Bouland and Aaronson, Equation (24)

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 (15.4%)

Memory
29.3MiB live, 1 336.9MiB allocated
Samples
866.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 667.0ms
ival-mult: 284.0ms (42.6% of total)
ival-add: 190.0ms (28.5% of total)
ival-sub: 86.0ms (12.9% of total)
ival-pow2: 85.0ms (12.8% of total)
exact: 11.0ms (1.7% of total)
ival-true: 7.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain383.0ms (4.7%)

Memory
-5.7MiB live, 239.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
440-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
440-0-(+.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)))))
210-1(-2.343632709764736e+249 -5.2782494987578534e-160)(*.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-rescue440
(*.f64 b b)overflow64
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow156
(*.f64 a a)overflow72
(+.f64 (*.f64 a a) (*.f64 b b))overflow117
(*.f64 b b)overflow64
(*.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))))overflow132
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow132
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow83
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow93
(*.f64 a a)overflow72
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue440
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow93
(*.f64 a a)overflow72
(*.f64 b b)overflow64
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow83
Confusion
Predicted +Predicted -
+660
-0190
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-00190
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0190
144
222
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
153.0ms512×0valid
Compiler

Compiled 305 to 58 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 34.0ms (56.7% of total)
ival-add: 10.0ms (16.7% of total)
ival-pow2: 10.0ms (16.7% of total)
ival-sub: 5.0ms (8.3% of total)
ival-true: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess252.0ms (3.1%)

Memory
1.9MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044149
1154147
2661145
32961145
46959145
01829
03029
16329
217829
356629
4158229
5293629
6690129
0819426
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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
Symmetry

(abs b)

Compiler

Compiled 29 to 18 computations (37.9% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(-.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))
Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify312.0ms (3.9%)

Memory
-8.5MiB live, 159.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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-diff1
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff1
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff1
(+.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)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018136
030136
163136
2178136
3566136
41582136
52936136
66901136
08194126
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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(*.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 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize39.0ms (0.5%)

Memory
18.3MiB live, 18.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.12890625
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy4.662088952771031
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy8.769531250000002
(+.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)))))
accuracy9.894485838264533
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
Samples
28.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (44.5% of total)
ival-add: 5.0ms (27.8% of total)
ival-pow2: 3.0ms (16.7% of total)
ival-sub: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-33.5MiB live, 5.5MiB allocated
Counts
6 → 55
Calls
Call 1
Inputs
(+.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 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 (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 b b) (+.f64 #s(literal 3 binary64) a))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(+ (* 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 b 2)
(+ (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))))
(- (+ (* 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 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 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 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 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))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (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 (* -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))))
(* -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)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(+ (* 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)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 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)
(* (pow b 2) (+ 3 a))
(+ (* 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) (+ 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 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 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)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
a
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
2.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
2.0ms
b
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
2.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
1.0ms
a
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))

simplify185.0ms (2.3%)

Memory
42.3MiB live, 114.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191980
1599947
21876917
35825884
08215794
Stop Event
iter limit
node limit
Counts
55 → 55
Calls
Call 1
Inputs
(+ (* 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 b 2)
(+ (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))))
(- (+ (* 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 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 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 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 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))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (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 (* -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))))
(* -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)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(+ (* 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)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 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)
(* (pow b 2) (+ 3 a))
(+ (* 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) (+ 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 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 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)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Outputs
(+ (* 12 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(* 3 (pow b 2))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (fma.f64 (neg.f64 a) a a) a))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)))) a (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.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.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.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)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 2) (- 1 a))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (fma.f64 (neg.f64 a) a a) a))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (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)))))))
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(* (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))))
(-.f64 (fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))

rewrite271.0ms (3.4%)

Memory
-8.0MiB live, 229.4MiB allocated
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
(+.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 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 (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 b b) (+.f64 #s(literal 3 binary64) a))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 2 binary64)) #s(literal 16 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 2 binary64)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))

eval103.0ms (1.3%)

