Bouland and Aaronson, Equation (24)

Time bar (total: 11.2s)

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.2s (10.6%)

Memory
1.3MiB live, 1 871.8MiB allocated
Samples
862.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 650.0ms
ival-mult: 272.0ms (41.8% of total)
ival-add: 192.0ms (29.5% of total)
ival-pow2: 85.0ms (13.1% of total)
ival-sub: 80.0ms (12.3% of total)
exact: 12.0ms (1.8% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess527.0ms (4.7%)

Memory
-16.0MiB live, 673.5MiB allocated
Algorithm
egg-herbie
Rules
26 512×lower-fma.f64
26 512×lower-fma.f32
4 188×lower-+.f32
4 180×lower-+.f64
3 330×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044149
1154147
2653145
32940145
46883145
01829
03029
16329
217829
355229
4155829
5283629
6670329
0809126
Stop Event
iter limit
node limit
iter limit
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
Symmetry

(abs b)

explain250.0ms (2.2%)

Memory
27.7MiB live, 421.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
400-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
190-2(6.64729877717473e+25 9.270681055240678e-158)(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(-.f64 #s(literal 1 binary64) a)
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 3 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))nan-rescue500
(*.f64 b b)overflow62
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow155
(*.f64 a a)overflow75
(+.f64 (*.f64 a a) (*.f64 b b))overflow121
(*.f64 b b)overflow62
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))overflow136
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow136
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow86
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow90
(*.f64 a a)overflow75
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue400
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow90
(*.f64 a a)overflow75
(*.f64 b b)overflow62
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow86
Confusion
Predicted +Predicted -
+740
-0182
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7400
-00182
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0182
158
216
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
61.0ms512×0valid
Compiler

Compiled 338 to 76 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 15.0ms (42.8% of total)
ival-add: 9.0ms (25.7% of total)
ival-pow2: 5.0ms (14.3% of total)
ival-sub: 4.0ms (11.4% of total)
ival-true: 1.0ms (2.9% of total)
exact: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify628.0ms (5.6%)

Memory
-12.2MiB live, 661.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 a a) (*.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff320
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff5440
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Rules
26 512×lower-fma.f64
26 512×lower-fma.f32
4 188×lower-+.f32
4 180×lower-+.f64
3 330×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018136
030136
163136
2178136
3552136
41558136
52836136
66703136
08091126
Stop Event
iter limit
node limit
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))))
(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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a (-.f64 a (*.f64 a a)))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+.f64 #s(literal 3 binary64) a)
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize59.0ms (0.5%)

Memory
-15.8MiB live, 87.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy94.3%
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy86.3%
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy84.4%
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Samples
39.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 14.0ms (48.8% of total)
ival-mult: 10.0ms (34.8% of total)
ival-sub: 2.0ms (7% of total)
ival-pow2: 2.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))>
#<alt (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))>
#<alt (+.f64 (*.f64 a a) (*.f64 b b))>
#<alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))>
#<alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))>
Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 12 (pow b 2)) (pow b 4))>
#<alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))>
#<alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))>
#<alt (* -1 (pow a 3))>
#<alt (* (pow a 3) (- (/ 1 a) 1))>
#<alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))>
#<alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* -1 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))>
#<alt (* (pow a 2) (- 1 a))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
b
@0
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
1.0ms
b
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@inf
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
b
@inf
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

rewrite513.0ms (4.6%)

Memory
3.0MiB live, 357.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 458×lower-fma.f64
5 458×lower-fma.f32
4 122×lower-/.f64
4 122×lower-/.f32
3 974×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01894
03094
114094
2125194
0829981
Stop Event
iter limit
node limit
iter limit
Counts
6 → 546
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a 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 (*.f64 a 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 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(/.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 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b 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 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b 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)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b 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 b b) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.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)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.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)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))))
(/.f64 (neg.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))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64))) (fma.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)) (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))) (-.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64))))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))
(*.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))

simplify553.0ms (4.9%)

Memory
-4.0MiB live, 476.6MiB allocated
Algorithm
egg-herbie
Rules
19 992×lower-fma.f64
19 992×lower-fma.f32
4 374×lower-+.f64
4 374×lower-+.f32
3 756×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912222
15992169
218452105
357612012
084751830
Stop Event
iter limit
node limit
Counts
144 → 144
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)))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (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 b (*.f64 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 (*.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)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.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)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.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)
(*.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)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.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)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.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)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a 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 (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.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 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 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)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.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 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* 12 (pow b 2)) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal -2 binary64) #s(literal -4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(pow a 4)
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(* (pow a 4) (- 1 (* 4 (/ 1 a))))
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
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(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (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 (/ (+ 3 a) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(pow b 4)
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(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
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(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
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(pow b 2)
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(+ (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))
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(pow a 2)
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(* (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))))
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(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
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(* (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)
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(+ (pow a 2) (pow b 2))
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(+ (pow a 2) (pow b 2))
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(pow b 2)
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(pow b 2)
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
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(* 3 (pow b 2))
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(+ (* 3 (pow b 2)) (* a (pow b 2)))
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(* (pow a 3) (- (/ 1 a) 1))
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(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
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(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
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(* (pow a 2) (- 1 a))
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(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))

eval150.0ms (1.3%)

Memory
26.3MiB live, 138.4MiB allocated
Compiler

Compiled 59 977 to 2 604 computations (95.7% saved)

prune135.0ms (1.2%)

Memory
-23.8MiB live, 102.0MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New67911690
Fresh000
Picked101
Done000
Total68011691
Accuracy
100.0%
Counts
691 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.1%
(fma.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)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
68.3%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
71.0%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
99.9%
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
89.1%
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
82.7%
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
43.6%
(-.f64 (+.f64 (pow.f64 (*.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)))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
71.0%
(-.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
59.3%
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
44.7%
(*.f64 b (*.f64 b (*.f64 b b)))
47.5%
(*.f64 a (*.f64 a (*.f64 a a)))
Compiler

Compiled 606 to 304 computations (49.8% saved)

simplify485.0ms (4.3%)

Memory
-1.5MiB live, 741.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff896
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
cost-diff0
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
cost-diff320
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
cost-diff0
(fma.f64 b b #s(literal 12 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 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
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff128
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
Rules
25 366×lower-fma.f32
25 338×lower-fma.f64
4 790×lower-+.f32
4 784×lower-+.f64
2 450×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037327
076315
1189307
2531301
31513301
43735301
55238301
67690301
08050289
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
a
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 b b)
b
#s(literal 4 binary64)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b b)
b
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
a
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
(fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 2 binary64)
(*.f64 b b)
b
#s(literal 4 binary64)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) #s(literal -1 binary64))
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
(fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(*.f64 a (*.f64 a a))
(*.f64 a a)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a (-.f64 a (*.f64 a a)))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 b b)
b
(+.f64 #s(literal 3 binary64) a)
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize170.0ms (1.5%)

