Bouland and Aaronson, Equation (24)

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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 (15.3%)

Memory
19.2MiB live, 1 349.5MiB allocated
Samples
859.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 610.0ms
ival-mult: 256.0ms (41.9% of total)
ival-add: 149.0ms (24.4% of total)
ival-sub: 101.0ms (16.5% of total)
ival-pow2: 85.0ms (13.9% of total)
exact: 11.0ms (1.8% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain271.0ms (3.5%)

Memory
-29.7MiB live, 337.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
460-0-(+.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)))))
350-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
130-2(-1.3571750616868268e+239 -1.7845108462543218e-159)(*.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-rescue460
(*.f64 b b)overflow61
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow160
(*.f64 a a)overflow65
(+.f64 (*.f64 a a) (*.f64 b b))overflow111
(*.f64 b b)overflow61
(*.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))))overflow130
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow130
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow77
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow65
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue350
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow65
(*.f64 b b)overflow61
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow77
Confusion
Predicted +Predicted -
+640
-0192
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-00192
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0192
147
217
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms512×0valid
Compiler

Compiled 441 to 76 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 22.0ms (50.7% of total)
ival-add: 10.0ms (23% of total)
ival-sub: 5.0ms (11.5% of total)
ival-pow2: 5.0ms (11.5% of total)
ival-true: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)

preprocess264.0ms (3.4%)

Memory
-24.3MiB live, 251.2MiB 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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(-.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)

simplify174.0ms (2.2%)

Memory
27.7MiB live, 149.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.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)

localize42.0ms (0.5%)

Memory
-5.7MiB live, 70.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.10384750976844202
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy2.9018626298028667
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy7.8359024091134994
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy9.183593750000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Samples
31.0ms256×0valid
Compiler

Compiled 274 to 38 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.6% of total)
ival-add: 4.0ms (23.2% of total)
ival-pow2: 3.0ms (17.4% of total)
ival-sub: 2.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-23.1MiB live, 15.3MiB allocated
Counts
5 → 47
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)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
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))))
(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))
(* (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)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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))))
(* -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)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 3 a))
(* (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)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Calls

6 calls:

TimeVariablePointExpression
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) (* (* b b) (+ 3 a)))
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) (* (* b b) (+ 3 a)))
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) (* (* b b) (+ 3 a)))
1.0ms
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) (* (* b b) (+ 3 a)))
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) (* (* b b) (+ 3 a)))

simplify205.0ms (2.6%)

Memory
21.0MiB live, 175.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181754
1564731
21748707
35181682
47336682
08366625
Stop Event
iter limit
node limit
Counts
47 → 47
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))))
(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))
(* (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)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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))))
(* -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)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 3 a))
(* (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)))))
(* (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 #s(literal 12 binary64) b) b (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 (pow.f64 b #s(literal 4 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (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)
(*.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))
(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 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #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)))
(* (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)))
(* 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 (* -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))
(+ (* 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 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (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)))))
(*.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)))

rewrite317.0ms (4.1%)

Memory
-18.7MiB live, 227.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01765
02865
112365
2106165
0822856
Stop Event
iter limit
node limit
iter limit
Counts
5 → 442
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)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(*.f64 (-.f64 (pow.f64 (*.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 2 binary64)) (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)) (pow.f64 (*.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 2 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))))))
(*.f64 (neg.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 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.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)) (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)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.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 2 binary64))) (pow.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))) #s(literal -1 binary64)))
(*.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 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (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) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (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))))))
(*.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 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.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)) (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)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 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) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.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) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(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 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)))
(+.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 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (pow.f64 (-.f64 #s(literal 3 binary64) a) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (pow.f64 (-.f64 #s(literal 3 binary64) a) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 (+.f64 #s(literal 3 binary64) a) b))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) a) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))) (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64)))))
(/.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b a) b))
(fma.f64 (*.f64 b a) b (*.f64 (*.f64 b #s(literal 3 binary64)) b))
(fma.f64 (*.f64 a b) b (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b b) a (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 #s(literal 3 binary64) b) (*.f64 b (*.f64 a b)))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 b b) a))
(fma.f64 b (*.f64 b a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 a b) (*.f64 b (*.f64 #s(literal 3 binary64) b)))
(fma.f64 a (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))
(+.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) b) (*.f64 (*.f64 b a) b))
(+.f64 (*.f64 (*.f64 b a) b) (*.f64 (*.f64 b #s(literal 3 binary64)) b))
(+.f64 (*.f64 b (*.f64 #s(literal 3 binary64) b)) (*.f64 b (*.f64 a b)))
(+.f64 (*.f64 b (*.f64 a b)) (*.f64 b (*.f64 #s(literal 3 binary64) b)))
(+.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))

eval89.0ms (1.1%)