Memory
9.9MiB live, 128.5MiB allocated
Compiler

Compiled 40 988 to 2 676 computations (93.5% saved)

prune17.0ms (0.2%)

Memory
5.5MiB live, 42.5MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New58310593
Fresh000
Picked101
Done000
Total58410594
Accuracy
100.0%
Counts
594 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
82.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
71.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
70.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
70.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
92.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
70.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)))
77.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
71.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
Compiler

Compiled 890 to 546 computations (38.7% saved)

simplify250.0ms (3.1%)

Memory
-23.9MiB live, 302.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
cost-diff2
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
cost-diff2
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
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
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 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
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
cost-diff2
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040492
063492
1144492
2383492
31067481
43368481
55045481
08501452
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
b
(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)
(*.f64 b b)
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 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)
(*.f64 b b)
b
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 12 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 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 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)))
b
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #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)
(*.f64 b b)
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.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 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #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)
(*.f64 b b)
b
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 b b)
b
#s(literal 12 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize122.0ms (1.5%)

Memory
9.3MiB live, 129.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.061747480164287515
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy22.486960305152717
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy0.01953125
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
accuracy0.046875
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
accuracy4.011718750000001
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
accuracy9.627711685957678
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
accuracy0.0
(*.f64 a a)
accuracy0.01953125
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
accuracy0.046875
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
accuracy18.967846287688616
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
accuracy0.0
(fma.f64 b b #s(literal 12 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.08984375
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy18.50599124235509
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
accuracy0.00390625
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
accuracy0.01953125
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
accuracy0.046875
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
accuracy4.031250000000001
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
Samples
98.0ms256×0valid
Compiler

Compiled 432 to 41 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 35.0ms (45.2% of total)
ival-add: 33.0ms (42.6% of total)
ival-sub: 3.0ms (3.9% of total)
ival-pow2: 3.0ms (3.9% of total)
ival-pow: 3.0ms (3.9% of total)
exact: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-14.0MiB live, 23.6MiB allocated
Counts
17 → 72
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(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))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
Outputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 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 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)
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 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 2)
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
12
(+ 12 (* 4 a))
(+ 12 (* a (+ 4 (* 2 a))))
(+ (* 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 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(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))))
(* 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 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 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) 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 a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) 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 (* (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)
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 2)
(+ (* 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)))
(* 12 (pow b 2))
(* (pow b 2) (+ 12 (pow b 2)))
(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 (+ (* 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 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 2)))) (/ 1 (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)))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)))
3.0ms
b
@inf
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)))
2.0ms
a
@0
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)))
2.0ms
b
@0
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)))
2.0ms
b
@-inf
((+ (* (- 1 a) 4) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* b b) (+ (* a (+ (* 2 a) 4)) 12)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* b b) (+ (* b b) 12)) -1) (* b b) (+ (* b b) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* a (+ (* 2 a) 4)) 12) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* b b) 12) (pow b 4)))

simplify200.0ms (2.5%)

Memory
5.7MiB live, 238.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02221290
16901235
221701168
082831025
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 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 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)
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 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 2)
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
12
(+ 12 (* 4 a))
(+ 12 (* a (+ 4 (* 2 a))))
(+ (* 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 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(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))))
(* 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 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 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) 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 a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) 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 (* (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)
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(pow b 2)
(+ (* 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)))
(* 12 (pow b 2))
(* (pow b 2) (+ 12 (pow b 2)))
(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 (+ (* 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 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 2)))) (/ 1 (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)))))))
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 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #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 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 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 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (+ (* 4 a) (pow b 2)))
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #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 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(pow a 2)
(*.f64 a a)
(- (* 12 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))
(+ (* 12 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) a a) a)
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) a a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.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 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64)))
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) a)
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 b a) a) b (/.f64 #s(literal 4 binary64) a))) (*.f64 a a))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) a)) (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) a a) a)
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.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.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)) a) a)
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(* 12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(* (pow b 2) (+ 12 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (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))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 12 binary64))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) b) b) a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(* (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)))))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)))

rewrite291.0ms (3.6%)