Memory
17.6MiB live, 188.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy94.3%
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy86.3%
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy85.9%
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
accuracy96.6%
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
accuracy95.2%
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
accuracy100.0%
(fma.f64 b b #s(literal 12 binary64))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy100.0%
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
accuracy100.0%
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy95.4%
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
Samples
99.0ms238×0valid
6.0ms12×1valid
4.0ms2valid
Compiler

Compiled 367 to 49 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 46.0ms (63.7% of total)
ival-add: 19.0ms (26.3% of total)
adjust: 3.0ms (4.2% of total)
ival-sub: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
-16.4MiB live, 23.9MiB allocated
Counts
20 → 348
Calls
Call 1
Inputs
#<alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))>
#<alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))>
#<alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))>
#<alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))>
#<alt (*.f64 a (*.f64 a (*.f64 a a)))>
#<alt (*.f64 a (*.f64 a a))>
#<alt (*.f64 a a)>
#<alt (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))>
#<alt (*.f64 b b)>
#<alt (fma.f64 b b #s(literal 12 binary64))>
#<alt (fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))>
#<alt (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))>
#<alt (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))>
#<alt (-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))>
#<alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))>
#<alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))>
#<alt (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))>
#<alt (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))>
#<alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))>
Outputs
#<alt 4>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt 4>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* -4 a))>
#<alt (* -4 a)>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* -4 a)>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))>
#<alt (* b (+ 12 (pow b 2)))>
#<alt (+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))>
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))>
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt -1>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt 12>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ 4 (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))>
#<alt (* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))>
#<alt (* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)>
#<alt (- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* a (+ 4 (* 2 (pow b 2))))>
#<alt (* 4 a)>
#<alt (+ (* 2 (* a (pow b 2))) (* 4 a))>
#<alt (+ (* 2 (* a (pow b 2))) (* 4 a))>
#<alt (+ (* 2 (* a (pow b 2))) (* 4 a))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* 2 (* a (pow b 2)))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))>
#<alt 4>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (+ 4 (* 2 (pow b 2)))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))>
#<alt (* 12 (pow b 2))>
#<alt (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))>
#<alt (+ (* 12 (pow b 2)) (* a (+ (* 4 a) (* 4 (pow b 2)))))>
#<alt (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* -4 a))))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 4 (/ (pow b 2) a))) a))) a))))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4)))>
#<alt (* 4 (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))>
#<alt (* 4 (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))>
#<alt (* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (* a (+ (* 4 a) (* 4 (pow b 2))))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* -4 a)))))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 4 (/ (pow b 2) a))) a))) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)>
#<alt (* 4 (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* 4 (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))>
#<alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))>
#<alt (* -1 (pow a 3))>
#<alt (* (pow a 3) (- (/ 1 a) 1))>
#<alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))>
#<alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* -1 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))>
#<alt (* (pow a 2) (- 1 a))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))>
#<alt 12>
#<alt (+ 12 (* 4 a))>
#<alt (+ 12 (* a (+ 4 (* 2 a))))>
#<alt (+ 12 (* a (+ 4 (* 2 a))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt -1>
#<alt (- (* (pow b 2) (+ 12 (* 4 a))) 1)>
#<alt (- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (* 4 (* a (pow b 2)))>
#<alt (* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))>
#<alt (* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))>
#<alt (* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))>
#<alt (* 4 (* a (pow b 2)))>
#<alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))>
#<alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))>
#<alt (* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
Calls

87 calls:

TimeVariablePointExpression
3.0ms
a
@0
(* a (* a (* a a)))
2.0ms
a
@-inf
(+ (* a (* a (* a a))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
1.0ms
b
@0
(+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1))
1.0ms
a
@0
(* a (+ (* 2 (* b b)) 4))
1.0ms
b
@inf
(+ (* b (* b (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1))

rewrite376.0ms (3.4%)

Memory
26.3MiB live, 661.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 866×lower-*.f32
5 848×lower-*.f64
5 512×lower-fma.f32
5 484×lower-fma.f64
2 910×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037225
076217
1400211
23689211
08969202
Stop Event
iter limit
node limit
iter limit
Counts
20 → 567
Calls
Call 1
Inputs
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 a (*.f64 a a))
(*.f64 a a)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 b b)
(fma.f64 b b #s(literal 12 binary64))
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
(+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(+.f64 #s(literal 4 binary64) (fma.f64 a a (*.f64 a #s(literal -4 binary64))))
(+.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(+.f64 (*.f64 a #s(literal -4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a #s(literal -4 binary64)))
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 a #s(literal -4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))) (*.f64 a a))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))) (*.f64 a a))
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))))
(/.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) #s(literal 64 binary64)) (fma.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a)) #s(literal 16 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) (fma.f64 a a (*.f64 a #s(literal -4 binary64)))) #s(literal 16 binary64)) (-.f64 (fma.f64 a a (*.f64 a #s(literal -4 binary64))) #s(literal 4 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 1 binary64) a))) #s(literal 64 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))))
(+.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64)))
(+.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 (neg.f64 a) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))))
(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(/.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))) (neg.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 a #s(literal -4 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64)) (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal 16 binary64)) (*.f64 (neg.f64 a) #s(literal 16 binary64)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 16 binary64) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -4 binary64) #s(literal -4 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))))
(+.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))))
(+.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b)) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 a a)))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)) (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))))) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))))) #s(literal 1 binary64)) (*.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))))))
(*.f64 (fma.f64 b (*.f64 (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))) (*.f64 b (*.f64 b (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (fma.f64 a #s(literal 4 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64))))
(+.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b)))
(+.f64 (*.f64 a (*.f64 b b)) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 a (*.f64 b b) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 b (*.f64 b a) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 b b) a (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 a (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 a b) b (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 a (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))) (fma.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)

simplify488.0ms (4.3%)