Memory
16.5MiB live, 90.2MiB allocated
Compiler

Compiled 30 558 to 2 425 computations (92.1% saved)

prune25.0ms (0.3%)

Memory
-7.8MiB live, 37.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New47110481
Fresh000
Picked101
Done000
Total47210482
Accuracy
100.0%
Counts
482 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.7%
(-.f64 (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #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))) #s(literal 1 binary64))
53.0%
(-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
83.8%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
98.8%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
75.0%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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))
52.5%
(-.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))
69.5%
(-.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 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))
69.3%
(-.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))
67.4%
(-.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))
68.9%
(-.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))
Compiler

Compiled 804 to 498 computations (38.1% saved)

simplify209.0ms (2.7%)

Memory
3.6MiB live, 113.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff6080
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff0
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
cost-diff0
(*.f64 b b)
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-diff6144
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
cost-diff0
#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))
cost-diff0
(-.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))
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff0
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056727
095727
1170727
2350727
3963727
42560727
54443727
66893727
08219686
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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
#s(literal 3 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 (fma.f64 #s(literal 4 binary64) a #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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 4 binary64)
a
#s(literal 12 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)
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(fma.f64 (neg.f64 a) a a)
(neg.f64 a)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 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 (*.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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (-.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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
#s(literal 3 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 (fma.f64 #s(literal 4 binary64) a #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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 4 binary64)
a
#s(literal 12 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)
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(fma.f64 (neg.f64 a) a a)
(*.f64 (-.f64 #s(literal 1 binary64) a) a)
(neg.f64 a)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b #s(literal -1 binary64))) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 a #s(literal -3 binary64)) b) b (*.f64 a a))) #s(literal -4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 a #s(literal -3 binary64)) b) b (*.f64 a a))) #s(literal -4 binary64))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(-.f64 (fma.f64 (*.f64 (-.f64 a #s(literal -3 binary64)) b) b (*.f64 a a)) (pow.f64 a #s(literal 3 binary64)))
(*.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 a #s(literal -3 binary64)) b) b)
(+.f64 #s(literal 3 binary64) a)
(-.f64 a #s(literal -3 binary64))
#s(literal 3 binary64)

localize156.0ms (2%)

Memory
9.4MiB live, 100.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.9018626298028667
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy3.1318961780823673
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy7.8359024091134994
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy9.183593750000002
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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)))))
accuracy0.046875
(*.f64 (fma.f64 (neg.f64 a) a a) a)
accuracy0.10384750976844202
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy9.183593750000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
accuracy28.568767070266038
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
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)
accuracy0.07184498993272953
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy23.956315793851683
#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))))
accuracy0.0
(-.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))
accuracy0.04296875
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
accuracy0.09375
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
accuracy24.275199461130143
#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))
accuracy0.10384750976844202
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy0.14453125
(*.f64 #s(literal 3 binary64) (*.f64 b b))
accuracy9.183593750000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
accuracy32.675576532745794
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
Samples
61.0ms246×0valid
3.0ms1valid
2.0ms2valid
Compiler

Compiled 1 324 to 99 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 21.0ms (49% of total)
ival-add: 11.0ms (25.7% of total)
ival-pow: 3.0ms (7% of total)
ival-pow2: 3.0ms (7% of total)
ival-sub: 2.0ms (4.7% of total)
adjust: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory
-15.0MiB live, 23.1MiB allocated
Counts
25 → 83
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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))
#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))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(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))
#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 b b)
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(+.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 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
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))
(- (+ (* 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 b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (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))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 a)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(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) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* -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))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) 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 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -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)))
(- (+ (* 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)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* 12 (pow b 2))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ 3 a))
(* (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 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)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
35.0ms
b
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (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) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (+ (* (* b b) 12) (pow b 4)) (- (+ (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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 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))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
3.0ms
a
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (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) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (+ (* (* b b) 12) (pow b 4)) (- (+ (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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 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))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
3.0ms
b
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (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) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (+ (* (* b b) 12) (pow b 4)) (- (+ (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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 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))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
2.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (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) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (+ (* (* b b) 12) (pow b 4)) (- (+ (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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 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))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
2.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (- (+ (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) (+ (* 4 a) 12)) b) b) (* (+ (* b b) (+ (* 4 a) 12)) b) (+ (* (* b b) 12) (pow b 4)) (- (+ (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) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 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))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow (+ (* a a) (* b b)) 2) (+ (* (* (+ (* (* b b) 2) (* a a)) a) a) (pow b 4)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* 3 (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (neg a) a) a) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))

simplify219.0ms (2.8%)