Memory
-8.7MiB live, 277.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040383
063383
1349383
23135383
08844359
Stop Event
iter limit
node limit
iter limit
Counts
17 → 508
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(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))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))))
(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a)) (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) a) a))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 a a (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 a) a))))
(+.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b) (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) b) b)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (pow.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 b (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
(pow.f64 (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 b b)) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 b b)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
(/.f64 (*.f64 (*.f64 b b) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64))) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64)))) (neg.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))))
(/.f64 (fma.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (+.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 (fma.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64))) (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b))) (-.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 12 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64)))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 b (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(fma.f64 b (*.f64 #s(literal 12 binary64) b) (pow.f64 b #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 12 binary64) (*.f64 b b)))))
(+.f64 (*.f64 (*.f64 b b) #s(literal 12 binary64)) (pow.f64 b #s(literal 4 binary64)))
(+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))

eval110.0ms (1.4%)

Memory
23.0MiB live, 215.5MiB allocated
Compiler

Compiled 64 458 to 2 842 computations (95.6% saved)

prune39.0ms (0.5%)

Memory
-27.4MiB live, 96.1MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New78716803
Fresh505
Picked505
Done000
Total79716813
Accuracy
100.0%
Counts
813 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
84.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
70.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
50.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
92.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
99.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
77.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
71.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
45.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
53.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
47.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
50.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))))
24.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 564 to 916 computations (41.4% saved)

simplify188.0ms (2.3%)

Memory
17.6MiB live, 185.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 a #s(literal 4 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
(fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64)))
cost-diff0
(fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
cost-diff2
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
cost-diff0
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057531
086529
1169529
2402513
31092513
43052513
54411513
08049491
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64)))
b
#s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))
#s(literal 12 binary64)
(*.f64 b b)
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) b) b #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64)))
b
#s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))
#s(literal 12 binary64)
(*.f64 b b)
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(*.f64 a a)
a
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)

localize130.0ms (1.6%)

Memory
-23.7MiB live, 178.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 a #s(literal 4 binary64))
accuracy33.873352609875504
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
accuracy0.01953125
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
accuracy0.046875
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
accuracy4.031250000000001
(fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
accuracy30.863571304911304
#s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))
accuracy0.0
(*.f64 a a)
accuracy0.046875
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy18.967846287688616
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
accuracy30.293802089545274
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
accuracy18.967846287688616
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
accuracy31.57211496465721
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))
accuracy0.0390625
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
accuracy0.04296875
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
accuracy0.0625
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
accuracy4.104430305283521
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
Samples
72.0ms243×0valid
9.0ms1valid
3.0ms2valid
Compiler

Compiled 428 to 48 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 31.0ms (49.1% of total)
ival-add: 18.0ms (28.5% of total)
ival-sub: 4.0ms (6.3% of total)
ival-pow: 4.0ms (6.3% of total)
ival-pow2: 3.0ms (4.7% of total)
adjust: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
20 → 91
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
#s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
Outputs
(- (+ (* 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)
(+ (* 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 b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (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 2)
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 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)
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
12
(+ 12 (* 4 a))
(+ 12 (* a (+ 4 (* 2 a))))
(* (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))))
(* 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 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 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* 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 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (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 a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(- (+ (* 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 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)))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 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)))))))
(* (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 (* a (- a 4)))) (pow b 4))))))
(pow b 3)
(* (pow b 3) (+ 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 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
Calls

6 calls:

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

simplify181.0ms (2.2%)