Memory
-9.8MiB live, 895.0MiB allocated
Algorithm
egg-herbie
Rules
18 442×lower-fma.f64
18 442×lower-fma.f32
6 324×lower-+.f64
6 324×lower-+.f32
4 972×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03524507
111454353
235714194
081923831
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(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)
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(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)
12
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2)))))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))) (/ 1 (pow b 4))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* 4 a)
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
4
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(+ 4 (* 2 (pow b 2)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (* 4 (/ 1 (pow b 2)))))
(* 12 (pow b 2))
(+ (* 4 (* a (pow b 2))) (* 12 (pow b 2)))
(+ (* 12 (pow b 2)) (* a (+ (* 4 a) (* 4 (pow b 2)))))
(+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* -4 a))))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 4 (/ (pow b 2) a))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4)))
(* 4 (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(* 4 (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 a) (* 4 (pow b 2))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* -4 a)))))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 4 (/ (pow b 2) a))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)
(* 4 (* (pow b 2) (+ 3 a)))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(* 4 (* (pow b 2) (+ 3 a)))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
12
(+ 12 (* 4 a))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (* a (+ 4 (* 2 a))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
-1
(- (* (pow b 2) (+ 12 (* 4 a))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* 4 (* a (pow b 2)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(* 4 (* a (pow b 2)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.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 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a (fma.f64 a (/.f64 (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(+.f64 (fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) 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 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 12 binary64) (*.f64 (*.f64 b b) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 12 binary64) (*.f64 (*.f64 b b) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 b (+.f64 #s(literal 12 binary64) (*.f64 (*.f64 b b) (fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b))) (neg.f64 (*.f64 b (*.f64 b b))))
(* b (+ 12 (pow b 2)))
(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(* 2 (* (pow a 2) b))
(*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 a a) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (*.f64 #s(literal 2 binary64) b)))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (*.f64 #s(literal 2 binary64) b)))
(* 2 (* (pow a 2) b))
(*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 a b)))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 a a) (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(*.f64 a (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(*.f64 a (*.f64 a (-.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) a))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
(*.f64 a (*.f64 a a))
(pow a 3)
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(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))))
(* 4 (* (pow b 2) (+ 3 a)))
(*.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
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(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))))
(* (pow b 2) (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))))
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(- (* 12 (pow b 2)) 1)
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 a) (* 4 (pow b 2))))) 1)
(fma.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* -4 a)))))) 1)
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(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) a)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 4 (/ (pow b 2) a))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a) #s(literal -4 binary64) #s(literal 4 binary64)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)
(fma.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)
(fma.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* 4 (* (pow b 2) (+ 3 a))) (pow a 4))) 1)
(fma.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(* 4 (* (pow b 2) (+ 3 a)))
(*.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))) #s(literal -1 binary64))
(* 4 (* (pow b 2) (+ 3 a)))
(*.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))) #s(literal -1 binary64))
(* (pow b 2) (- (+ (* 4 (+ 3 a)) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 2))) (/ (pow a 4) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 b b))) #s(literal -1 binary64))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 a (fma.f64 a (neg.f64 a) (/.f64 (*.f64 a a) a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (*.f64 a a) (fma.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (*.f64 a (*.f64 a a)) (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (*.f64 a a) (neg.f64 (+.f64 a (/.f64 a (neg.f64 a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (*.f64 a (*.f64 a (neg.f64 a))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (neg.f64 b) (/.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64)) a)) a)) a)))
(* (pow a 2) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)))
12
#s(literal 12 binary64)
(+ 12 (* 4 a))
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
(+ 12 (* a (+ 4 (* 2 a))))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
(+ 12 (* a (+ 4 (* 2 a))))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))))))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(*.f64 a (*.f64 a (+.f64 (/.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) (*.f64 a a))))))
-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ 12 (* 4 a))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.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 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal 12 binary64) (*.f64 b b)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (/.f64 a (*.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64))
(* 4 (* a (pow b 2)))
(*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* a (- (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)) (/ 1 a)))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* 4 (* a (pow b 2)))
(*.f64 #s(literal 4 binary64) (*.f64 a (*.f64 b b)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a)))))
(*.f64 a (fma.f64 #s(literal 4 binary64) (*.f64 b b) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) a)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))

eval240.0ms (2.1%)

Memory
3.0MiB live, 279.4MiB allocated
Compiler

Compiled 44 573 to 2 582 computations (94.2% saved)

prune117.0ms (1%)

Memory
-1.3MiB live, 275.3MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 064161 080
Fresh426
Picked325
Done000
Total1 071201 091
Accuracy
100.0%
Counts
1 091 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.3%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
82.8%
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
44.0%
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
67.8%
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
50.2%
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
71.0%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
99.9%
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
84.0%
(fma.f64 b (*.f64 (*.f64 a a) (fma.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (*.f64 #s(literal 2 binary64) b))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
75.7%
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
86.4%
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
50.2%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
55.0%
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
55.0%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
47.5%
(pow.f64 a #s(literal 4 binary64))
71.0%
(-.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
65.3%
(*.f64 (*.f64 a a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
47.4%
(*.f64 (*.f64 a a) (*.f64 a a))
44.7%
(*.f64 b (*.f64 b (*.f64 b b)))
47.5%
(*.f64 a (*.f64 a (*.f64 a a)))
24.6%
#s(literal -1 binary64)
Compiler

Compiled 652 to 372 computations (42.9% saved)

simplify364.0ms (3.2%)

Memory
7.8MiB live, 694.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
cost-diff320
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
cost-diff0
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
cost-diff0
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
cost-diff0
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 b (*.f64 b b))
cost-diff0
(*.f64 b (*.f64 b (*.f64 b b)))
cost-diff0
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff128
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
cost-diff12928
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
Rules
18 214×lower-fma.f32
18 188×lower-fma.f64
4 170×lower-+.f64
4 170×lower-+.f32
2 750×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034245
068225
1155216
2386213
31123213
43104213
54399213
67141213
08241208
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
b
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(pow.f64 b #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(literal -1 binary64)
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal -1 binary64)
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
(*.f64 b (*.f64 b b))
#s(literal -144 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))
#s(literal 1 binary64)
(fma.f64 b b #s(literal -12 binary64))
#s(literal -12 binary64)
#s(literal -1 binary64)
Outputs
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
b
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(pow.f64 b #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(neg.f64 a)
#s(literal -1 binary64)
#s(literal -1 binary64)
(*.f64 b (*.f64 b (*.f64 b b)))
b
(*.f64 b (*.f64 b b))
(*.f64 b b)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
b
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))
a
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 12 binary64)
#s(literal -1 binary64)
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))) (/.f64 b (fma.f64 b b #s(literal -12 binary64))) #s(literal -1 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 b b #s(literal -12 binary64)))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
(*.f64 b (*.f64 b b))
#s(literal -144 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))
#s(literal 1 binary64)
(fma.f64 b b #s(literal -12 binary64))
#s(literal -12 binary64)
#s(literal -1 binary64)

localize140.0ms (1.3%)