Memory
29.0MiB live, 106.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02531322
18281263
225541233
373781229
080931123
Stop Event
iter limit
node limit
Counts
83 → 83
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))
(- (+ (* 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 b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (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))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 a)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(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) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* -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))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 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))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) 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 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -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)))
(- (+ (* 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)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* 12 (pow b 2))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ 3 a))
(* (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 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)))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 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 #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (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)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(- (+ (* 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)
(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 (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 (+ (* -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 (fma.f64 b b #s(literal 12 binary64)) b) b #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 b b) #s(literal 2 binary64) (*.f64 a a)) 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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))
(* 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)
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 a)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(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 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #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 b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a 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)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* 4 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* 4 (* a b))
(*.f64 (*.f64 b a) #s(literal 4 binary64))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) (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 b a) (/.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 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 3 binary64)))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) 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)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a)) (neg.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) (/.f64 b a) (*.f64 (neg.f64 b) b)) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) a) (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64))) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.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))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) 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 (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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) 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 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 12 (* 4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b))
(* b (+ 12 (* 4 a)))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(* 12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(* (pow a 2) (- 1 a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (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)))))))
(*.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 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 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 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)))))
(*.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)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) (/.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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 4) (+ 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 4 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal -12 binary64)) b) b)) (pow.f64 b #s(literal 3 binary64)))

rewrite272.0ms (3.5%)

Memory
-16.2MiB live, 144.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056557
095557
1391557
23228557
08278508
Stop Event
iter limit
node limit
iter limit
Counts
25 → 618
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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))
#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))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(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))
#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 b b)
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(+.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 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (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 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.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 -1 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (hypot.f64 b a) #s(literal 1 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.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 -1 binary64)) #s(literal 1 binary64)))
(*.f64 (hypot.f64 b a) (hypot.f64 b a))
(*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 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 -1 binary64)))
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (exp.f64 (log.f64 (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (exp.f64 (log.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 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.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 a #s(literal 4 binary64)) (pow.f64 b #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 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.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 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.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 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 b b))
(fma.f64 a a (*.f64 b b))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 b b) (*.f64 a a))
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(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (fma.f64 (neg.f64 a) a a) a))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (fma.f64 (*.f64 a b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)))
(fma.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(fma.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 a a) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(fma.f64 (fma.f64 (neg.f64 a) a a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (fma.f64 (*.f64 a b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)))
(fma.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (fma.f64 (*.f64 a b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)))
(fma.f64 b (*.f64 (+.f64 #s(literal 3 binary64) a) b) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(fma.f64 b (*.f64 #s(literal 3 binary64) b) (fma.f64 (*.f64 a b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)))
(fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(fma.f64 a (fma.f64 (neg.f64 a) a a) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 3 binary64) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))))
(+.f64 (fma.f64 (fma.f64 (neg.f64 a) a a) a (*.f64 #s(literal 3 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) a))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(+.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 a b) b (*.f64 (fma.f64 (neg.f64 a) a a) a)))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a)
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (pow.f64 a #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 (*.f64 a a) a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 (+.f64 #s(literal 3 binary64) a) b))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))))
(fma.f64 (*.f64 a b) b (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 (*.f64 b b) a))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b b) a (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 b a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 #s(literal 3 binary64) b) (*.f64 (*.f64 b b) a))
(fma.f64 a (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))

eval161.0ms (2.1%)

Memory
-6.6MiB live, 148.1MiB allocated
Compiler

Compiled 53 541 to 3 160 computations (94.1% saved)

prune36.0ms (0.5%)

Memory
25.4MiB live, 65.2MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New76416780
Fresh325
Picked415
Done000
Total77119790
Accuracy
100.0%
Counts
790 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
98.7%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
67.6%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
83.1%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
69.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
52.5%
(-.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))
69.3%
(-.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))
67.4%
(-.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))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
66.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
34.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
48.8%
(-.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))
66.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
37.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64)))) #s(literal 1 binary64))
78.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
80.0%
#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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
69.2%
#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)))
68.5%
#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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64)))
Compiler

Compiled 1 686 to 1 037 computations (38.5% saved)

simplify196.0ms (2.5%)

Memory
8.7MiB live, 81.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 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))))) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
(-.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))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
cost-diff320
(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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 b b) #s(literal 12 binary64))
cost-diff0
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
cost-diff0
#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))))
cost-diff0
(-.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))
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff0
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054575
080575
1158570
2361570
3986567
42805567
54600567
08089532
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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))
#s(approx (* (+ (* (neg a) a) a) a) (*.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))))) #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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(*.f64 b b)
b
#s(literal 12 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 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))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 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 (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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a))
(*.f64 b b)
b
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) a)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 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))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64) (-.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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))
#s(approx (* (+ (* (neg a) a) a) a) (*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 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 #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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(*.f64 b b)
b
#s(literal 12 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 b b) (fma.f64 b b #s(literal 12 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))))) (*.f64 (*.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))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.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 (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 (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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) a #s(literal -1 binary64))))
(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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) a #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a))
(*.f64 b b)
b
(fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64))
#s(literal 2 binary64)
a
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) a)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
#s(literal 12 binary64)
#s(literal -1 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))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)

localize171.0ms (2.2%)