Memory
15.9MiB live, 172.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621581
18341496
226211460
374011459
080191293
Stop Event
iter limit
node limit
Counts
91 → 91
Calls
Call 1
Inputs
(- (+ (* 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)
(+ (* 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 b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (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 2)
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 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)
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
12
(+ 12 (* 4 a))
(+ 12 (* a (+ 4 (* 2 a))))
(* (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))))
(* 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 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 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* 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 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(* (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 a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(- (+ (* 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 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)))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 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)))))))
(* (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 (* a (- a 4)))) (pow b 4))))))
(pow b 3)
(* (pow b 3) (+ 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 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (* 12 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(* (pow b 2) (+ 12 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(* b (+ 12 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #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 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(pow a 2)
(*.f64 a a)
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 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64))
(- (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2)))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 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)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (+ (* 4 a) (pow b 2)))
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* -4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (* a (- a 4))))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* -4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)
(* a (+ 4 (* a (- a 4))))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) 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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64))) (*.f64 a a))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 4 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) a) a a) a)
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a)
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) a)
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) a)) (*.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (/ 12 (pow a 2)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) a)) (*.f64 a a))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.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.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) (neg.f64 a))) a) a)
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) a a) a)
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) a)) a) a)
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (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))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (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)))))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4))))))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 12 binary64) (*.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 (- 1 a)) (pow a 2))) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (pow.f64 b #s(literal 4 binary64))) a (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (-.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (/.f64 #s(literal 12 binary64) (*.f64 b b))) b b) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)))

rewrite273.0ms (3.4%)

Memory
-25.3MiB live, 256.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057472
086472
1405472
23425472
08577444
Stop Event
iter limit
node limit
iter limit
Counts
20 → 302
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 a a)
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
#s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64) #s(literal -1 binary64))
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(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 (neg.f64 a) a)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (*.f64 a a) (-.f64 (*.f64 a a) (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) #s(literal 2 binary64))))
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(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a))
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(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))
(fma.f64 a a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 (neg.f64 a) a))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)))
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(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) b) b) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (pow.f64 a #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 a))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)))
(*.f64 a (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64))) (*.f64 a a)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(*.f64 a (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64))) a) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64)))
(/.f64 (*.f64 a (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64))))
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)))
(fma.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a) (*.f64 #s(literal 4 binary64) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)))
(+.f64 (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)))
#s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (-.f64 #s(literal 1 binary64) a) a) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #s(literal 4 binary64) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a)) (pow.f64 a #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a) (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a))

eval58.0ms (0.7%)

Memory
25.1MiB live, 103.5MiB allocated
Compiler

Compiled 35 301 to 1 691 computations (95.2% saved)

prune25.0ms (0.3%)

Memory
-16.0MiB live, 57.9MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New3985403
Fresh2911
Picked145
Done000
Total40118419
Accuracy
100.0%
Counts
419 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
78.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
99.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
87.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) (neg.f64 a))) a) a)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
74.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
70.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
50.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
92.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
71.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
45.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
53.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
47.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
47.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
50.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))))
24.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 675 to 981 computations (41.4% saved)

simplify149.0ms (1.8%)

Memory
17.7MiB live, 213.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
cost-diff1
(fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))
cost-diff6
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
cost-diff0
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
cost-diff0
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff4
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
cost-diff0
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
cost-diff0
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064815
093815
1190811
2465795
31209795
43451795
55324775
08119717
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 b b)
b
#s(literal 12 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))
(/.f64 b a)
b
a
(-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64))
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(*.f64 a a)
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
#s(literal 12 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (*.f64 a a) (*.f64 a a))
(pow.f64 a #s(literal 4 binary64))
(*.f64 a a)
a
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)))
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64))))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) a) #s(literal -2 binary64)) b)
(/.f64 b a)
b
a
(-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64))
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(*.f64 a a)
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)

localize176.0ms (2.2%)

Memory
-38.1MiB live, 252.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
accuracy0.08203125
(fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))
accuracy4.299284476104324
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
accuracy21.072786538024804
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
accuracy0.0
(-.f64 a #s(literal 4 binary64))
accuracy0.0390625
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
accuracy0.04296875
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
accuracy25.307851206474897
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
accuracy0.0
(*.f64 a a)
accuracy0.10384750976844201
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy33.873352609875504
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0.0
(*.f64 b b)
accuracy0.06640625
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
accuracy9.627711685957678
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
accuracy23.193024742263585
#s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))
accuracy0.04296875
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
accuracy0.0625
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
accuracy0.15234375
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
accuracy19.13458419981255
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
Samples
98.0ms227×0valid
27.0ms13×1valid
8.0ms2valid
6.0ms3valid
3.0ms4valid
Compiler

