Bouland and Aaronson, Equation (26)

Time bar (total: 11.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.0s (8.7%)

Memory
30.1MiB live, 1 675.2MiB allocated
Samples
729.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 505.0ms
ival-mult: 238.0ms (47.2% of total)
ival-add: 112.0ms (22.2% of total)
ival-pow2: 95.0ms (18.8% of total)
ival-sub: 43.0ms (8.5% of total)
exact: 7.0ms (1.4% of total)
ival-true: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain187.0ms (1.6%)

Memory
17.1MiB live, 286.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
00-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
00-0-#s(literal 4 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 4 binary64) (*.f64 b b))
00-0-#s(literal 2 binary64)
00-0-b
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
54.0ms512×0valid
Compiler

Compiled 151 to 40 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 12.0ms (50.2% of total)
ival-pow2: 5.0ms (20.9% of total)
ival-add: 4.0ms (16.7% of total)
ival-sub: 2.0ms (8.4% of total)
exact: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess381.0ms (3.3%)

Memory
-29.0MiB live, 375.9MiB allocated
Algorithm
1×egg-herbie
Rules
19 974×lower-fma.f64
19 974×lower-fma.f32
2 982×lower-*.f32
2 976×lower-*.f64
2 792×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02887
17887
219385
361085
4213785
5580485
01217
01917
13217
25017
314317
442617
5120117
6231017
7552817
8757817
0805315
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 19 to 12 computations (36.8% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify257.0ms (2.2%)

Memory
19.6MiB live, 392.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff128
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff5440
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Rules
19 974×lower-fma.f64
19 974×lower-fma.f32
2 982×lower-*.f32
2 976×lower-*.f64
2 792×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01264
01964
13264
25064
314364
442664
5120164
6231064
7552864
8757864
0805358
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 a a (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize83.0ms (0.7%)

Memory
0.9MiB live, 108.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy0.0078125
(+.f64 (*.f64 a a) (*.f64 b b))
accuracy0.014003759768442016
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.09375
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Samples
72.0ms256×0valid
Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-pow2: 49.0ms (76.4% of total)
ival-mult: 11.0ms (17.2% of total)
ival-add: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-28.4MiB live, 16.7MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())
Outputs
#s(alt (pow b 4) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) (taylor 0 a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4))))) (taylor -inf a) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) (taylor 0 b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2))))) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4))))) (taylor -inf b) (#s(alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (patch (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) (taylor 0 a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2)))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (pow a 2) (pow b 2)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2)))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a a) (*.f64 b b)) (patch (+.f64 (*.f64 a a) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
Calls

27 calls:

TimeVariablePointExpression
1.0ms
b
@0
(* 4 (* b b))
0.0ms
b
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@inf
(pow (+ (* a a) (* b b)) 2)
0.0ms
b
@inf
(pow (+ (* a a) (* b b)) 2)

simplify354.0ms (3.1%)

Memory
39.9MiB live, 550.6MiB allocated
Algorithm
1×egg-herbie
Rules
24 056×lower-fma.f64
24 056×lower-fma.f32
5 040×lower-*.f64
5 040×lower-*.f32
2 602×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0791452
12401384
26711352
331241260
471701260
081911124
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
Outputs
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(+.f64 (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64)))) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b (/.f64 b (*.f64 a a))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a a))) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(* 4 (pow b 2))
(*.f64 #s(literal 4 binary64) (*.f64 b b))

rewrite397.0ms (3.5%)

