+ 1 (pow y 2)))
(/ (* x (+ 1 (pow y 2))) (- y 1))
(* x y)
(/ 1 (* x (+ 1 (pow y 2))))
(/ 1 (* x (pow y 2)))
(* x (pow y 2))
(* x (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))))
(/ (* x (pow (+ 1 (pow y 2)) 2)) (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))))
(sqrt (/ 1 (* x (+ 1 (pow y 2)))))
(/ (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))) (* x (pow (+ 1 (pow y 2)) 2)))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (/ (* x (- (* -1 (pow y 2)) 1)) (- y 1)))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(* -1 (* x (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1))))))
(* -1 (/ (* x (pow (- (* -1 (pow y 2)) 1) 2)) (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1))))))
(* (sqrt (/ 1 (* x (- (* -1 (pow y 2)) 1)))) (sqrt -1))
(* -1 (/ (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1)))) (* x (pow (- (* -1 (pow y 2)) 1) 2))))
x
(+ x (* x (pow y 2)))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (- (* y (- (* -1 x) x)) x)))
(+ (* -1 x) (* y (- (* y (- (+ (* -1 x) (* y (- (* -1 x) x))) x)) x)))
(/ 1 x)
(+ (* -1 (/ (pow y 2) x)) (/ 1 x))
(+ (* (pow y 2) (- (/ (pow y 2) x) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1 (/ (pow y 2) x)) (/ 1 x))) (/ 1 x))) (/ 1 x))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(+ 1 (pow y 2))
(- (* y (+ x (* -1 x))) (* -1 x))
(- (* y (+ x (+ (* -1 x) (* x y)))) (* -1 x))
(- (* y (+ x (+ (* -1 x) (* y (- (* y (- (+ (* -1 x) (* 2 x)) x)) (* -1 x)))))) (* -1 x))
(+ x (* -1 (* y (+ x (* -1 x)))))
(+ x (* y (- (* y (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (+ x (* -1 x)))))
(+ x (* y (- (* y (- (+ (* 2 x) (* y (- x (+ (* -1 x) (+ (* -1 (+ x (* -1 x))) (+ (* 2 x) (/ (* (+ x (* -1 x)) (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) x))))))) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (+ x (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
-1
(- y 1)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 x)) (pow y 2))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (* (sqrt (/ 1 x)) (pow y 2))))))
(+ (sqrt (/ 1 x)) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 x))) (* (pow y 2) (+ (* -5/16 (* (sqrt (/ 1 x)) (pow y 2))) (* 3/8 (sqrt (/ 1 x))))))))
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(+ (* (pow y 2) (- (* (pow y 2) (- (* 3 (/ 1 x)) (* -1 (/ (- (* -1 x) x) (pow x 2))))) (/ 1 x))) (/ 1 x))
(+ (* (pow y 2) (- (* (pow y 2) (- (+ (* 3 (/ 1 x)) (* y (- (* 2 (/ 1 x)) (* -1 (/ (- (* -1 x) x) (pow x 2)))))) (* -1 (/ (- (* -1 x) x) (pow x 2))))) (/ 1 x))) (/ 1 x))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* y (+ x (/ x y)))
(* y (- (+ x (/ x (pow y 2))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))))
(* y (- (+ x (+ (/ x (pow y 2)) (/ x (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3)))))))
(/ (- (/ 1 x) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 4)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 6))))) (pow y 2))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ x (* -1 (/ (+ x (* -1 x)) y))))
(* (pow y 2) (- (+ x (/ x (pow y 2))) (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 2)))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (/ x y) (/ x (pow y 3)))))))
(* (pow y 2) (+ x (+ (* -1 (/ x y)) (/ x y))))
(* (pow y 2) (- (+ x (* 2 (/ x (pow y 2)))) (+ (* -1 (/ (+ x (* -1 x)) y)) (+ (* -1 (/ (pow (+ x (* -1 x)) 2) (* x (pow y 2)))) (/ x (pow y 2))))))
(* (pow y 2) (- (+ x (+ (* 2 (/ x (pow y 2))) (/ (* (+ x (* -1 x)) (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (* x (pow y 3))))) (+ (* -1 (/ (+ x (* -1 x)) y)) (+ (* -1 (/ (pow (+ x (* -1 x)) 2) (* x (pow y 2)))) (/ x (pow y 2))))))
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
y
(* y (- 1 (/ 1 y)))
(* (sqrt (/ 1 x)) (/ 1 y))
(/ (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4)))))) y)
(/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (+ (* -5/16 (* (sqrt (/ 1 x)) (/ 1 (pow y 6)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4))))))) y)
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(/ (+ (* -1 (/ (+ x (* -1 x)) (* (pow x 2) y))) (/ 1 x)) (pow y 2))
(/ (- (+ (* -1 (/ (+ x (* -1 x)) (* (pow x 2) y))) (/ 1 x)) (/ 1 (* x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1 (/ (+ x (* -1 x)) (* (pow x 2) y))) (+ (* 2 (/ (+ x (* -1 x)) (* (pow x 2) (pow y 3)))) (/ 1 x))) (/ 1 (* x (pow y 2)))) (pow y 2))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y)))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ x y)) (+ x (* -1 x))) y))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- x (* -1 x)) y)) (* 2 (/ x y))) (* -1 x)) y)) (+ x (* -1 x))) y))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x)))) y)) (* -1 (+ x (* -1 x)))) y))))
(* (pow y 2) (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x y)) (+ (* -1 (/ (* (+ x (* -1 x)) (- (* 2 x) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x))))) (* x y))) (+ (* -1 (/ (+ (* -1 (- x (* -1 x))) (* 2 x)) y)) (+ (* 2 x) (/ x y))))) (+ x (* -1 (/ (pow (+ x (* -1 x)) 2) x)))) y)) (* -1 (+ x (* -1 x)))) y))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* (sqrt (/ 1 x)) (/ 1 y)))
(* -1 (/ (+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))) y))
(* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4)))))) y))
(* -1 (/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (+ (* -5/16 (* (sqrt (/ 1 x)) (/ 1 (pow y 6)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4))))))) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
(/ (+ (/ -1 (* x y)) (+ (/ 1 x) (/ 1 (* x y)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ x (* -1 x)) (pow x 2))) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ x (* -1 x)) (pow x 2))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (- x (* -1 x))) (* 2 x)) (pow x 2))) (* -2 (/ (+ x (* -1 x)) (pow x 2)))) y)) (/ 1 x)) y))) y)) (/ 1 x)) (pow y 2))
Outputs
(* x (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(/ (* x (+ 1 (pow y 2))) (- y 1))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 y x)
(/ 1 (* x (+ 1 (pow y 2))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) y))
(* x (pow y 2))
(*.f64 (*.f64 y x) y)
(* x (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))) x)
(/ (* x (pow (+ 1 (pow y 2)) 2)) (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))))
(/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))))
(sqrt (/ 1 (* x (+ 1 (pow y 2)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)))
(/ (- (/ (* y (+ 1 (pow y 2))) (- y 1)) (+ (/ 1 (- y 1)) (/ (pow y 2) (- y 1)))) (* x (pow (+ 1 (pow y 2)) 2)))
(/.f64 (fma.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) y (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 y #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)) x))
(* -1 (* x (- (* -1 (pow y 2)) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(* -1 (/ (* x (- (* -1 (pow y 2)) 1)) (- y 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(/ -1 (* x (- (* -1 (pow y 2)) 1)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 y y)) x))
(* -1 (* x (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1))))))
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(* -1 (/ (* x (pow (- (* -1 (pow y 2)) 1) 2)) (- (+ (/ 1 (- y 1)) (/ (* y (- (* -1 (pow y 2)) 1)) (- y 1))) (* -1 (/ (pow y 2) (- y 1))))))
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(/ (+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (* 3/8 (* (sqrt (/ 1 x)) (/ 1 (pow y 4)))))) y)
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(/ (+ (* -1 (/ (+ x (* -1 x)) (* (pow x 2) y))) (/ 1 x)) (pow y 2))
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rewrite563.0ms (8.4%)