Memory
-20.0MiB live, 241.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
accuracy99.8%
(*.f64 b (*.f64 b b))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))
accuracy70.9%
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
accuracy100.0%
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
accuracy100.0%
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
accuracy95.5%
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
accuracy95.4%
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy99.8%
(*.f64 b (*.f64 b b))
accuracy100.0%
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy99.9%
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy95.4%
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
Samples
62.0ms229×0valid
10.0ms17×1valid
6.0ms2valid
1.0ms3valid
Compiler

Compiled 289 to 46 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 25.0ms (42.7% of total)
ival-add: 17.0ms (29.1% of total)
ival-pow: 8.0ms (13.7% of total)
adjust: 5.0ms (8.5% of total)
ival-div: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
18 → 288
Calls
Call 1
Inputs
#<alt (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))>
#<alt (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))>
#<alt (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))>
#<alt (fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))>
#<alt (*.f64 b (*.f64 b (*.f64 b b)))>
#<alt (*.f64 b (*.f64 b b))>
#<alt (*.f64 b b)>
#<alt (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))>
#<alt (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))>
#<alt (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))>
#<alt (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))>
#<alt (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))>
#<alt (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))>
#<alt (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))>
#<alt (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))>
#<alt (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))>
Outputs
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* -1 (* (pow b 3) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) (pow (sqrt -1) 2))))>
#<alt (* -1 (* (pow b 3) (+ (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) (pow (sqrt -1) 2))))>
#<alt (+ (* 12 b) (pow b 3))>
#<alt (+ (* 4 (* a b)) (+ (* 12 b) (pow b 3)))>
#<alt (+ (* 12 b) (+ (* a (+ (* 2 (* a b)) (* 4 b))) (pow b 3)))>
#<alt (+ (* 12 b) (+ (* a (+ (* 2 (* a b)) (* 4 b))) (pow b 3)))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (+ (* 12 (/ b (pow a 2))) (/ (pow b 3) (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (+ (* 12 (/ b (pow a 2))) (/ (pow b 3) (pow a 2))))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))) a)) (* 2 b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))) a)) (* 2 b)))>
#<alt 4>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt 4>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* -4 a))>
#<alt (* -4 a)>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* -4 a)>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)>
#<alt (- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* -1 (* (pow b 4) (pow (sqrt -1) 2)))>
#<alt (* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))>
#<alt (- (* b (+ (* 12 b) (pow b 3))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) 1)>
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 12 b) (pow b 3)))) 1)>
#<alt (- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* b (+ (* 12 b) (pow b 3)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)>
#<alt (- (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) 1)>
#<alt (- (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))>
#<alt (* b (+ 12 (pow b 2)))>
#<alt (+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))>
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))>
#<alt (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))>
#<alt (+ 12 (* a (+ 4 (* 2 a))))>
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))>
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))>
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (+ (* 4 a) (pow b 2)))>
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))>
#<alt (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))>
#<alt (* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))>
#<alt 12>
#<alt (+ 12 (* 4 a))>
#<alt (+ 12 (* a (+ 4 (* 2 a))))>
#<alt (+ 12 (* a (+ 4 (* 2 a))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))>
#<alt 12>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt -1>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt -144>
#<alt (- (pow b 4) 144)>
#<alt (- (pow b 4) 144)>
#<alt (- (pow b 4) 144)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* b (+ 12 (* a (+ 4 (* 2 a)))))>
#<alt (* 12 b)>
#<alt (+ (* 4 (* a b)) (* 12 b))>
#<alt (+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))>
#<alt (+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))>
#<alt 4>
#<alt (+ 4 (* 2 a))>
#<alt (+ 4 (* 2 a))>
#<alt (+ 4 (* 2 a))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 4 (/ 1 a))))>
#<alt (* a (+ 2 (* 4 (/ 1 a))))>
#<alt (* a (+ 2 (* 4 (/ 1 a))))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 4 (/ 1 a))))>
#<alt (* a (+ 2 (* 4 (/ 1 a))))>
#<alt (* a (+ 2 (* 4 (/ 1 a))))>
#<alt -1/12>
#<alt (- (* -1/144 (pow b 2)) 1/12)>
#<alt (- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12)>
#<alt (- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12)>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))>
#<alt (/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))>
Calls

72 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(+ (* (pow b 3/2) (pow b 3/2)) (* b (+ (* a (+ (* a 2) 4)) 12)))
0.0ms
b
@inf
(+ (* (* b b) (* (+ (* b (* b (* b b))) -144) (/ 1 (+ (* b b) -12)))) -1)
0.0ms
b
@0
(+ (* (pow b 3/2) (pow b 3/2)) (* b (+ (* a (+ (* a 2) 4)) 12)))
0.0ms
b
@inf
(+ (* (pow b 3/2) (pow b 3/2)) (* b (+ (* a (+ (* a 2) 4)) 12)))
0.0ms
b
@-inf
(+ (* b (+ (* (pow b 3/2) (pow b 3/2)) (* b (+ (* a (+ (* a 2) 4)) 12)))) (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1))

rewrite475.0ms (4.2%)

Memory
-10.1MiB live, 775.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 916×lower-*.f32
4 902×lower-*.f64
4 138×lower-fma.f32
4 112×lower-fma.f64
3 664×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034194
068172
1350157
22535157
08751151
Stop Event
iter limit
node limit
iter limit
Counts
18 → 913
Calls
Call 1
Inputs
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b (*.f64 b b))
(*.f64 b b)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))
Outputs
(+.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (*.f64 b b)))
(+.f64 (*.f64 b (*.f64 b b)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(+.f64 (*.f64 b (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)))) (fma.f64 b #s(literal 12 binary64) (*.f64 b (*.f64 b b))))
(+.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b #s(literal 12 binary64)))
(+.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) b) (*.f64 b #s(literal 12 binary64)))
(+.f64 (fma.f64 b (*.f64 b b) (*.f64 b (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))))) (*.f64 b #s(literal 12 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (/.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(fma.f64 b (*.f64 b b) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) (fma.f64 b #s(literal 12 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b #s(literal 12 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 a (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) b) (fma.f64 b #s(literal 12 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 a b) (fma.f64 b #s(literal 12 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 b b) b (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) b (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) b (fma.f64 b #s(literal 12 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 3/4 binary64)) (pow.f64 b #s(literal 9/4 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) b (*.f64 b #s(literal 12 binary64)))
(fma.f64 (*.f64 b a) (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) (fma.f64 b #s(literal 12 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (*.f64 b (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))) a (fma.f64 b #s(literal 12 binary64) (*.f64 b (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 9/4 binary64)) (pow.f64 b #s(literal 3/4 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(/.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(/.f64 (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (neg.f64 (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (-.f64 (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b (*.f64 b b))))
(/.f64 (*.f64 b (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 b (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) b) (fma.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) b) (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))) (*.f64 (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))))) (*.f64 (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 b (-.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))))
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(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64))) (neg.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64)) (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal 16 binary64)) (*.f64 a #s(literal 8 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)))) (neg.f64 (neg.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 a #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal 16 binary64)) (*.f64 a #s(literal 8 binary64))) (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) #s(literal 64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) #s(literal 8 binary64) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal 16 binary64)) (*.f64 a #s(literal 8 binary64)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 2 binary64) #s(literal -4 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b #s(literal -12 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 b b #s(literal -12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) #s(literal -1728 binary64))) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal -12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) #s(literal -1728 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal -12 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64)))