Memory
-12.2MiB live, 469.6MiB allocated
Rules
9 970×lower-fma.f64
9 970×lower-fma.f32
5 048×lower-*.f32
5 042×lower-*.f64
3 006×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
01953
17753
260453
0806643
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 524
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
Outputs
(+.f64 (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 a (*.f64 a (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 b (fma.f64 b (*.f64 b b) (*.f64 (*.f64 a a) b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 b (*.f64 b (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) (*.f64 b b)) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) b) b (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) a) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) a) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 a (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) b) (*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) b) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 b (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 b (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) a) a (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (*.f64 a a) (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (sqrt.f64 (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 (*.f64 b b) (sqrt.f64 (fma.f64 a a (*.f64 b b)))) (sqrt.f64 (fma.f64 a a (*.f64 b b))) (*.f64 a (*.f64 a (fma.f64 a a (*.f64 b b)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
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(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (+.f64 a b) (-.f64 b a)))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b))))))
(/.f64 (exp.f64 (log.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (exp.f64 (log.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 b a))))
(/.f64 (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (+.f64 a b)) (-.f64 a b))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))) (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))) (fma.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))))
(*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
(*.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
(*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))))
(*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))) (/.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))
(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (neg.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))))
(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 b a))))
(*.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (pow.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (+.f64 a b)) (+.f64 a b))
(*.f64 (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 a a (*.f64 b b)))
(*.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))))) (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))) (-.f64 (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))) (*.f64 (*.f64 a a) (*.f64 a a))))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a)))))
(*.f64 (/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
(*.f64 b (*.f64 (*.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b #s(literal 4 binary64)) b)
(*.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b #s(literal 1 binary64)))

eval78.0ms (0.7%)

Memory
14.1MiB live, 163.4MiB allocated
Compiler

Compiled 37 049 to 1 751 computations (95.3% saved)

prune125.0ms (1.1%)

Memory
-17.9MiB live, 217.7MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New61715632
Fresh000
Picked101
Done000
Total61815633
Accuracy
100.0%
Counts
633 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(fma.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
99.9%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
99.9%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
14.2%
(-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
68.5%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶100.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
▶76.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
▶94.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
▶68.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
63.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
67.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
▶49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Compiler

Compiled 680 to 316 computations (53.5% saved)

simplify313.0ms (2.7%)

Memory
23.5MiB live, 358.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
cost-diff128
(*.f64 b #s(literal 2 binary64))
cost-diff192
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
cost-diff192
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
Rules
23 012×lower-fma.f32
22 994×lower-fma.f64
3 170×lower-*.f32
3 156×lower-*.f64
2 896×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035404
058381
1125371
2267368
3548368
4903368
51580365
62898365
76787365
08298343
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
b
(*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 4 binary64)
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
b
(*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(*.f64 b (fma.f64 a (+.f64 a a) (fma.f64 b b #s(literal 4 binary64))))
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a a) (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
(fma.f64 a (+.f64 a a) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 4 binary64)
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 a (+.f64 a a) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a (+.f64 a a) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a a) (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
(fma.f64 a (+.f64 a a) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 b (+.f64 b b) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
(fma.f64 b (+.f64 b b) (*.f64 a a))
(*.f64 b #s(literal 2 binary64))
(+.f64 b b)
#s(literal 2 binary64)
#s(literal -1 binary64)

localize151.0ms (1.3%)

Memory
-7.5MiB live, 186.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
accuracy0.0234375
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
accuracy0.0390625
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy5.853620457023549
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
accuracy0
(*.f64 a a)
accuracy0.00390625
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
accuracy6.0654680074408045
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy16.584601437692488
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.02734375
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy0.0390625
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy20.12377240020307
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0
(*.f64 a a)
accuracy0.07421875
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy0.07421875
(*.f64 a (*.f64 a a))
accuracy32.243101196462604
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0.03125
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
accuracy0.07421875
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy0.07421875
(*.f64 a (*.f64 a a))
accuracy4.75129730422196
(*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
Samples
89.0ms256×0valid
Compiler

Compiled 336 to 35 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sub: 35.0ms (49.3% of total)
ival-mult: 22.0ms (31% of total)
ival-add: 11.0ms (15.5% of total)
ival-pow2: 2.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
-42.3MiB live, 56.9MiB allocated
Counts
21 → 396
Calls
Call 1
Inputs
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (patch (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)) (patch (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) (patch #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a (*.f64 a a))) (patch (*.f64 a (*.f64 a (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a a)) (patch (*.f64 a (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (patch (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b b #s(literal 4 binary64)) (patch (fma.f64 b b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (patch (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (patch (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (pow a 4) (taylor 0 b) (#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) (taylor 0 b) (#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) (taylor 0 b) (#s(alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) (patch (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow a 2) (pow b 2))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) (patch (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