Memory
-26.9MiB live, 141.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 a #s(literal 4 binary64))
accuracy0.0
(-.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))
accuracy30.08858617748892
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
accuracy0.0234375
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a))
accuracy0.078125
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
accuracy3.7929687500000004
(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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
accuracy8.694217672231687
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
accuracy0.0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.13825123993272953
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
accuracy23.956315793851683
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
accuracy0.0
(*.f64 b b)
accuracy0.15778248993272953
(*.f64 (*.f64 b b) #s(literal 12 binary64))
accuracy15.973922257773742
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
accuracy23.956315793851683
#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))))
accuracy0.10384750976844202
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy9.183593750000002
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))))
accuracy22.121846000912143
#s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))
accuracy28.568767070266038
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))
Samples
138.0ms246×0valid
4.0ms3valid
2.0ms2valid
1.0ms1valid
Compiler

Compiled 1 023 to 100 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-add: 66.0ms (63.8% of total)
ival-mult: 22.0ms (21.3% of total)
ival-pow: 6.0ms (5.8% of total)
ival-pow2: 4.0ms (3.9% of total)
adjust: 2.0ms (1.9% of total)
ival-sub: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-16.1MiB live, 26.9MiB allocated
Counts
21 → 84
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.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))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 b b)
(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 (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 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a))
(-.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))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))
#s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
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))
(- (+ (* 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 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)
(* 4 (pow b 2))
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(pow a 4)
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 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))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* -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))
(* (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 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4)))
(* -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)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow 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)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* 12 (pow b 2))
(* (pow b 2) (+ 12 (pow b 2)))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(* 4 a)
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* 12 b)
(* b (+ 12 (pow b 2)))
(* (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 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)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* 2 a)))
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ a (pow b 2))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
Calls

6 calls:

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

simplify205.0ms (2.6%)

Memory
12.2MiB live, 205.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02671445
18461389
226051338
372051334
080691205
Stop Event
iter limit
node limit
Counts
84 → 84
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))
(- (+ (* 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 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)
(* 4 (pow b 2))
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(pow a 4)
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 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))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* a (+ 4 (* 2 (pow b 2))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* -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))
(* (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 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4)))
(* -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)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow 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)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* 12 (pow b 2))
(* (pow b 2) (+ 12 (pow b 2)))
(- (* 4 (pow a 2)) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(* 4 a)
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* 12 b)
(* b (+ 12 (pow b 2)))
(* (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 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)))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* 2 a)))
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ a (pow b 2))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
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 #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 #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))) (*.f64 b b)))
(+ (* 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)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(- (+ (* 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 (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)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.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)
(-.f64 (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)))) #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 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* -1 a)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) 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 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #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 b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a 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)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (/.f64 (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)) a) a)) (*.f64 a a))
(* a (+ 4 (* 2 (pow b 2))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a))) (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)))
(* (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 2) (- (* -2 (pow b 2)) 4)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a))))
(*.f64 (*.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) a)) a)) a) a)
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4)))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a)) (neg.f64 (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 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) (/.f64 b a) (*.f64 (neg.f64 b) b)) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) 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 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) 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 b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64)))
(+ (* 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 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* 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)))
(- (* 4 (pow a 2)) 1)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* 4 (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 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a))
(* (pow a 2) (- 1 a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* b (+ 12 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(* (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 #s(literal 4 binary64) b) (/.f64 (+.f64 #s(literal 3 binary64) a) 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)))))))
(*.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)) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (+.f64 #s(literal 3 binary64) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 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 (-.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)) (fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) (+.f64 #s(literal 3 binary64) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 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)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 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 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 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a) (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)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (* 2 a)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ a (pow b 2))))))
(*.f64 (fma.f64 a (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 b b))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64)))

rewrite215.0ms (2.8%)

Memory
15.8MiB live, 247.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054489
080486
1379482
23197482
08794441
Stop Event
iter limit
node limit
iter limit
Counts
21 → 411
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.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))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 b b)
(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 (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 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a))
(-.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))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a)))
#s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
Outputs
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 2 binary64)) #s(literal 16 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (-.f64 (*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
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(*.f64 b (fma.f64 b b #s(literal 12 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) b) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))) b) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64))) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 (*.f64 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 #s(literal 12 binary64) (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 #s(literal 12 binary64) b))
(fma.f64 #s(literal 12 binary64) b (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) b (*.f64 #s(literal 12 binary64) b))
(fma.f64 b #s(literal 12 binary64) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (*.f64 b b) (*.f64 #s(literal 12 binary64) b))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 12 binary64) b))
(+.f64 (*.f64 #s(literal 12 binary64) b) (pow.f64 b #s(literal 3 binary64)))

eval102.0ms (1.3%)