simplify394.0ms (3.5%)

Memory
12.9MiB live, 560.3MiB allocated
Algorithm
egg-herbie
Rules
15 734×lower-fma.f64
15 734×lower-fma.f32
4 656×lower-+.f64
4 656×lower-+.f32
3 656×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03223468
19663386
228883196
376213192
082272865
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* -1 (* (pow b 3) (pow (sqrt -1) 2)))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) (pow (sqrt -1) 2))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) (pow (sqrt -1) 2))))
(* -1 (* (pow b 3) (+ (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) (pow (sqrt -1) 2))))
(+ (* 12 b) (pow b 3))
(+ (* 4 (* a b)) (+ (* 12 b) (pow b 3)))
(+ (* 12 b) (+ (* a (+ (* 2 (* a b)) (* 4 b))) (pow b 3)))
(+ (* 12 b) (+ (* a (+ (* 2 (* a b)) (* 4 b))) (pow b 3)))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (+ (* 12 (/ b (pow a 2))) (/ (pow b 3) (pow a 2))))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (+ (* 12 (/ b (pow a 2))) (/ (pow b 3) (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (+ (* 12 b) (pow b 3)) a))) a)) (* 2 b)))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(- (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(- (+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* -1 (* (pow b 4) (pow (sqrt -1) 2)))
(* (pow b 4) (+ (* -1 (pow (sqrt -1) 2)) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ (* -1 (pow (sqrt -1) 2)) (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4))))) (/ 1 (pow b 4))))
(- (* b (+ (* 12 b) (pow b 3))) 1)
(- (+ (* 4 (* a (pow b 2))) (* b (+ (* 12 b) (pow b 3)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* b (+ (* 12 b) (pow b 3)))) 1)
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* b (+ (* 12 b) (pow b 3)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(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 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 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)
-1
(- (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))) 1)
(- (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) 1)
(- (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))) (/ 1 (pow b 4))))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(- (+ (* a (+ (* 2 (* a (pow b 2))) (* 4 (pow b 2)))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2)))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a)) (* 2 (pow b 2))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
12
(+ 12 (* 4 a))
(+ 12 (* a (+ 4 (* 2 a))))
(+ 12 (* a (+ 4 (* 2 a))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
12
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
-144
(- (pow b 4) 144)
(- (pow b 4) 144)
(- (pow b 4) 144)
(pow b 4)
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(pow b 4)
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* 12 b)
(+ (* 4 (* a b)) (* 12 b))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(+ (* 12 b) (* a (+ (* 2 (* a b)) (* 4 b))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (* 12 (/ b (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
4
(+ 4 (* 2 a))
(+ 4 (* 2 a))
(+ 4 (* 2 a))
(* 2 a)
(* a (+ 2 (* 4 (/ 1 a))))
(* a (+ 2 (* 4 (/ 1 a))))
(* a (+ 2 (* 4 (/ 1 a))))
(* 2 a)
(* a (+ 2 (* 4 (/ 1 a))))
(* a (+ 2 (* 4 (/ 1 a))))
(* a (+ 2 (* 4 (/ 1 a))))
-1/12
(- (* -1/144 (pow b 2)) 1/12)
(- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12)
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12)
(/ 1 (pow b 2))
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))
Outputs
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64))))
(pow b 3)
(*.f64 b (*.f64 b b))
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(pow a 2)
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#s(literal 4 binary64)
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(pow b 4)
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#s(literal -1 binary64)
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(*.f64 (*.f64 a a) (fma.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) a)) (*.f64 b #s(literal 2 binary64))))
(* 2 (* (pow a 2) b))
(*.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 a (*.f64 a (*.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(*.f64 (*.f64 a a) (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 b #s(literal -4 binary64) (*.f64 (/.f64 b a) #s(literal -12 binary64))) (neg.f64 a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -12 (/ b a)) (* -4 b)) a)) (* 2 b)))
(*.f64 (*.f64 a a) (fma.f64 b #s(literal 2 binary64) (/.f64 (fma.f64 b #s(literal -4 binary64) (*.f64 (/.f64 b a) #s(literal -12 binary64))) (neg.f64 a))))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a (*.f64 a a)) a)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)) (*.f64 (*.f64 a (*.f64 a a)) a))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a (*.f64 a a)) a))))
(pow a 4)
(*.f64 (*.f64 a (*.f64 a a)) a)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a (*.f64 a a)) a))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) a)) a)) (*.f64 (*.f64 a (*.f64 a a)) a))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a (*.f64 a a)) a) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)))
4
#s(literal 4 binary64)
(+ 4 (* 2 a))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 a))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 a))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(* a (+ 2 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(* a (+ 2 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(* a (+ 2 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
(* a (+ 2 (* 4 (/ 1 a))))
(fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64))
-1/12
#s(literal -1/12 binary64)
(- (* -1/144 (pow b 2)) 1/12)
(fma.f64 (*.f64 b b) #s(literal -1/144 binary64) #s(literal -1/12 binary64))
(- (* (pow b 2) (- (* -1/1728 (pow b 2)) 1/144)) 1/12)
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal -1/12 binary64))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/20736 (pow b 2)) 1/1728)) 1/144)) 1/12)
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b #s(literal -1/20736 binary64)) #s(literal -1/1728 binary64)) #s(literal -1/144 binary64)) #s(literal -1/12 binary64))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (*.f64 b b))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) (*.f64 b b))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ 144 (pow b 4)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))))) (*.f64 b b))
(/ (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (* 1728 (/ 1 (pow b 6))) (/ 144 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (/.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))))) (*.f64 b b))

eval205.0ms (1.8%)