99 calls:

TimeVariablePointExpression
5.0ms
a
@inf
(* a (* a a))
1.0ms
b
@0
(+ (* b (* b (+ (* b b) 4))) (+ (* (* a a) (+ (* b (* b 2)) (* a a))) -1))
0.0ms
b
@0
(+ (* b (* b (+ (* b b) (+ (* 2 (* a a)) 4)))) (* a (* a (* a a))))
0.0ms
a
@inf
(+ (* b (* b (+ (* b b) (+ (* 2 (* a a)) 4)))) (* a (* a (* a a))))
0.0ms
b
@inf
(+ (* b (* b (+ (* b b) (+ (* 2 (* a a)) 4)))) (* a (* a (* a a))))

simplify365.0ms (3.2%)

Memory
13.2MiB live, 533.4MiB allocated
Algorithm
1×egg-herbie
Rules
19 246×lower-fma.f64
19 246×lower-fma.f32
5 164×lower-*.f64
5 164×lower-*.f32
2 750×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01296048
13975876
211765640
345275416
467055416
080974897
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
4
(+ 4 (* 2 (pow a 2)))
(+ 4 (* 2 (pow a 2)))
(+ 4 (* 2 (pow a 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
4
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(+ 4 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
-1
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(+ 4 (* 2 (pow a 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
-1
(- (* 2 (* (pow a 2) (pow b 2))) 1)
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
Outputs
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)) (*.f64 b b)))
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 1 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(+ 4 (* 2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(+ 4 (* 2 (pow a 2)))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(* 2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(* 2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
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(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 4 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 b b (fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64)))
(* 2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* 2 (pow a 2))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 a a) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (* (pow a 2) (pow b 2))) 1)
(fma.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b (*.f64 a a)) #s(literal -1 binary64))
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(- (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (* 2 (/ (pow b 2) (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 a (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))) #s(literal -1 binary64))
(- (pow a 4) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b (*.f64 b #s(literal 2 binary64)))) #s(literal -1 binary64))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a a))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)))) #s(literal -1 binary64))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 b (*.f64 a a))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))) (/ 1 (pow b 2))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b b)))) #s(literal -1 binary64))

rewrite606.0ms (5.3%)

Memory
4.6MiB live, 643.6MiB allocated
Rules
7 578×lower-fma.f32
7 560×lower-fma.f64
5 536×lower-*.f32
5 522×lower-*.f64
4 508×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035331
058319
1280309
22281309
010271288
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 532
Calls
Call 1
Inputs
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b b)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 b #s(literal 2 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
(*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
Outputs
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))
(+.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))))
(+.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))) (/.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 b (*.f64 b (*.f64 b b)) (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))))
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) b (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 (*.f64 a (*.f64 a a)) a (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a))))
(fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))))
(fma.f64 (*.f64 b (*.f64 b b)) b (fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))))) (fma.f64 b (*.f64 (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))))) (fma.f64 a (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)))) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 a (*.f64 a (*.f64 a a))))))))
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b))) (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a))))) (-.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b)) (*.f64 a (*.f64 a (*.f64 a a)))))
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(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b)))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (-.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
(+.f64 (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64))))) (*.f64 a (*.f64 a (*.f64 a a))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))))
(fma.f64 b (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (*.f64 b (*.f64 b #s(literal 2 binary64)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (*.f64 a (*.f64 b b))) #s(literal 2 binary64) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 2 binary64))) a) a (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 a a) b) (*.f64 b #s(literal 2 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 b #s(literal 2 binary64))) b (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64)) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64))) (*.f64 (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))))
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b))) #s(literal 8 binary64)) (pow.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64))))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b #s(literal 2 binary64))))) (*.f64 a (*.f64 a (*.f64 a a)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #s(literal 1 binary64))))

eval180.0ms (1.6%)

Memory
18.3MiB live, 240.8MiB allocated
Compiler

Compiled 56 133 to 2 226 computations (96% saved)

prune179.0ms (1.6%)

