Bouland and Aaronson, Equation (26)

Time bar (total: 3.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
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 19 to 13 computations (31.6% saved)

sample909.0ms (27.1%)

Memory
-11.3MiB live, 1 398.1MiB allocated; 272ms collecting garbage
Samples
682.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 391.0ms
ival-mult!: 232.0ms (59.3% of total)
ival-pow2: 91.0ms (23.3% of total)
ival-add!: 46.0ms (11.8% of total)
ival-sub!: 20.0ms (5.1% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain151.0ms (4.5%)

Memory
-7.2MiB live, 333.3MiB allocated; 22ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
00-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
00-0-#s(literal 4 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
00-0-(*.f64 b b)
01(-1.930999077719381e+193 -9.641198085347833e-163)0-(*.f64 #s(literal 4 binary64) (*.f64 b b))
00-0-#s(literal 2 binary64)
00-0-b
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult!: 8.0ms (48.8% of total)
ival-pow2: 6.0ms (36.6% of total)
ival-add!: 2.0ms (12.2% of total)
ival-sub!: 1.0ms (6.1% of total)
adjust: 0.0ms (0% of total)

preprocess34.0ms (1%)

Memory
-35.8MiB live, 62.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032104
198104
2265104
3715104
42356102
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 34 to 24 computations (29.4% saved)

series9.0ms (0.3%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms collecting garbage
Counts
12 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Calls

6 calls:

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

rewrite265.0ms (7.9%)

Memory
12.3MiB live, 285.0MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361221
01481209
18001161
084811049
Stop Event
iter-limit
node-limit
iter-limit
Counts
55 → 287
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64))))
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(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
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(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
a
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(*.f64 (*.f64 #s(literal 1 binary64) b) b)
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(*.f64 (neg.f64 b) (neg.f64 b))
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(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
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(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
b
#s(literal 2 binary64)
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(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(literal 1 binary64)
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 b b))
#s(approx (+ (* a a) (* b b)) (fma.f64 b b (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (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))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 a #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) 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))))
#s(approx (+ (* a a) (* b b)) (*.f64 a a))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (* 4 (* b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 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))))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))

eval49.0ms (1.5%)

Memory
-16.1MiB live, 89.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 7 675 to 1 290 computations (83.2% saved)

prune8.0ms (0.2%)

Memory
25.3MiB live, 25.3MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3188326
Fresh000
Picked101
Done000
Total3198327
Accuracy
100.0%
Counts
327 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
36.6%
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
89.8%
(-.f64 (+.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
88.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
88.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
43.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 434 to 250 computations (42.4% saved)

series33.0ms (1%)