Memory
18.4MiB live, 359.1MiB allocated
Compiler

Compiled 85 368 to 3 665 computations (95.7% saved)

prune166.0ms (1.5%)

Memory
-9.0MiB live, 210.8MiB allocated
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New1 25071 257
Fresh4913
Picked325
Done022
Total1 257201 277
Accuracy
100.0%
Counts
1 277 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.3%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))
68.3%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
82.8%
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
20.9%
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
50.2%
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
75.7%
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
86.0%
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
50.2%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
72.0%
(fma.f64 b (*.f64 a (*.f64 a (fma.f64 b #s(literal 2 binary64) (*.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)))))) #s(literal -1 binary64))
71.0%
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
55.0%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
44.8%
(pow.f64 b #s(literal 4 binary64))
47.5%
(pow.f64 a #s(literal 4 binary64))
71.0%
(-.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
44.8%
(*.f64 (*.f64 b b) (*.f64 b b))
65.3%
(*.f64 (*.f64 a a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
47.4%
(*.f64 (*.f64 a a) (*.f64 a a))
44.7%
(*.f64 b (*.f64 b (*.f64 b b)))
47.5%
(*.f64 a (*.f64 a (*.f64 a a)))
24.6%
#s(literal -1 binary64)
Compiler

Compiled 558 to 326 computations (41.6% saved)

simplify321.0ms (2.9%)

Memory
6.9MiB live, 435.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff192
(+.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
cost-diff0
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
cost-diff0
(*.f64 b b)
cost-diff960
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
cost-diff1088
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) (*.f64 b b))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
cost-diff0
(*.f64 a (*.f64 a #s(literal 2 binary64)))
cost-diff0
(fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))
cost-diff0
(*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64)))))
cost-diff0
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
Rules
14 636×lower-fma.f32
14 624×lower-fma.f64
3 166×lower-+.f32
3 160×lower-+.f64
2 954×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033284
062274
1127259
2327252
3967250
43086250
55885250
08289241
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
b
(*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64)))))
(fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
a
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 a a)
a
#s(literal -1 binary64)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b b)
b
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
(*.f64 b (*.f64 b b))
#s(literal -144 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 b b))
#s(literal 1 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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(/.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a a)
(-.f64 #s(literal 1 binary64) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
b
(*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64)))))
(fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
a
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 a a)
a
#s(literal -1 binary64)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 b b)
b
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -145 binary64))
(*.f64 b b)
b
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 b b (/.f64 #s(literal -144 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
(*.f64 b (*.f64 b b))
#s(literal -144 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 b b))
#s(literal 1 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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 b (*.f64 b (+.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
a
(*.f64 b b)
b
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
#s(literal 1 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 #s(literal 4 binary64) (fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a)))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a (-.f64 a (*.f64 a a)))
(*.f64 a a)
(-.f64 #s(literal 1 binary64) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+.f64 #s(literal 3 binary64) a)
(+.f64 a #s(literal 3 binary64))
#s(literal 3 binary64)

localize149.0ms (1.3%)

Memory
-33.9MiB live, 192.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy94.3%
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy86.3%
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy84.4%
(+.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
accuracy99.8%
(*.f64 b (*.f64 b b))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 b b))
accuracy73.9%
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
accuracy70.8%
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
accuracy100.0%
(*.f64 b b)
accuracy99.8%
(*.f64 (*.f64 b b) (*.f64 b b))
accuracy100.0%
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 a #s(literal 2 binary64))
accuracy100.0%
(fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))
accuracy95.5%
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
accuracy95.4%
(*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64)))))
Samples
96.0ms256×0valid
Compiler

Compiled 303 to 39 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 42.0ms (53.5% of total)
ival-add: 27.0ms (34.4% of total)
ival-div: 6.0ms (7.6% of total)
ival-sub: 2.0ms (2.5% of total)
exact: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
20 → 348
Calls
Call 1
Inputs
#<alt (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))>
#<alt (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64)))))>
#<alt (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))>
#<alt (*.f64 a (*.f64 a #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))>
#<alt (*.f64 a a)>
#<alt (*.f64 (*.f64 b b) (*.f64 b b))>
#<alt (*.f64 b b)>
#<alt (fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))>
#<alt (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))>
#<alt (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))>
#<alt (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))>
#<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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))>
#<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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))>
#<alt (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))>
#<alt (*.f64 a #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 b b))>
#<alt (*.f64 b (*.f64 b b))>
#<alt (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))>
Outputs
#<alt -1>
#<alt (- (* 2 (* (pow a 2) (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (- (pow b 4) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)>
#<alt (- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) (pow b 2)))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* b (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (* b (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (* b (+ (* 2 (pow a 2)) (pow b 2)))>
#<alt (pow b 3)>
#<alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 3)>
#<alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))>
#<alt (* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))>
#<alt (pow b 3)>
#<alt (+ (* 2 (* (pow a 2) b)) (pow b 3))>
#<alt (+ (* 2 (* (pow a 2) b)) (pow b 3))>
#<alt (+ (* 2 (* (pow a 2) b)) (pow b 3))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))>
#<alt (* 2 (* (pow a 2) b))>
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))>
#<alt (* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))>
#<alt (* 2 (pow a 2))>
#<alt (+ (* 2 (pow a 2)) (pow b 2))>
#<alt (+ (* 2 (pow a 2)) (pow b 2))>
#<alt (+ (* 2 (pow a 2)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* 2 (pow a 2)) (pow b 2))>
#<alt (+ (* 2 (pow a 2)) (pow b 2))>
#<alt (+ (* 2 (pow a 2)) (pow b 2))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))>
#<alt (* 2 (pow a 2))>
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt (* 2 (pow a 2))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -145>
#<alt (- (pow b 4) 145)>
#<alt (- (pow b 4) 145)>
#<alt (- (pow b 4) 145)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))>
#<alt (/ -144 (pow b 2))>
#<alt (/ (- (pow b 4) 144) (pow b 2))>
#<alt (/ (- (pow b 4) 144) (pow b 2))>
#<alt (/ (- (pow b 4) 144) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt -144>
#<alt (- (pow b 4) 144)>
#<alt (- (pow b 4) 144)>
#<alt (- (pow b 4) 144)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))>
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 12 (pow b 2)) (pow b 4))>
#<alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))>
#<alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))>
#<alt (* -1 (pow a 3))>
#<alt (* (pow a 3) (- (/ 1 a) 1))>
#<alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))>
#<alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* -1 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))>
#<alt (* (pow a 2) (- 1 a))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<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)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<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))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<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))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<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)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<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))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<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))>
Calls