Memory
9.4MiB live, 209.5MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1 23091 239
Fresh2810
Picked325
Done000
Total1 235191 254
Accuracy
100.0%
Counts
1 254 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(fma.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
99.9%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
▶99.9%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶68.5%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64)))))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
76.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶100.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
✓68.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
93.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) (*.f64 b b))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
51.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
67.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
✓49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
▶21.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
▶48.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
Compiler

Compiled 650 to 320 computations (50.8% saved)

simplify312.0ms (2.7%)

Memory
-36.9MiB live, 251.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a a (*.f64 b b))
cost-diff128
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
cost-diff0
(*.f64 b (*.f64 b (*.f64 b b)))
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b))))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
cost-diff0
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
cost-diff128
(*.f64 b #s(literal 2 binary64))
cost-diff192
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
Rules
21 466×lower-fma.f32
21 456×lower-fma.f64
2 824×lower-*.f32
2 814×lower-+.f32
2 810×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048403
075374
1144357
2271356
3563356
4944356
51770352
63249352
76574352
08138339
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
a
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
b
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a a)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(*.f64 a (fma.f64 b (+.f64 b b) (*.f64 a a)))
a
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
(fma.f64 b (+.f64 b b) (*.f64 a a))
b
(*.f64 b #s(literal 2 binary64))
(+.f64 b b)
#s(literal 2 binary64)
(*.f64 a a)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
#s(literal 4 binary64)

localize125.0ms (1.1%)

Memory
12.4MiB live, 67.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy0.014003759768442016
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.07421875
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
accuracy0.33705972187318284
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy0.014003759768442016
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.05078125
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy0.0625
(*.f64 b (*.f64 b b))
accuracy23.488490715029965
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b))))
accuracy0
(*.f64 b b)
accuracy0.053066259768442016
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
accuracy20.12377240020307
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
accuracy30.64995287344763
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
accuracy16.584601437692488
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
accuracy41.92045159228784
#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
accuracy0.01953125
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy0.02734375
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy0.0390625
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
accuracy4.2658630938910616
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
Samples
53.0ms256×0valid
Compiler

Compiled 337 to 37 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 18.0ms (50.3% of total)
ival-add: 10.0ms (27.9% of total)
ival-div: 3.0ms (8.4% of total)
ival-sub: 2.0ms (5.6% of total)
ival-pow2: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
23 → 444
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (patch (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) (patch (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (patch (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (patch (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (patch (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) (patch (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())
Outputs
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor 0 b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow b 2)) (taylor -inf b) (#s(alt (*.f64 #s(literal 4 binary64) (*.f64 b b)) (patch (*.f64 #s(literal 4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow a 2)) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2))) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2)) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #<representation binary64>) () ())) ())
Calls

111 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(/ 1 (+ (* a a) (* b b)))
0.0ms
a
@0
(* a (+ (* b (* b 2)) (* a a)))
0.0ms
a
@0
(/ 1 (+ (* a a) (* b b)))
0.0ms
b
@0
(/ 1 (+ (* a a) (* b b)))
0.0ms
a
@inf
(/ 1 (+ (* a a) (* b b)))

simplify477.0ms (4.2%)