Memory
-24.7MiB live, 68.4MiB allocated; 7ms collecting garbage
Counts
28 → 161
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 b b)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
Outputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 2) (+ 4 (pow b 2)))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* b (+ 4 (pow b 2)))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 4))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 (+ 4 (* 2 (pow a 2)))))
#s(approx (pow a 4) #s(hole binary64 (pow a 4)))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (/ (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2)) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (/ (pow b 8) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (- (+ (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* (pow a 2) (- (+ (* 2 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* 4 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow b 8) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (/ (pow b 8) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (- (+ (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* (pow a 2) (- (+ (* 2 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* 4 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* (pow a 2) (- (+ (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 3))) (* 4 (/ (pow b 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))) (+ (* 2 (/ (* (pow b 2) (- (+ (* 2 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* 4 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow b 8) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 4 (/ (pow b 6) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow b 8) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (/ (pow b 8) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* 4 (* (pow a 2) (pow b 6))) (pow b 8)) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (* 4 (pow b 4)))))) (pow b 8)) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow b 4))))))) (pow b 8)) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (pow b 8)))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* 4 (* (pow a 2) (pow b 6))) (pow b 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (* 4 (pow b 4)))))) (pow b 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow b 4))))))) (pow b 8))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ 1 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))) (* 4 (pow b 2)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ 1 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) (* 4 (pow b 2)))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* 2 (* (pow a 2) b))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (* 2 (pow a 2))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 (* 2 (pow a 2))))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow a 4)))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 4) (- (+ 1 (* 4 (/ (pow b 2) (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (* 4 (/ (pow b 4) (pow a 4))))))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (pow b 2)) (* 2 (pow b 2)))) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (/ 1 (pow a 4)) (/ (pow b 4) (pow a 4)))))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (+ (* 4 (/ (pow b 4) (pow a 4))) (* 4 (/ (pow b 6) (pow a 6)))))))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (pow b 2)) (* 2 (pow b 2)))) (pow a 4))) (+ (* 2 (/ (* (pow b 2) (- (+ (* 2 (pow b 4)) (+ (* 4 (pow b 2)) (* 4 (pow b 4)))) (+ 1 (+ (* 2 (* (pow b 2) (- (* 4 (pow b 2)) (* 2 (pow b 2))))) (pow b 4))))) (pow a 6))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (/ 1 (pow a 4)) (+ (/ (* (- (* 4 (pow b 2)) (* 2 (pow b 2))) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))) (pow a 6)) (/ (pow b 4) (pow a 4)))))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow a 8)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 8) (+ 1 (* 4 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 4) (pow a 4)))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 4) (pow a 4))) (* 4 (/ (pow b 6) (pow a 6))))))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (pow a 8)))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow a 8) (+ 1 (* 4 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 4) (pow a 4)))))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 4) (pow a 4))) (* 4 (/ (pow b 6) (pow a 6))))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (/ 1 (pow a 4)) (/ (pow b 4) (pow a 4))))) (* 4 (/ (pow b 2) (pow a 4)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 2) (+ 4 (* 2 (pow a 2))))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* b (+ 4 (* 2 (pow a 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (* 2 (pow a 2)))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (/ (- (pow a 8) 1) (+ 1 (pow a 4)))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (/ (pow a 8) (+ 1 (pow a 4)))) (/ 1 (+ 1 (pow a 4))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (+ (* 8 (/ 1 (+ 1 (pow a 4)))) (* (pow b 2) (- (+ (* 2 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* 4 (/ (pow a 4) (+ 1 (pow a 4)))) (/ 1 (pow (+ 1 (pow a 4)) 2)))) (+ (* 16 (/ 1 (+ 1 (pow a 4)))) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (+ 1 (pow a 4))) (/ (pow a 8) (pow (+ 1 (pow a 4)) 2)))))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (/ (pow a 8) (+ 1 (pow a 4)))) (/ 1 (+ 1 (pow a 4))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (+ (* 8 (/ 1 (+ 1 (pow a 4)))) (* (pow b 2) (- (+ (* 2 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* 4 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (+ 1 (pow a 4)))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 3))) (+ (* 4 (/ (pow a 6) (pow (+ 1 (pow a 4)) 2))) (+ (* 8 (/ 1 (pow (+ 1 (pow a 4)) 2))) (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 2 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* 4 (/ (pow a 4) (+ 1 (pow a 4)))) (/ 1 (pow (+ 1 (pow a 4)) 2)))) (+ (* 16 (/ 1 (+ 1 (pow a 4)))) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (+ 1 (pow a 4))) (/ (pow a 8) (pow (+ 1 (pow a 4)) 2)))))) (+ 1 (pow a 4))))))) (/ 1 (pow (+ 1 (pow a 4)) 2))))) (+ (* 16 (/ 1 (+ 1 (pow a 4)))) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (+ 1 (pow a 4))) (/ (pow a 8) (pow (+ 1 (pow a 4)) 2)))))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (/ (pow a 8) (+ 1 (pow a 4)))) (/ 1 (+ 1 (pow a 4))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (pow a 8) 1)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (+ 8 (* 4 (pow a 6)))) (pow a 8)) 1)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (+ 8 (+ (* 4 (pow a 6)) (* (pow b 2) (- (+ (* 2 (pow a 4)) (* 4 (pow a 4))) 16))))) (pow a 8)) 1)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (+ 8 (+ (* 4 (pow a 6)) (* (pow b 2) (- (+ (* 2 (pow a 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow a 4)))) 16))))) (pow a 8)) 1)))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* 4 (* (pow a 6) (pow b 2))) (pow a 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow b 2) (+ (* 4 (pow a 6)) (* (pow b 2) (+ (* 2 (pow a 4)) (* 4 (pow a 4)))))) (pow a 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow b 2) (+ (* 4 (pow a 6)) (* (pow b 2) (+ (* 2 (pow a 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow a 4))))))) (pow a 8))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 1))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (* -8 (pow b 2)))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 16 (pow b 2)) 8)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (pow a 4))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (+ (* (pow b 2) (- (* 2 (pow a 2)) 4)) (pow a 4)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (+ (* (pow b 2) (- (+ (* 2 (pow a 2)) (pow b 2)) 4)) (pow a 4)))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) 4) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (pow b 4)))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow b 4)))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (* 4 (/ 1 (pow b 2))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (/ 17 (pow b 4)) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow b 4)) (/ (pow a 4) (pow b 4)))))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 6) (pow b 6))) (+ (* 4 (/ 1 (pow b 2))) (* 8 (/ 1 (pow b 6))))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (/ 17 (pow b 4)) (+ (/ (* (+ 1 (pow a 4)) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow b 6)) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow b 4)) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 2 (pow a 4)) (* 4 (pow a 4))) (+ 17 (+ (* (- (* 2 (pow a 2)) 4) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow a 4))))) (pow b 6)) (/ (pow a 4) (pow b 4)))))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow b 8)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 8) (+ 1 (* 4 (/ (pow a 2) (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 8) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (* 4 (/ (pow a 4) (pow b 4)))))) (/ 16 (pow b 4))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 8) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 6) (pow b 6))) (* 8 (/ 1 (pow b 6)))))))) (/ 16 (pow b 4))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow b 8) (+ 1 (* 4 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow b 8) (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (* 4 (/ (pow a 4) (pow b 4)))))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow b 8) (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (* 4 (/ (pow a 6) (pow b 6))))))))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (* 16 (pow b 4))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- 16 (* 8 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 16 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (* 4 (/ 1 (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (/ (pow a 4) (pow b 4))))) (* 4 (/ 1 (pow b 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
a
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (pow (+ (* b b) (* a a)) 2))
6.0ms
b
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (pow (+ (* b b) (* a a)) 2))
5.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (pow (+ (* b b) (* a a)) 2))
5.0ms
b
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (pow (+ (* b b) (* a a)) 2))
3.0ms
b
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (pow (+ (* b b) (* a a)) 2))