87 calls:

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

rewrite397.0ms (3.5%)

Memory
-4.1MiB live, 378.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 026×lower-*.f32
5 004×lower-*.f64
3 816×lower-/.f32
3 810×lower-/.f64
3 698×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033222
062208
1276195
22326173
08592166
Stop Event
iter limit
node limit
iter limit
Counts
20 → 901
Calls
Call 1
Inputs
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64)))))
(fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))
(*.f64 a (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b b)
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(+.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(-.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 a #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 b (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))))
(fma.f64 b (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) b #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))) (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))) (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))))))
(/.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)))) (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64)) (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 b (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b))) (*.f64 b (*.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (*.f64 a #s(literal 2 binary64)) (*.f64 b b)) (*.f64 b b) #s(literal 1 binary64))))
(+.f64 (*.f64 b (*.f64 b b)) (*.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(+.f64 (*.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 a (*.f64 a #s(literal 2 binary64))) (*.f64 b (*.f64 b b)))
(fma.f64 b (*.f64 b b) (*.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(fma.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b) (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a b) (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 a (*.f64 a #s(literal 2 binary64))) b (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) b) (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 b b) b (*.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(fma.f64 (*.f64 b (*.f64 b b)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (/.f64 b #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 a #s(literal 2 binary64)) b)))
(fma.f64 (*.f64 b a) (*.f64 a #s(literal 2 binary64)) (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 b (*.f64 a #s(literal 2 binary64))) a (*.f64 b (*.f64 b b)))
(fma.f64 (*.f64 b (*.f64 a a)) #s(literal 2 binary64) (*.f64 b (*.f64 b b)))
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(pow.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 b (neg.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) 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 (*.f64 b (*.f64 b b)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 (/.f64 b #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))
(+.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 b (*.f64 b a) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))
(fma.f64 a (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) a (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 a (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 a b) b (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 a (*.f64 b b)))
(/.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a)))) (fma.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64)))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.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) (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (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 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.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)))

simplify426.0ms (3.8%)

Memory
18.3MiB live, 529.0MiB allocated
Algorithm
egg-herbie
Rules
17 706×lower-fma.f64
17 706×lower-fma.f32
4 416×lower-*.f64
4 416×lower-*.f32
4 322×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02994084
18884014
226373942
379733942
085803730
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
-1
(- (* 2 (* (pow a 2) (pow b 2))) 1)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) 1)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) 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)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (/ 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)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (/ 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 b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) b))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(pow b 3)
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(pow b 3)
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* 2 (pow a 2))
(+ (* 2 (pow a 2)) (pow b 2))
(+ (* 2 (pow a 2)) (pow b 2))
(+ (* 2 (pow a 2)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(pow b 2)
(+ (* 2 (pow a 2)) (pow b 2))
(+ (* 2 (pow a 2)) (pow b 2))
(+ (* 2 (pow a 2)) (pow b 2))
(* 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 2) (+ 2 (/ (pow b 2) (pow a 2))))
(* 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 2) (+ 2 (/ (pow b 2) (pow a 2))))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
(* 2 (pow a 2))
-1
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (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)
(pow a 2)
(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 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)
-145
(- (pow b 4) 145)
(- (pow b 4) 145)
(- (pow b 4) 145)
(pow b 4)
(* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))
(pow b 4)
(* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 145 (/ 1 (pow b 4)))))
(/ -144 (pow b 2))
(/ (- (pow b 4) 144) (pow b 2))
(/ (- (pow b 4) 144) (pow b 2))
(/ (- (pow b 4) 144) (pow b 2))
(pow b 2)
(* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))
(pow b 2)
(* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 2) (- 1 (* 144 (/ 1 (pow b 4)))))
-144
(- (pow b 4) 144)
(- (pow b 4) 144)
(- (pow b 4) 144)
(pow b 4)
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(pow b 4)
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 1 (pow b 4)))))
(* (pow b 4) (- 1 (* 144 (/ 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)))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(/ 1 (pow b 2))
(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 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (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
-1
#s(literal -1 binary64)
(- (* 2 (* (pow a 2) (pow b 2))) 1)
(fma.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal -1 binary64))
(- (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) 1)
(fma.f64 b (*.f64 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))) 1)
(fma.f64 b (*.f64 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)))) (/ 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)) #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)))) (/ 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)) #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)))) (/ 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)) #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)))) (/ 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)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b (*.f64 b (*.f64 b b))))))
(- (pow b 4) 1)
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(fma.f64 b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) #s(literal -1 binary64))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))) (/ 1 (pow a 2))))
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* 2 (* (pow a 2) b))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) b))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))
(pow b 3)
(*.f64 b (*.f64 b b))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b b) (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(pow b 3)
(*.f64 b (*.f64 b b))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(*.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(*.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(*.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal -1 binary64)) (neg.f64 (*.f64 b (*.f64 b b))))
(pow b 3)
(*.f64 b (*.f64 b b))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))
(* 2 (* (pow a 2) b))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* 2 (* (pow a 2) b))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 a a) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (*.f64 a a) (*.f64 b (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 b (*.f64 b (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(pow b 2)
(*.f64 b b)
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(*.f64 a (*.f64 a (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 2 binary64))))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
(* 2 (pow a 2))
(*.f64 #s(literal 2 binary64) (*.f64 a a))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow a 2)) 1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(*.f64 a (*.f64 a (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (*.f64 a a)))))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(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)
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(/ (+ 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 (fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (*.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 (fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.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 (fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (*.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 (fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 1 binary64)) (/.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))

eval201.0ms (1.8%)

Memory
9.4MiB live, 312.9MiB allocated
Compiler

Compiled 86 093 to 4 233 computations (95.1% saved)

prune156.0ms (1.4%)

Memory
1.5MiB live, 228.3MiB allocated
Pruning

20 alts after pruning (14 fresh and 6 done)

PrunedKeptTotal
New1 49841 502
Fresh11011
Picked325
Done044
Total1 502201 522
Accuracy
100.0%
Counts
1 522 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
68.3%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
82.8%
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
50.2%
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
75.7%
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
86.0%
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
50.2%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
72.0%
(fma.f64 b (*.f64 a (*.f64 a (fma.f64 b #s(literal 2 binary64) (*.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)))))) #s(literal -1 binary64))
71.0%
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
44.8%
(pow.f64 b #s(literal 4 binary64))
47.5%
(pow.f64 a #s(literal 4 binary64))
99.4%
(-.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 (*.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64))
19.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b b))
44.8%
(*.f64 (*.f64 b b) (*.f64 b b))
65.3%
(*.f64 (*.f64 a a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
47.4%
(*.f64 (*.f64 a a) (*.f64 a a))
31.9%
(*.f64 (*.f64 a a) #s(literal 4 binary64))
44.7%
(*.f64 b (*.f64 b (*.f64 b b)))
47.5%
(*.f64 a (*.f64 a (*.f64 a a)))
24.6%
#s(literal -1 binary64)
Compiler