Memory
9.1MiB live, 428.9MiB allocated
Algorithm
1×egg-herbie
Rules
26 240×lower-fma.f64
26 240×lower-fma.f32
5 484×lower-*.f64
5 484×lower-*.f32
2 234×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01886312
15495956
215305820
362175394
082714831
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(pow a 3)
(+ (* 2 (* a (pow b 2))) (pow a 3))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
-1
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 4)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 4 b)
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(* b (+ 4 (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
Outputs
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
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(- (pow a 4) 1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
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(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
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(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(* 2 b)
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
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(- (pow a 4) 1)
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(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
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(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
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(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
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(* 2 (* a (pow b 2)))
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(* a (+ (* 2 (pow b 2)) (pow a 2)))
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(* a (+ (* 2 (pow b 2)) (pow a 2)))
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(* a (+ (* 2 (pow b 2)) (pow a 2)))
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(pow a 3)
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(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
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(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
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(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
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(pow a 3)
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(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
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(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
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(pow a 3)
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(+ (* 2 (* a (pow b 2))) (pow a 3))
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(+ (* 2 (* a (pow b 2))) (pow a 3))
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(+ (* 2 (* a (pow b 2))) (pow a 3))
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(* 2 (* a (pow b 2)))
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(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
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(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
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(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
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(* 2 (* a (pow b 2)))
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(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
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(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
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(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
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(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
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(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
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(- (pow a 4) 1)
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(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
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(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
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(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
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(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
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-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
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(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
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(*.f64 b (*.f64 b (*.f64 b b)))
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-1
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(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* 4 b)
(*.f64 b #s(literal 4 binary64))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* b (+ 4 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 a (*.f64 a (*.f64 a (/.f64 a (pow.f64 b #s(literal 6 binary64))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64)))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (fma.f64 b (/.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 b (*.f64 (/.f64 b (pow.f64 a #s(literal 6 binary64))) (*.f64 b b)) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (*.f64 b (fma.f64 b (/.f64 (*.f64 b b) (neg.f64 (pow.f64 a #s(literal 8 binary64)))) (/.f64 b (pow.f64 a #s(literal 6 binary64))))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b (*.f64 b (*.f64 b b)))) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal -1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))

rewrite341.0ms (3%)

Memory
28.4MiB live, 673.6MiB allocated
Rules
4 828×lower-*.f32
4 810×lower-*.f64
3 592×lower-/.f32
3 588×lower-/.f64
3 578×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048358
075334
1313317
22685317
08783295
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 593
Calls
Call 1
Inputs
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 b #s(literal 2 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 b b)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 a a (*.f64 b b))
(*.f64 b (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 b (*.f64 b b))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
(+.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))
(+.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) (/.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))))
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) a (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))
(fma.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) b (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))
(fma.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (*.f64 b (fma.f64 b b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))) (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))) (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a)))) (-.f64 (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)))
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(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 (*.f64 b #s(literal 4 binary64)) b)
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))
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eval947.0ms (8.3%)

Memory
-122.9MiB live, 478.4MiB allocated
Compiler

Compiled 45 359 to 2 417 computations (94.7% saved)

prune169.0ms (1.5%)

Memory
-22.2MiB live, 400.8MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New1 22251 227
Fresh21012
Picked325
Done022
Total1 227191 246
Accuracy
100.0%
Counts
1 246 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.0%
(fma.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
99.9%
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
83.4%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64)))))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
76.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
▶78.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
69.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
✓68.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
51.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
▶49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
48.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
▶67.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
✓49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
✓21.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
48.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
✓48.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
▶31.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
Compiler

Compiled 595 to 289 computations (51.4% saved)

simplify370.0ms (3.2%)

Memory
24.9MiB live, 423.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
cost-diff0
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
cost-diff128
(*.f64 b #s(literal 2 binary64))
cost-diff0
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
cost-diff0
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
cost-diff128
(*.f64 b #s(literal 2 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
(*.f64 (*.f64 b b) #s(literal 4 binary64))
cost-diff0
#s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
cost-diff0
(*.f64 b #s(literal 4 binary64))
cost-diff0
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
Rules
26 042×lower-fma.f32
26 032×lower-fma.f64
3 790×lower-+.f64
3 790×lower-+.f32
3 260×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042433
065399
1132387
2259383
3616383
41676383
52618383
64773383
08233370
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
b
(*.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a a (*.f64 b b))
a
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
a
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
b
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
a
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
b
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 a a)
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(*.f64 b b)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
b
(*.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
a
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
#s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(approx (* (* b b) (+ (* b b) 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a a)
a
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) (*.f64 a a)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(*.f64 a (*.f64 a (fma.f64 b (+.f64 b b) (*.f64 a a))))
a
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(*.f64 a (fma.f64 b (+.f64 b b) (*.f64 a a)))
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
(fma.f64 b (+.f64 b b) (*.f64 a a))
b
(*.f64 b #s(literal 2 binary64))
(+.f64 b b)
#s(literal 2 binary64)
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) (*.f64 a a))) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 a (*.f64 a (fma.f64 b (+.f64 b b) (*.f64 a a))) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(*.f64 a (fma.f64 b (+.f64 b b) (*.f64 a a)))
a
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
(fma.f64 b (+.f64 b b) (*.f64 a a))
b
(*.f64 b #s(literal 2 binary64))
(+.f64 b b)
#s(literal 2 binary64)
(*.f64 a a)
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(*.f64 b b)