Memory
-3.5MiB live, 123.1MiB allocated
Compiler

Compiled 39 449 to 1 918 computations (95.1% saved)

prune28.0ms (0.4%)

Memory
-19.8MiB live, 66.0MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New4898497
Fresh31013
Picked325
Done011
Total49521516
Accuracy
100.0%
Counts
516 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
67.6%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
83.1%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
69.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
52.5%
(-.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))
69.3%
(-.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))
67.4%
(-.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))
67.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 a)) a)) #s(literal 1 binary64))
67.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
66.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
48.8%
(-.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))
48.8%
(-.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 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
66.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
80.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
69.2%
#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)))
78.9%
#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 (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) a))))
69.2%
#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)))
68.5%
#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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64)))
86.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
49.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
Compiler

Compiled 1 824 to 1 107 computations (39.3% saved)

simplify153.0ms (2%)

Memory
13.1MiB live, 208.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
cost-diff0
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
cost-diff832
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
cost-diff-5504
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
(*.f64 a a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a 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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
cost-diff0
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
cost-diff0
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a))
cost-diff0
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069778
0102778
1208768
2471762
31034758
42821748
54985748
08103700
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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 2 binary64)
#s(literal 4 binary64)
a
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) 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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a 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))))) (*.f64 (*.f64 a a) (*.f64 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 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a 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 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))
b
(+.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)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(fma.f64 (neg.f64 a) a a)
(neg.f64 a)
#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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a))
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 2 binary64)
#s(literal 4 binary64)
a
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) 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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a 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))))) (*.f64 (*.f64 a a) (*.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))))) (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))))) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (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
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)) b)
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))
#s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))
(*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) b)
b
(+.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)
a
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))
(*.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(fma.f64 (neg.f64 a) a a)
(*.f64 (-.f64 #s(literal 1 binary64) a) a)
(neg.f64 a)
#s(literal 1 binary64)

localize128.0ms (1.6%)

Memory
19.7MiB live, 218.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.1318961780823673
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy9.183593750000002
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
accuracy18.596964914902056
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
accuracy28.568767070266038
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
accuracy0.09375
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
accuracy3.100170934264279
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
accuracy4.024897044301315
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
accuracy24.275199461130143
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
accuracy0.0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy0.0
(*.f64 a a)
accuracy0.109375
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy30.08858617748892
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0.0
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy0.0
(*.f64 a a)
accuracy8.694217672231687
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
accuracy24.097354577691412
#s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
accuracy3.0811149280823673
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
accuracy3.7929687500000004
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
accuracy8.694217672231687
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
accuracy18.808223937320488
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a))
Samples
74.0ms236×0valid
7.0ms1valid
6.0ms3valid
4.0ms2valid
1.0ms4valid
Compiler

Compiled 1 325 to 128 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 37.0ms (53.7% of total)
ival-add: 19.0ms (27.6% of total)
adjust: 4.0ms (5.8% of total)
ival-pow2: 3.0ms (4.4% of total)
ival-div: 2.0ms (2.9% of total)
ival-sub: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-1.4MiB live, 36.8MiB allocated
Counts
22 → 110
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 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 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a 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)
(- (* (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)
(* 4 (pow b 2))
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(* a (+ 4 (* 2 (pow b 2))))
-1
(- (* 4 (pow a 2)) 1)
(pow a 2)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(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))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(/ (+ 12 (pow b 2)) a)
(* 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))))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* (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) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* -1 (pow a 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))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (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))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4)))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) 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 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 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)) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(* 4 a)
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a))))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* a (* b (+ 4 (* 12 (/ 1 a)))))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(* (pow b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(/ 12 a)
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (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 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* 2 a)))
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ a (pow b 2))))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ 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 3)
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* a a) 4) -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 a) (* a a)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) 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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a))
4.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* a a) 4) -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 a) (* a a)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) 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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a))
3.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* a a) 4) -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 a) (* a a)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) 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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a))
3.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* a a) 4) -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 a) (* a a)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) 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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a))
3.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (* (+ (* (* b b) 2) 4) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (+ (* (* a a) 4) -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 a) (* a a)) (* (* b (+ (/ (+ (* b b) 12) a) 4)) 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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (/ (+ (* b b) 12) a) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (* (+ (* (* b b) 2) (* a a)) a))

simplify320.0ms (4.1%)