Compiled 992 to 310 computations (68.8% saved)

regimes53.0ms (0.5%)

Memory
-13.4MiB live, 65.2MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b b))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 b (*.f64 a (*.f64 a (fma.f64 b #s(literal 2 binary64) (*.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)))))) #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 (*.f64 b b) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 a a) (+.f64 (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 a a))))
(fma.f64 b (*.f64 (*.f64 a a) (fma.f64 (/.f64 b a) (+.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (*.f64 #s(literal 2 binary64) b))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
(pow.f64 b #s(literal 4 binary64))
(fma.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)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (fma.f64 #s(literal 4 binary64) (fma.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (*.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)))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 b (fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
Calls

5 calls:

11.0ms
b
11.0ms
(*.f64 b b)
10.0ms
a
10.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.9%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes37.0ms (0.3%)

Memory
-4.5MiB live, 34.7MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b b))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (*.f64 b (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 b (*.f64 b (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -144 binary64)))) #s(literal -1 binary64))
Outputs
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

5 calls:

8.0ms
b
8.0ms
a
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
7.0ms
(*.f64 b b)
6.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.5%3a
99.7%2b
99.5%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.5%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.7%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes13.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 b (*.f64 b (*.f64 b b)))) (*.f64 b b))
Outputs
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

6.0ms
b
6.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.6%2b
99.6%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes23.0ms (0.2%)

Memory
-19.8MiB live, 21.6MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a (-.f64 a (*.f64 a a))) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 12 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
Calls

4 calls:

7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
6.0ms
b
5.0ms
(*.f64 b b)
5.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
88.4%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
88.4%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
98.4%2b
98.4%2(*.f64 b b)
Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes14.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
Outputs
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 b b) (*.f64 b b))
Calls

3 calls:

4.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.5%3a
94.7%2b
94.7%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes12.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

3 calls:

4.0ms
b
4.0ms
a
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.1%3a
84.3%3b
84.3%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
94.7%3a
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b b) (*.f64 b b))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

3 calls:

3.0ms
a
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
78.1%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
78.1%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
84.9%3a
Compiler

Compiled 63 to 37 computations (41.3% saved)

regimes41.0ms (0.4%)

Memory
-30.8MiB live, 8.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
Calls

5 calls:

32.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
62.1%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
62.1%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
72.8%2b
72.8%2(*.f64 b b)
72.8%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes9.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
Outputs
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
Calls

5 calls:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
b
2.0ms
a
2.0ms
(*.f64 b b)
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
55.0%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
55.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
55.0%1a
55.0%1b
55.0%1(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes8.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
Outputs
#s(literal -1 binary64)
(*.f64 (*.f64 a a) #s(literal 4 binary64))
Calls

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
55.1%3a
55.3%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
55.3%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
43.0%2b
43.0%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes6.0ms (0.1%)

Memory
6.9MiB live, 6.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
24.6%1b
24.6%1(*.f64 b b)
24.6%1a
24.6%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
24.6%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.8117419608849306e-11
6.75393423253519e-8
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.8117419608849306e-11
6.75393423253519e-8
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
344357312671558.56
8695264399368306000.0
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4603668790538982e+40
1.5964476697901199e+40
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch24.0ms (0.2%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
5.912781592690141e+47
1.9069067579723177e+48
11.0ms
-703867.334723942
-81443.3110349511
Samples
15.0ms176×0valid
Compiler

Compiled 276 to 176 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (46.1% of total)
ival-add: 3.0ms (27.7% of total)
ival-pow2: 2.0ms (18.5% of total)
ival-sub: 1.0ms (9.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
5.912781592690141e+47
1.9069067579723177e+48
0.0ms
-703867.334723942
-81443.3110349511
Compiler

Compiled 265 to 154 computations (41.9% saved)

bsearch47.0ms (0.4%)

Memory
-33.5MiB live, 6.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
41.0ms
5.912781592690141e+47
1.9069067579723177e+48
4.0ms
-703867.334723942
-81443.3110349511
Samples
42.0ms96×0valid
Compiler

Compiled 243 to 165 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-add: 35.0ms (88% of total)
ival-mult: 3.0ms (7.5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-pow2: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.2862138646699254e+283
1.547650446809659e+285
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.974090353095693e-10
33644449.32154878
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify9.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
14×+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082320
1106320
2109320
3110320
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 b b) #s(literal 500000000000000 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 15000000000000001060141952447820087689216 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))
(if (<=.f64 a #s(literal -700000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 1099999999999999967100788934977135394308447272960 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -700000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 1099999999999999967100788934977135394308447272960 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -550000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 600000000000000026307505827045718412780428591104 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
#s(literal -1 binary64)
Outputs
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 b b) #s(literal 500000000000000 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b (*.f64 a (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 15000000000000001060141952447820087689216 binary64)) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 b b) (*.f64 b b)))
(if (<=.f64 a #s(literal -700000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 1099999999999999967100788934977135394308447272960 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -700000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 1099999999999999967100788934977135394308447272960 binary64)) (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 a #s(literal -550000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 600000000000000026307505827045718412780428591104 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 50000000000000003960719125422883827062840959584985546704194967116721787948758551386272267278602882264876081416647209031203419106557526049419390978660438178426771560410745940876447333535260291112887354734608898565252528592034690824272687386622186778733613155375371021108230826846322688 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a a) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))))) #s(literal 4835703278458517/4835703278458516698824704 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
#s(literal -1 binary64)

soundness1.5s (13.3%)

Memory
-1.3MiB live, 79.0MiB allocated
Rules
19 992×lower-fma.f64
19 992×lower-fma.f32
18 442×lower-fma.f64
18 442×lower-fma.f32
17 706×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03223468
19663386
228883196
376213192
082272865
037225
076217
1400211
23689211
08969202
02994084
18884014
226373942
379733942
085803730
034194
068172
1350157
22535157
08751151
03524507
111454353
235714194
081923831
01912222
15992169
218452105
357612012
084751830
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 805 to 334 computations (58.5% saved)

preprocess72.0ms (0.6%)

Memory
1.0MiB live, 113.2MiB allocated
Remove

(abs b)

Compiler

Compiled 764 to 232 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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