localize117.0ms (1%)

Memory
-13.4MiB live, 135.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy0.0625
(*.f64 b (*.f64 b b))
accuracy4.265863093891061
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
accuracy30.829246276213112
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))
accuracy0
(*.f64 a a)
accuracy1.4796955743090179
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
accuracy4.265863093891061
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
accuracy26.370359895721858
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
accuracy0
(*.f64 a a)
accuracy0.139003759768442
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy32.243101196462604
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0.014003759768442016
(*.f64 (*.f64 b b) #s(literal 4 binary64))
accuracy13.555189473702185
#s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
accuracy20.12377240020307
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
accuracy30.64995287344763
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
accuracy0.00390625
(fma.f64 a a (*.f64 b b))
accuracy0.03515625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
accuracy0.046875
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
accuracy0.13208834042996143
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
Samples
63.0ms256×0valid
Compiler

Compiled 343 to 38 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 27.0ms (63.2% of total)
ival-add: 8.0ms (18.7% of total)
ival-div: 3.0ms (7% of total)
ival-pow2: 2.0ms (4.7% of total)
ival-sub: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
-23.0MiB live, 22.6MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) (patch (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 4 binary64)) (patch (*.f64 b #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (patch #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 b b) #s(literal 4 binary64)) (patch (*.f64 (*.f64 b b) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 a a) (*.f64 a a)) (patch (*.f64 (*.f64 a a) (*.f64 a a)) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))) #<representation binary64>) () ())
#s(alt (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) (patch (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))) #<representation binary64>) () ())
#s(alt (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) (patch (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 a a (*.f64 b b)) (patch (fma.f64 a a (*.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())
Outputs
#s(alt (- (pow a 4) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (pow b 4)) 1) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))) #<representation binary64>) () ())) ())
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#s(alt (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1) (taylor 0 b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
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#s(alt (pow b 4) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2)))))) (taylor -inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) (patch #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1) (taylor 0 a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (pow a 4) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) (patch (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))) #<representation binary64>) () ())) ())
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#s(alt (- (* (pow b 2) (+ 4 (pow b 2))) 1) (taylor 0 b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4)))) (taylor -inf b) (#s(alt #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) (patch #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 3) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b b)) (patch (*.f64 b (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor 0 b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (pow b 4) (taylor -inf b) (#s(alt (*.f64 b (*.f64 b (*.f64 b b))) (patch (*.f64 b (*.f64 b (*.f64 b b))) #<representation binary64>) () ())) ())
Calls

102 calls:

TimeVariablePointExpression
3.0ms
a
@inf
(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
b
@0
(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
a
@0
(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
1.0ms
b
@inf
(/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))
0.0ms
b
@-inf
(* b 4)

simplify490.0ms (4.3%)

Memory
26.5MiB live, 441.3MiB allocated
Algorithm
1×egg-herbie
Rules
16 810×lower-fma.f64
16 810×lower-fma.f32
5 458×lower-+.f64
5 458×lower-+.f32
4 920×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02356731
17186684
225756485
081576084
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(/ 1 (- (pow a 4) 1))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (- (pow a 4) 1))) (* (+ 4 (* 2 (pow a 2))) (- 1 (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (- (pow a 4) 1))) (* (+ 4 (* 2 (pow a 2))) (- 1 (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1))
(+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2)))) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* -2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3)))))) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1 (pow a 4))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (pow b 2) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* 2 (* (pow b 2) (- 1 (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))))) (pow a 6))) (/ 1 (pow a 4)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1 (pow a 4))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (pow b 2) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* 2 (* (pow b 2) (- 1 (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))))) (pow a 6))) (/ 1 (pow a 4)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(* 4 b)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(* 4 (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 3)
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(pow a 3)
(+ (* 2 (* a (pow b 2))) (pow a 3))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(- (pow a 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
Outputs
(- (pow a 4) 1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) (*.f64 a (*.f64 a (*.f64 a a))))) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
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(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))))
(- (pow b 4) 1)
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (/.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a a))))))))
(- (pow a 4) 1)
(fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64)))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 b b) (fma.f64 a (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))