Compiled 554 to 55 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-mult: 58.0ms (50.8% of total)
adjust: 24.0ms (21% of total)
ival-add: 19.0ms (16.6% of total)
ival-sub: 5.0ms (4.4% of total)
ival-div: 4.0ms (3.5% of total)
ival-pow2: 3.0ms (2.6% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
7.2MiB live, 46.6MiB allocated
Counts
23 → 98
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 b b)
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(-.f64 a #s(literal 4 binary64))
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
Outputs
(- (+ (* 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)
(+ (* 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 b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(pow a 2)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
(/ (* b (+ 12 (pow b 2))) (pow a 2))
(/ (+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) (pow a 2))
-4
(- a 4)
(/ (+ 12 (pow b 2)) a)
(* (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))))
(* 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 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* 2 b)
(+ (* 2 b) (* 4 (/ b a)))
(+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))
a
(* a (- 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 a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(- (+ (* 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 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)))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
-1
(pow b 2)
(* (pow a 2) (* b (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))))
(* b (+ (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))) (pow b 2)))
(* b (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2))))))
(* b (+ 2 (+ (* 4 (/ 1 a)) (+ (* 12 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))))
(* 12 b)
(/ 12 a)
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(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)))))))
(* (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 (* a (- a 4)))) (pow b 4))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 2)))) (/ 1 (pow b 2))))
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))) (pow b 2))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (+ (/ 4 (* a (pow b 2))) (/ 12 (* (pow a 2) (pow b 2)))))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2))))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* (* b b) 12) -1) (* b b) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (* (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (* a a)) (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* b b) 12) b) (- a 4) (/ (+ (* b b) 12) a) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)))
4.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* (* b b) 12) -1) (* b b) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (* (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (* a a)) (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* b b) 12) b) (- a 4) (/ (+ (* b b) 12) a) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)))
4.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* (* b b) 12) -1) (* b b) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (* (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (* a a)) (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* b b) 12) b) (- a 4) (/ (+ (* b b) 12) a) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)))
3.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* (* b b) 12) -1) (* b b) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (* (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (* a a)) (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* b b) 12) b) (- a 4) (/ (+ (* b b) 12) a) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)))
3.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)) (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (+ (* (* b b) 12) -1) (* b b) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* (- a 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (* (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (* a a)) (+ (* (/ b a) (- (/ (+ (* b b) 12) a) -4)) (* 2 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* b b) 12) b) (- a 4) (/ (+ (* b b) 12) a) (+ (* (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) b) (* (* (+ (* (- a 4) a) 4) a) a)))

simplify185.0ms (2.3%)