Memory
-5.0MiB live, 200.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03231784
110341704
232301638
082621482
Stop Event
iter limit
node limit
Counts
110 → 110
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)
(- (* (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)
(* 4 (pow b 2))
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(* a (+ 4 (* 2 (pow b 2))))
-1
(- (* 4 (pow a 2)) 1)
(pow a 2)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(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))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(/ (+ 12 (pow b 2)) a)
(* 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))))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* (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) (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (- (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))) (/ 1 (pow a 2))))
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* -1 (pow a 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))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (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))))
(* -1 (* (pow a 2) (- (* -2 (pow b 2)) 4)))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a))))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a))))
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4)))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) 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 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 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)) (* (pow b 2) (+ 12 (* a (+ 4 (* 2 a)))))) 1)
(- (+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2))))) 1)
(* 4 a)
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a))))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* a (* b (+ 4 (* 12 (/ 1 a)))))
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(* (pow b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(/ 12 a)
(+ (* 12 (/ 1 a)) (/ (pow b 2) a))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (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 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 4 (* 2 a)))
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ a (pow b 2))))))
(* (pow b 2) (+ (* 2 a) (* 4 (/ 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 3)
(* (pow b 3) (+ 1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(/ (pow b 2) a)
(* (pow b 2) (+ (/ 1 a) (* 12 (/ 1 (* a (pow b 2))))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
Outputs
(- (+ (* 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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.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)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #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)) #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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a))
(* a (+ 4 (* 2 (pow b 2))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
-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)
(*.f64 a a)
(+ (* 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 (fma.f64 b b #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 a 4)
(pow.f64 a #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)
(* (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)
(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 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a)
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(/ (+ 12 (pow b 2)) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) 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))))
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(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a))
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(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (fma.f64 (/.f64 (*.f64 b b) a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) (*.f64 a a))
(* a (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)
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(* (pow a 2) (- 4 (/ 1 (pow a 2))))
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(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
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(* 4 (* a (pow b 2)))
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(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
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(* (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)))
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(* (pow a 3) (- (/ 1 a) 1))
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(* (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 b a) (/.f64 b a)) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)))
(pow a 3)
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(* (pow a 3) (+ 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 3 binary64)))
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(*.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)))
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(*.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 2) (- (* -2 (pow b 2)) 4)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* 4 (/ (pow b 2) a))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (+ (* -1 (- (* -2 (pow b 2)) 4)) (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (- (* (pow b 2) (+ 12 (pow b 2))) 1) a))) a))))
(*.f64 (*.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 b b #s(literal 12 binary64)) a)) (/.f64 #s(literal 1 binary64) a)) a)) a) a)
(* -1 (* a (- (* -2 (pow b 2)) 4)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(* -1 (* a (- (+ (* -4 (/ (pow b 2) a)) (* -2 (pow b 2))) 4)))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b a) b #s(literal 1 binary64)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) (/.f64 b a) (*.f64 (neg.f64 b) b)) a)) a)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) a) (/.f64 b a) #s(literal -1 binary64)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))
(- (+ (* 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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #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 (*.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 (*.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)) (* (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 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(- (+ (* 4 (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 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(+ (* 4 a) (* (pow b 2) (+ 4 (* 2 a))))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a))
(+ (* 2 (* a (pow b 2))) (* 4 a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 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))))
(* a (* b (+ 4 (* 12 (/ 1 a)))))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b)
(* b (+ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2)))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(* (pow b 2) (+ 12 (* 4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(/ 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 a 2) (- 1 a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b 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 (-.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)) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) #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)))))
(*.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 (+ (* 4 (/ (pow a 2) (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (/ (* a (+ 4 (* 2 a))) (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (fma.f64 (*.f64 a a) (/.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 4 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)))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (* 2 a)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* 2 a) (* 4 (/ a (pow b 2))))))
(*.f64 (fma.f64 a (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(*.f64 (*.f64 a (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) b) b) #s(literal 2 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)))))))
(*.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)) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) #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 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))))
(*.f64 (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 3 binary64)))
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(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
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(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
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(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
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(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)) (*.f64 b b))
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(/.f64 (*.f64 b b) a)
(* (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)))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
(* -1 (* (pow b 3) (- (* -1 (/ (* a (+ 4 (* 12 (/ 1 a)))) (pow b 2))) 1)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)))

rewrite252.0ms (3.2%)

Memory
-5.9MiB live, 192.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069627
0102621
1471612
24056612
09949562
Stop Event
iter limit
node limit
iter limit
Counts
22 → 269
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 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 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b))
(*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(/.f64 (fma.f64 b b #s(literal 12 binary64)) a)
#s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (*.f64 a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))
(fma.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(fma.f64 b (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(fma.f64 a #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))))
(+.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(+.f64 (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))
(+.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)))
#s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))))
(/.f64 (*.f64 a (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal -4 binary64)))
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) b (*.f64 #s(literal 4 binary64) a))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (*.f64 #s(literal 4 binary64) a))
(fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b b) (*.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
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(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) b (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b b) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 b b) a) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) a) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 b (*.f64 b (*.f64 #s(literal 2 binary64) a)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))

eval96.0ms (1.2%)