Memory
-15.8MiB live, 512.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035319
059252
1261218
21940180
08314180
Stop Event
iter limit
node limit
iter limit
Counts
22 → 3 164
Calls
Call 1
Inputs
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))
(fma.f64 (*.f64 x y) y x)
(*.f64 x y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
#s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))
(pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)
(/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x)))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 y x) y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 y x) y x)) #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 y #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y y) x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (fma.f64 (*.f64 y x) y x)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (fma.f64 (*.f64 y x) y x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (fma.f64 (*.f64 y x) y x)) (fma.f64 (*.f64 y x) y x))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (fma.f64 (*.f64 y x) y x)) (fma.f64 (*.f64 y x) y x))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (*.f64 y y) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) (pow.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) y x))
(*.f64 (fma.f64 (*.f64 y x) y x) (/.f64 (fma.f64 (*.f64 y x) y x) (fma.f64 (*.f64 y x) y x)))
(*.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x)) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 y y) x (neg.f64 x)) (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 y x) y)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 y x) y))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)))) (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y x) y x)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) (fma.f64 (*.f64 y x) y x))) (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y x) y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 y x) y x) y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 3 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y x) y x) (+.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) x (neg.f64 x)))))
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(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
(fma.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (fma.f64 (*.f64 y x) y x)) (/.f64 (/.f64 y (fma.f64 (*.f64 y x) y x)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)))))
(fma.f64 (/.f64 (/.f64 y (fma.f64 (*.f64 y x) y x)) (-.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 y x) y x) (fma.f64 (*.f64 y x) y x)) (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)))))
(fma.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 y x) y x)) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)) (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)))))
(fma.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)))))
(fma.f64 (fma.f64 (*.f64 y x) y x) (/.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal 2 binary64))) (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)))))
(fma.f64 y (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 y (fma.f64 (*.f64 y x) y x)) (-.f64 y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64))))
(exp.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/2 binary64))))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 y x) y x))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 y x) y x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 y x) y x))))
(+.f64 (/.f64 (/.f64 y (fma.f64 (*.f64 y x) y x)) (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -2 binary64)))))

eval217.0ms (3.3%)