Memory
30.1MiB live, 184.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02781660
18751572
228301529
378661529
080071376
Stop Event
iter limit
node limit
Counts
98 → 97
Calls
Call 1
Inputs
(- (+ (* 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)
(+ (* 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 b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(- (* 12 (pow b 2)) 1)
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(pow a 4)
(pow a 2)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
(/ (* b (+ 12 (pow b 2))) (pow a 2))
(/ (+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) (pow a 2))
(/ (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) (pow a 2))
-4
(- a 4)
(/ (+ 12 (pow b 2)) a)
(* (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))))
(* 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 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* 2 b)
(+ (* 2 b) (* 4 (/ b a)))
(+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))
a
(* a (- 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 a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(- (+ (* 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 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)))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
-1
(pow b 2)
(* (pow a 2) (* b (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))))
(* b (+ (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))) (pow b 2)))
(* b (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2))))))
(* b (+ 2 (+ (* 4 (/ 1 a)) (+ (* 12 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))))
(* 12 b)
(/ 12 a)
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(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)))))))
(* (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 (* a (- a 4)))) (pow b 4))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 2)))) (/ 1 (pow b 2))))
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 3) (+ 1 (/ (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))) (pow b 2))))
(/ (pow b 3) (pow a 2))
(* (pow b 3) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (+ (/ 4 (* a (pow b 2))) (/ 12 (* (pow a 2) (pow b 2)))))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2))))) 2)) (pow b 2)) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (* 12 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(* (pow b 2) (+ 12 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(* b (+ 12 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(+ (* 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(- (* 12 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (* 12 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ (* 12 (pow b 2)) (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2)))))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* -4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (* a (- a 4))))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* -4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)
(* a (+ 4 (* a (- a 4))))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(/ (* b (+ 12 (pow b 2))) (pow a 2))
(*.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) a) b)
(/ (+ (* 4 (* a b)) (* b (+ 12 (pow b 2)))) (pow a 2))
(*.f64 (/.f64 b a) (/.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) a))
(/ (+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2)))) (pow a 2))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) a) (/.f64 b a))
-4
#s(literal -4 binary64)
(- a 4)
(-.f64 a #s(literal 4 binary64))
(/ (+ 12 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 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 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64))) (*.f64 a a))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(*.f64 (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)) (*.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)) (pow.f64 a #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* (pow a 3) (- (+ 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)) (pow.f64 a #s(literal 3 binary64)))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* 2 b) (* 4 (/ b a)))
(*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)))
(+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2))))
(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))
a
(* a (- 1 (* 4 (/ 1 a))))
(fma.f64 (/.f64 #s(literal -4 binary64) a) a a)
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.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.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) (neg.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)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 3 binary64)))
(+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b))
(fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) (neg.f64 a)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(fma.f64 (/.f64 #s(literal -4 binary64) a) a a)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a))))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(* b (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(- (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) 1)
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) (*.f64 a a) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(pow b 2)
(*.f64 b b)
(* (pow a 2) (* b (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))))
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) a)) b) (*.f64 a a))
(* b (+ (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))) (pow b 2)))
(fma.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) a)) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))
(* b (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) a)) b)
(* b (+ 2 (+ (* 4 (/ 1 a)) (+ (* 12 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2))))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) a))) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(/ 12 a)
(/.f64 #s(literal 12 binary64) a)
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(fma.f64 (/.f64 b a) b (/.f64 #s(literal 12 binary64) a))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (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))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (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)))))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (+ (/ (* a (+ 4 (* 2 a))) (pow b 2)) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4))))))
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)
(* (pow b 2) (- (+ 12 (+ (* a (+ 4 (* 2 a))) (/ (* (pow a 2) (+ (* 4 (- 1 a)) (pow a 2))) (pow b 2)))) (/ 1 (pow b 2))))
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) b) b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))) (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (*.f64 b b))
(* 12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(*.f64 (*.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b) b)
(* (pow b 3) (+ 1 (/ (* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))))) (pow b 2))))
(*.f64 (fma.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) a)) (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/ (pow b 3) (pow a 2))
(/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) a) a)
(* (pow b 3) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (+ (/ 4 (* a (pow b 2))) (/ 12 (* (pow a 2) (pow b 2)))))))
(*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 (*.f64 (*.f64 a a) b) b)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(/ (pow b 2) a)
(*.f64 (/.f64 b a) b)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(*.f64 b (fma.f64 (/.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) a) b (/.f64 b a)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* a (+ 4 (* 2 a)))) (pow b 2))) 1)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b)))
(* -1 (* (pow b 3) (- (/ (* (pow a 2) (- (* -1 (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2))))) 2)) (pow b 2)) 1)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) (*.f64 (/.f64 a b) (/.f64 a b)) #s(literal -1 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ (* 4 (/ 1 a)) (* 12 (/ 1 (pow a 2)))) (pow b 2))) (+ (/ 1 (pow a 2)) (* 2 (/ 1 (pow b 2)))))))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 a a)) (/.f64 #s(literal 4 binary64) a))) (*.f64 b b)) (/.f64 (/.f64 #s(literal 1 binary64) a) a)))

rewrite306.0ms (3.8%)