Memory
-3.8MiB live, 73.0MiB allocated
Compiler

Compiled 28 073 to 1 799 computations (93.6% saved)

prune88.0ms (1.1%)

Memory
3.2MiB live, 48.8MiB allocated
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New38910399
Fresh7613
Picked235
Done033
Total39822420
Accuracy
100.0%
Counts
420 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.6%
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
26.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))))
83.1%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 binary64))))) #s(literal 1 binary64))
55.5%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
69.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 12 binary64) (*.f64 b b)))) #s(literal 1 binary64))
52.5%
(-.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))
69.3%
(-.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))
67.4%
(-.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))
67.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (*.f64 (neg.f64 a) a) (neg.f64 a)) a)) #s(literal 1 binary64))
67.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
67.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) b)) #s(literal 1 binary64))
66.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
48.8%
(-.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))
48.8%
(-.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 #s(literal 12 binary64) b) b))) #s(literal 1 binary64))
69.2%
#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)))
86.4%
#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 (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))))
69.2%
#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)))
68.5%
#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)))
86.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
49.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
28.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
23.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) #s(literal -1 binary64))))
Compiler

Compiled 3 458 to 948 computations (72.6% saved)

regimes142.0ms (1.8%)

Memory
-9.4MiB live, 69.2MiB allocated
Counts
45 → 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) (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 b b #s(literal 12 binary64)) (*.f64 b b) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 b b) (fma.f64 b b #s(literal 12 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 (*.f64 (neg.f64 a) a) (neg.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 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 (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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) a))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (pow.f64 b #s(literal 3 binary64))) 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 (*.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 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 12 binary64) (*.f64 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 (*.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 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a 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 (-.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))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 a a) (+.f64 a b)) (/.f64 (*.f64 a a) (-.f64 a b)) (neg.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)) #s(literal 4 binary64) #s(literal -1 binary64)))
(-.f64 (fma.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (pow.f64 (hypot.f64 b a) #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))) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
Calls

5 calls:

54.0ms
(+.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)))))
52.0ms
a
12.0ms
b
11.0ms
(*.f64 b b)
10.0ms
(-.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
98.8%1a
98.8%1b
98.8%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))
98.8%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)))))
98.8%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes104.0ms (1.3%)

Memory
19.6MiB live, 58.8MiB 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) (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 b b #s(literal 12 binary64)) (*.f64 b b) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 b b) (fma.f64 b b #s(literal 12 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 (*.f64 (neg.f64 a) a) (neg.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 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 (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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) a))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (pow.f64 b #s(literal 3 binary64))) 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 (*.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 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 12 binary64) (*.f64 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 (*.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 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a 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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
Calls

5 calls:

66.0ms
(*.f64 b b)
10.0ms
b
9.0ms
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)))))
8.0ms
(-.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
98.7%1a
98.7%1b
98.7%1(*.f64 b b)
98.7%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))
98.7%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)))))
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes88.0ms (1.1%)

Memory
-7.6MiB live, 73.3MiB allocated
Counts
35 → 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) (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 b b #s(literal 12 binary64)) (*.f64 b b) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 b b) (fma.f64 b b #s(literal 12 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 (*.f64 (neg.f64 a) a) (neg.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 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 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 (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 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) b) b (*.f64 #s(literal 4 binary64) a)) a))))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 b b) #s(literal 3 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.f64 a a)) #s(literal -1 binary64))))
(fma.f64 #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 (fma.f64 (neg.f64 a) a a) a)))) #s(literal 1 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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (pow.f64 b #s(literal 3 binary64))) 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 (*.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 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 12 binary64) (*.f64 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 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 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) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a))))
Calls

5 calls:

35.0ms
(+.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)))))
25.0ms
b
9.0ms
a
8.0ms
(*.f64 b b)
8.0ms
(-.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
97.4%3a
98.8%2b
91.9%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
91.9%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
98.8%2(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes12.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
20 → 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) (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 b b #s(literal 12 binary64)) (*.f64 b b) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 b b) (fma.f64 b b #s(literal 12 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 (*.f64 (neg.f64 a) a) (neg.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 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) 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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (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) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
Calls

2 calls:

6.0ms
b
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.8%2b
98.8%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes22.0ms (0.3%)

Memory
-24.1MiB live, 15.4MiB allocated
Counts
19 → 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) (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 b b #s(literal 12 binary64)) (*.f64 b b) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 b b) (fma.f64 b b #s(literal 12 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 (*.f64 (neg.f64 a) a) (neg.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 a a) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 #s(approx (/ (+ (* b b) 12) a) (/.f64 (*.f64 b b) a)) #s(literal 4 binary64))) a)) b)) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64))) a)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) (*.f64 b a))) b)) #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) (fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

15.0ms
(*.f64 b b)
6.0ms
b
Results
AccuracySegmentsBranch
96.1%2b
96.1%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.2%)