rewrite546.0ms (4.8%)

Memory
6.4MiB live, 852.8MiB allocated
Rules
6 612×lower-fma.f32
6 602×lower-fma.f64
4 476×lower-*.f32
4 456×lower-*.f64
3 670×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042375
065337
1259325
21845325
08786303
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 670
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))))
(fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))
(*.f64 b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
(*.f64 b #s(literal 2 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
(*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
(fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 a a (*.f64 b b))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))
(*.f64 b (*.f64 b b))
(*.f64 b (*.f64 b (*.f64 b b)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))))
(+.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) (*.f64 b (*.f64 b #s(literal 4 binary64))))
(+.f64 (fma.f64 b (*.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))) #s(literal -1 binary64))
(+.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)))
(+.f64 (*.f64 b (*.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) (+.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b #s(literal 4 binary64)))))
(+.f64 (*.f64 a (*.f64 a (fma.f64 b b (*.f64 a a)))) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
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(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) (sqrt.f64 (fma.f64 b b (*.f64 a a))))
(*.f64 (pow.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 b b (*.f64 a a)) (+.f64 a b)) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 a b)))
#s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (*.f64 b b)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 3/2 binary64)))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 3 binary64))
(*.f64 b (*.f64 b b))
(*.f64 (*.f64 b b) b)
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 b b)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b) (log.f64 (*.f64 b b))))
(pow.f64 b #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 (*.f64 b (*.f64 b b)) b)

eval248.0ms (2.2%)

Memory
28.0MiB live, 348.1MiB allocated
Compiler

Compiled 63 532 to 2 437 computations (96.2% saved)

prune254.0ms (2.2%)

Memory
-17.5MiB live, 619.2MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New1 26051 265
Fresh4610
Picked145
Done044
Total1 265191 284
Accuracy
100.0%
Counts
1 284 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
16.0%
(fma.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
49.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 a (*.f64 a (*.f64 a a))))))
83.4%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
69.8%
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
48.0%
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
76.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
✓78.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
55.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
✓68.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
51.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
✓67.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
✓49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
✓21.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
48.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
✓48.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
✓31.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
Compiler

Compiled 882 to 241 computations (72.7% saved)

regimes105.0ms (0.9%)

Memory
12.9MiB live, 149.5MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) (*.f64 b b))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64)))))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* a a) (* b b)) (*.f64 a a)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 4 binary64)) (fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (fma.f64 a (*.f64 a (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 b (*.f64 b (*.f64 b (*.f64 b (*.f64 b b)))))) (/.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 (+.f64 a b) (-.f64 b a))))) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
Calls

6 calls:

48.0ms
(*.f64 a a)
16.0ms
a
11.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
10.0ms
b
9.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
100.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
100.0%1(*.f64 a a)
100.0%1(*.f64 b b)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes48.0ms (0.4%)

Memory
27.8MiB live, 117.7MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 b (*.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) (*.f64 b b))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) #s(literal -1 binary64))))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

6 calls:

9.0ms
(*.f64 a a)
9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
8.0ms
b
8.0ms
a
7.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.9%1(*.f64 a a)
99.9%1(*.f64 b b)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes56.0ms (0.5%)

Memory
-10.3MiB live, 96.9MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 a (*.f64 a (*.f64 a a))))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

6 calls:

21.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
9.0ms
(*.f64 b b)
7.0ms
b
7.0ms
a
6.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.9%1(*.f64 a a)
99.9%1(*.f64 b b)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes53.0ms (0.5%)