Memory
11.3MiB live, 122.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064677
093673
1467669
24068669
010167613
Stop Event
iter limit
node limit
iter limit
Counts
23 → 276
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
#s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 b b)
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(-.f64 a #s(literal 4 binary64))
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
Outputs
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)))))
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(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64)) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) (*.f64 b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a))) (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 3 binary64)))))
(fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 a a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b))
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b))
(fma.f64 b #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(fma.f64 a (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) #s(literal 2 binary64)) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) (*.f64 a a)))))
(+.f64 (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(+.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b))

eval115.0ms (1.4%)

Memory
-17.3MiB live, 69.8MiB allocated
Compiler

Compiled 40 596 to 2 195 computations (94.6% saved)

prune42.0ms (0.5%)

Memory
-1.3MiB live, 36.1MiB allocated
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New4954499
Fresh279
Picked235
Done044
Total49918517
Accuracy
100.0%
Counts
517 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
68.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64))
99.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
87.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) a) a)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
74.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
70.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
92.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
71.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
45.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
53.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
47.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
47.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
50.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
27.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))))
24.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
Compiler

Compiled 2 836 to 761 computations (73.2% saved)

regimes60.0ms (0.7%)

Memory
-0.8MiB live, 35.9MiB allocated
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) a) a)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 b (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a))) (neg.f64 a))) a) a)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* b b) (+ (* b b) 12)) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.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 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
Calls

5 calls:

18.0ms
(-.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))
10.0ms
b
10.0ms
a
9.0ms
(+.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 b b)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.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 61 to 42 computations (31.1% saved)

regimes52.0ms (0.6%)

Memory
-12.6MiB live, 24.9MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* a (+ (* 2 a) 4)) 12) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))) #s(literal -1 binary64))))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
Calls

5 calls:

25.0ms
a
7.0ms
b
6.0ms
(+.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
(*.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
99.7%1a
99.7%1b
99.7%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))
99.7%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)))))
99.7%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes24.0ms (0.3%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) (fma.f64 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64) (*.f64 a a)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
Calls

5 calls:

5.0ms
a
5.0ms
b
5.0ms
(+.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)))))
4.0ms
(*.f64 b b)
4.0ms
(-.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
98.0%3a
93.6%2b
80.6%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))
80.6%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)))))
93.6%2(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes5.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
98.0%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
98.0%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

1 calls:

3.0ms
a
Results
AccuracySegmentsBranch
98.0%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes45.0ms (0.6%)

Memory
-39.5MiB live, 9.5MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

3 calls:

39.0ms
b
3.0ms
a
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
75.0%3b
75.0%3(*.f64 b b)
83.3%3a
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes13.0ms (0.2%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
Calls

5 calls:

2.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.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
71.1%2b
71.1%2(*.f64 b b)
59.5%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))
59.5%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)))))
71.3%3a
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes10.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64))))
Calls

5 calls:

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
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))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
50.9%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))
50.9%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)))))
50.9%1a
50.9%1b
50.9%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes8.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 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
(-.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
a
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
39.0%3a
50.9%2b
51.1%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))
51.1%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)))))
50.9%2(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes24.0ms (0.3%)

Memory
-29.8MiB live, 8.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
Calls

5 calls:

19.0ms
(*.f64 b b)
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
(-.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
b
1.0ms
a
Results
AccuracySegmentsBranch
24.5%1a
24.5%1b
24.5%1(*.f64 b b)
24.5%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))
24.5%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 61 to 42 computations (31.1% saved)

bsearch48.0ms (0.6%)

Memory
29.3MiB live, 29.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
641113486843.5437
9.708113303267447e+20
22.0ms
-1.5460526395187075e+30
-209391915899225.94
Samples
29.0ms304×0valid
Compiler