Memory
17.7MiB live, 17.7MiB allocated
Counts
12 → 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) (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 b b #s(literal 12 binary64)) (*.f64 b b) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 b b) (fma.f64 b b #s(literal 12 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 (*.f64 (neg.f64 a) a) (neg.f64 a)) a)) #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 a a) (*.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 #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
Calls

3 calls:

4.0ms
a
4.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
96.2%3a
95.0%2b
95.0%2(*.f64 b b)
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes45.0ms (0.6%)

Memory
-15.9MiB live, 23.7MiB 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) (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 b b #s(literal 12 binary64)) (*.f64 b b) #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) (+ (* 4 a) 12)) b) b) (*.f64 (*.f64 (*.f64 b b) 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))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) #s(literal 4 binary64))) b)) #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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

5 calls:

32.0ms
a
3.0ms
b
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
3.0ms
(*.f64 b b)
3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
72.4%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
72.4%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
84.9%3a
83.3%2b
83.3%2(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes11.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
5 → 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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))))) #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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #s(literal 12 binary64) b) b))) #s(literal 1 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
56.3%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
56.3%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
67.6%2b
67.6%2(*.f64 b b)
67.8%3a
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes33.0ms (0.4%)

Memory
-27.2MiB live, 14.6MiB allocated
Counts
3 → 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a 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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

5 calls:

25.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
b
2.0ms
a
2.0ms
(-.f64 (+.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
49.9%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))
49.9%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)))))
49.9%1a
49.9%1b
49.9%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes7.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64)))))
Calls

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
b
1.0ms
(-.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
37.9%2b
37.9%2(*.f64 b b)
49.9%3a
50.2%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))
50.2%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)))))
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB 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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) #s(literal -1 binary64))))
Calls

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
(-.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
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
23.3%1(*.f64 b b)
23.3%1b
23.3%1a
23.3%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))
23.3%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)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9072342649246102e-11
1196.3677186213915
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.9072342649246102e-11
1196.3677186213915
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.333636271927434e+24
1.3289573300233318e+31
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.333636271927434e+24
1.3289573300233318e+31
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch100.0ms (1.3%)

Memory
-23.2MiB live, 55.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
3.3195472210140043e+118
5.2391374643379834e+128
45.0ms
-3.4954640201903274e+165
-1.4109669071593336e+150
Samples
53.0ms320×0valid
Compiler

Compiled 2 162 to 1 302 computations (39.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-pow2: 27.0ms (59.6% of total)
ival-mult: 9.0ms (19.9% of total)
ival-add: 5.0ms (11% of total)
ival-sub: 3.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.267863996072741e+299
1.3267567481742768e+308
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0007623508116204381
28811596326.843758
Compiler

Compiled 32 to 24 computations (25% saved)

simplify80.0ms (1%)

Memory
9.2MiB live, 48.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01181068
11941067
23851067
39361053
426681053
552441053
Stop Event
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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/154742504910672534362390528 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/154742504910672534362390528 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 519999999999999962133689844256501274802642917870256557964746970598212757789545351258136037615344703004209517548102452739427008512 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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) #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) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) #s(approx (* (+ (* (neg a) a) a) a) (*.f64 a a))))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/154742504910672534362390528 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(literal 12 binary64)) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)) a)))))
(if (<=.f64 (*.f64 b b) #s(literal 7737125245533627/154742504910672534362390528 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(approx (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 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 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a) (*.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 #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 1999999999999999966445568 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.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 #s(literal 12 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal -6599999999999999886598031775407596327670420634584185652767232239388785825611102232895075758908222222825272510604505816001467802298766668861963094519185408 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64))))) (if (<=.f64 a #s(literal 519999999999999962133689844256501274802642917870256557964746970598212757789545351258136037615344703004209517548102452739427008512 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) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))))
(if (<=.f64 (*.f64 b b) #s(literal 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 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 #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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -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 (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) (*.f64 (*.f64 a a) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* (* b b) (+ (* 2 a) 4)) (* 4 a)) a) (+ (* (* (+ (* b b) 12) b) b) -1)) #s(approx (+ (* (* a a) 4) -1) #s(literal -1 binary64))))

soundness1.4s (17.7%)

Memory
13.1MiB live, 1 051.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054489
080486
1379482
23197482
08794441
069627
0102621
1471612
24056612
09949562
0181754
1564731
21748707
35181682
47336682
08366625
03231784
110341704
232301638
082621482
02671445
18461389
226051338
372051334
080691205
02531322
18281263
225541233
373781229
080931123
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 712 to 611 computations (64.3% saved)

preprocess63.0ms (0.8%)

Memory
-16.0MiB live, 102.4MiB allocated
Remove

(abs b)

Compiler

Compiled 2 420 to 376 computations (84.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...