Memory
26.4MiB live, 323.8MiB allocated
Compiler

Compiled 58 374 to 4 948 computations (91.5% saved)

prune147.0ms (2.2%)

Memory
5.0MiB live, 83.4MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New1 35481 362
Fresh224
Picked415
Done156
Total1 361161 377
Accuracy
100.0%
Counts
1 377 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(fma.f64 (*.f64 y y) x x)
99.9%
(fma.f64 (*.f64 x y) y x)
99.0%
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/4 binary64)) #s(literal -4 binary64))
57.1%
(pow.f64 (pow.f64 #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
55.5%
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) #s(approx (pow (- y 1) -1) (/.f64 #s(literal 1 binary64) y)))
64.1%
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
15.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (*.f64 (*.f64 y x) y)) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
57.7%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) #s(approx (pow (+ (* (* x y) y) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))))
49.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) x)))
57.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
68.6%
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
45.8%
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y)))
99.4%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
46.4%
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
49.9%
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
57.2%
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
Compiler

Compiled 889 to 317 computations (64.3% saved)

regimes42.0ms (0.6%)

Memory
-24.0MiB live, 60.6MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (*.f64 y y) x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) y x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) #s(approx (/ 1 (- y 1)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* y y) 1) (*.f64 y y))) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) x)))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y x) y x)) (sqrt.f64 (fma.f64 (*.f64 y x) y x)))
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) #s(approx (pow (- y 1) -1) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (*.f64 (*.f64 y x) y)) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 x y) y x)) (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 x y) y x) (fma.f64 (*.f64 x y) y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 (/.f64 (fma.f64 (*.f64 x y) y x) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) #s(approx (pow (+ (* (* x y) y) x) -1/2) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) y x) #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 #s(approx (/ (- y 1) (* (+ (* (* y x) y) x) (- y 1))) (pow.f64 (*.f64 (*.f64 y x) y) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) y x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
Outputs
(fma.f64 (*.f64 x y) y x)
Calls

5 calls:

11.0ms
(*.f64 y y)
9.0ms
y
7.0ms
x
7.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
6.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
99.9%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes9.0ms (0.1%)

Memory
20.7MiB live, 20.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y y) x))
Outputs
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
#s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
2.0ms
(*.f64 y y)
2.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
62.1%3x
98.8%2y
82.6%2(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
98.8%2(+.f64 #s(literal 1 binary64) (*.f64 y y))
98.8%2(*.f64 y y)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes9.0ms (0.1%)

Memory
-15.5MiB live, 20.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
(*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64)))
Outputs
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
Calls

5 calls:

4.0ms
(*.f64 y y)
1.0ms
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
1.0ms
x
1.0ms
y
1.0ms
(+.f64 #s(literal 1 binary64) (*.f64 y y))
Results
AccuracySegmentsBranch
46.4%1x
46.4%1(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y y)))
46.4%1y
46.4%1(+.f64 #s(literal 1 binary64) (*.f64 y y))
46.4%1(*.f64 y y)
Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.8287525538704856
680036350048293.6
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify40.0ms (0.6%)

Memory
4.1MiB live, 42.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026115
166115
218291
367867
4404443
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
Outputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) #s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))
(if (<=.f64 (*.f64 y y) #s(literal 1 binary64)) #s(approx (* x (+ 1 (* y y))) x) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))
#s(approx (/ 1 (/ (- (* (/ y (- y 1)) (+ (* (* x y) y) x)) (/ (+ (* (* x y) y) x) (- y 1))) (* (+ (* (* x y) y) x) (+ (* (* x y) y) x)))) x)
#s(approx (* x (+ 1 (* y y))) x)

soundness807.0ms (12.1%)

Memory
2.6MiB live, 489.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03991579
112521474
244031351
085491293
01541
14241
27441
321241
470241
5192541
6260441
7369241
8503541
9593341
10689241
11723541
12735041
13742741
14749641
15764341
0818436
024149
041114
1176103
21262103
09025103
02179
03372
113472
273172
0846570
0615
0915
13415
220915
3140915
0823813
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 134 to 75 computations (44% saved)

preprocess154.0ms (2.3%)

Memory
2.7MiB live, 45.7MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 162 to 86 computations (46.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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