Memory
13.8MiB live, 97.1MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(approx (+ (* 2 (* a a)) 4) (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)) (*.f64 a (*.f64 a (*.f64 a a))))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))))
Calls

6 calls:

18.0ms
(*.f64 b b)
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
6.0ms
b
6.0ms
a
6.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.7%2a
98.5%2b
89.9%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
89.9%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
98.7%2(*.f64 a a)
98.5%2(*.f64 b b)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes21.0ms (0.2%)

Memory
-4.2MiB live, 40.0MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64)))
Calls

4 calls:

8.0ms
(*.f64 a a)
4.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.2%2b
96.2%2(*.f64 b b)
93.3%2a
93.3%2(*.f64 a a)
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes16.0ms (0.1%)

Memory
-31.8MiB live, 23.7MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
Calls

2 calls:

12.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.1%2b
96.1%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes21.0ms (0.2%)

Memory
-7.1MiB live, 38.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (/ 1 (/ 1 (+ (* b (* b 4)) (+ (* (+ (* a a) (* b b)) (+ (* a a) (* b b))) -1)))) (*.f64 b (*.f64 b (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a))))
Calls

6 calls:

5.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
3.0ms
b
3.0ms
a
3.0ms
(*.f64 b b)
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
73.4%4(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
73.4%4(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
83.0%2a
83.0%2(*.f64 a a)
75.7%2b
75.7%2(*.f64 b b)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes11.0ms (0.1%)

Memory
24.5MiB live, 24.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
Calls

6 calls:

2.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
51.2%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
51.2%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
51.2%1b
51.2%1(*.f64 b b)
51.2%1a
51.2%1(*.f64 a a)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes12.0ms (0.1%)

Memory
-24.2MiB live, 22.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
Calls

6 calls:

4.0ms
a
2.0ms
b
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 b b)
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
38.7%2a
51.1%2b
51.5%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
51.5%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
38.7%2(*.f64 a a)
51.1%2(*.f64 b b)
Compiler

Compiled 52 to 32 computations (38.5% saved)

regimes8.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
Calls

6 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
b
1.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
21.4%1a
21.4%1(*.f64 a a)
21.4%1b
21.4%1(*.f64 b b)
21.4%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
21.4%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Compiler

Compiled 52 to 32 computations (38.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
11544068.149063533
9048059602361649000.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0001998660815432522
15161040.816539545
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0001998660815432522
15161040.816539545
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
17980017461991268000.0
2.5173713559759427e+25
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.00026739519783024407
6926468.740493227
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify8.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
4×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077497
192497
Stop Event
1×saturated
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 20000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))))
(if (<=.f64 (*.f64 a a) #s(literal 20000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))) a (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 b (*.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 20000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 4 binary64))) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64))))))
(if (<=.f64 (*.f64 b b) #s(literal 7378697629483821/36893488147419103232 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 a (*.f64 a (*.f64 a a)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))))
(if (<=.f64 (*.f64 a a) #s(literal 20000000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 a (*.f64 a (*.f64 a a)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 b #s(approx (+ (* b b) 4) #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* b (* b (+ (* b b) 4))) -1) #s(approx (* (* b b) (+ (* b b) 4)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) (+ (* 2 (* a a)) 4))) -1) #s(literal -1 binary64)))

soundness1.9s (16.4%)

Memory
-11.8MiB live, 1 252.8MiB allocated
Rules
26 240×lower-fma.f64
26 240×lower-fma.f32
24 056×lower-fma.f64
24 056×lower-fma.f32
19 246×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01886312
15495956
215305820
362175394
082714831
01253
01953
17753
260453
0806643
042375
065337
1259325
21845325
08786303
01296048
13975876
211765640
345275416
467055416
080974897
035331
058319
1280309
22281309
010271288
0791452
12401384
26711352
331241260
471701260
081911124
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 461 to 184 computations (60.1% saved)

preprocess67.0ms (0.6%)

Memory
-30.4MiB live, 151.5MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 540 to 160 computations (70.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...