Compiled 1 542 to 991 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (46.7% of total)
ival-add: 5.0ms (23.3% of total)
ival-sub: 3.0ms (14% of total)
ival-pow2: 3.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
641113486843.5437
9.708113303267447e+20
1.0ms
-1.5460526395187075e+30
-209391915899225.94
Compiler

Compiled 1 512 to 951 computations (37.1% saved)

bsearch3.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
641113486843.5437
9.708113303267447e+20
1.0ms
-1.5460526395187075e+30
-209391915899225.94
Compiler

Compiled 1 476 to 915 computations (38% saved)

bsearch60.0ms (0.7%)

Memory
-34.5MiB live, 2.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
641113486843.5437
9.708113303267447e+20
58.0ms
-1.5460526395187075e+30
-209391915899225.94
Compiler

Compiled 1 476 to 915 computations (38% saved)

bsearch48.0ms (0.6%)

Memory
29.8MiB live, 29.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
0.0010737409988005714
5735732.060747375
20.0ms
-1.5460526395187075e+30
-209391915899225.94
Samples
29.0ms304×0valid
Compiler

Compiled 2 092 to 1 202 computations (42.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42.1% of total)
ival-add: 5.0ms (23.4% of total)
ival-sub: 3.0ms (14% of total)
ival-pow2: 3.0ms (14% 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
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9156613827141506e+256
6.811061948800567e+256
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3354772668912375e-7
64971646116644.88
Compiler

Compiled 32 to 24 computations (25% saved)

simplify98.0ms (1.2%)

Memory
-7.3MiB live, 30.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01091041
11931041
24291041
310601034
429471034
548361027
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 a #s(literal -210000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 2550000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 50000000000000001506382995007027125144524326988734756441605398995163706668882311641055617813457288178412192150858639140898346706834318867234424975099778599931393322808721069001301985282811477801121079651347551891440706762014265599582147062320881986730721280 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #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 944473296573929/2361183241434822606848 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (+ (* 2 a) 4) a) (+ (* b b) 12)) b) (*.f64 (fma.f64 b b #s(literal 12 binary64)) b)) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (or (<=.f64 a #s(literal -440000000000000016777216 binary64)) (not (<=.f64 a #s(literal 950000000000000000 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -440000000000000016777216 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 950000000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (or (<=.f64 a #s(literal -440000000000000016777216 binary64)) (not (<=.f64 a #s(literal 950000000000000000 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -210000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) (if (<=.f64 a #s(literal 2550000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (or (<=.f64 a #s(literal -210000000000000 binary64)) (not (<=.f64 a #s(literal 2550000 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (*.f64 (*.f64 a a) (*.f64 a a))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 50000000000000001506382995007027125144524326988734756441605398995163706668882311641055617813457288178412192150858639140898346706834318867234424975099778599931393322808721069001301985282811477801121079651347551891440706762014265599582147062320881986730721280 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 a a) #s(approx (+ (* (- 1 a) 4) (* a a)) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) (fma.f64 (*.f64 #s(literal 12 binary64) b) b #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 944473296573929/2361183241434822606848 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* a (+ (* 2 a) 4)) 12) (* b b)) (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1)) #s(approx (+ (* (* b b) 12) -1) (*.f64 (*.f64 b b) #s(literal 12 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* a a) (+ (* (- 1 a) 4) (* a a))) -1) #s(literal -1 binary64)))

soundness1.8s (21.9%)

Memory
-6.4MiB live, 722.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064677
093673
1467669
24068669
010167613
040383
063383
1349383
23135383
08844359
02781660
18751572
228301529
378661529
080071376
057472
086472
1405472
23425472
08577444
0191980
1599947
21876917
35825884
08215794
02221290
16901235
221701168
082831025
02621581
18341496
226211460
374011459
080191293
Stop Event
fuel
iter limit
node limit
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
iter limit
Compiler

Compiled 1 637 to 545 computations (66.7% saved)

preprocess74.0ms (0.9%)

Memory
3.1MiB live, 42.3MiB allocated
Remove

(abs b)

Compiler

Compiled 2 248 to 332 computations (85.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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