rewrite197.0ms (5.9%)

Memory
25.7MiB live, 266.5MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06707336
07096365
146636353
081426152
Stop Event
iter-limit
node-limit
iter-limit
Counts
189 → 357
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 b b)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 2) (+ 4 (pow b 2)))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* b (+ 4 (pow b 2)))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 4))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 (+ 4 (* 2 (pow a 2)))))
#s(approx (pow a 4) #s(hole binary64 (pow a 4)))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (/ (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2)) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (/ (pow b 8) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (- (+ (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* (pow a 2) (- (+ (* 2 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* 4 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow b 8) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (/ (pow b 8) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (- (+ (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* (pow a 2) (- (+ (* 2 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* 4 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* (pow a 2) (- (+ (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 3))) (* 4 (/ (pow b 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))) (+ (* 2 (/ (* (pow b 2) (- (+ (* 2 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (+ (* 4 (/ (pow b 4) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow b 8) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 4 (/ (pow b 6) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (/ (pow b 6) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow b 8) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2)))))) (* 2 (/ (* (pow b 2) (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))) (pow (- (+ 1 (pow b 4)) (* 4 (pow b 2))) 2))))) (/ (pow b 8) (- (+ 1 (pow b 4)) (* 4 (pow b 2))))) (/ (pow (- (* 4 (pow b 2)) 1) 2) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (pow b 8) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* 4 (* (pow a 2) (pow b 6))) (pow b 8)) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (* 4 (pow b 4)))))) (pow b 8)) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow b 4))))))) (pow b 8)) (pow (- (* 4 (pow b 2)) 1) 2))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (pow b 8)))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* 4 (* (pow a 2) (pow b 6))) (pow b 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (* 4 (pow b 4)))))) (pow b 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow a 2) (+ (* 4 (pow b 6)) (* (pow a 2) (+ (* 2 (pow b 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow b 4))))))) (pow b 8))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ 1 (pow b 4)) (* 4 (pow b 2)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ 1 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))) (* 4 (pow b 2)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ 1 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) (* 4 (pow b 2)))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* 2 (* (pow a 2) b))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (* 2 (pow a 2))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 (* 2 (pow a 2))))
#s(approx (+ (* (* a a) 2) 4) #s(hole binary64 (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow a 4)))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 4) (- (+ 1 (* 4 (/ (pow b 2) (pow a 2)))) (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (* 4 (/ (pow b 4) (pow a 4))))))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (pow b 2)) (* 2 (pow b 2)))) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (/ 1 (pow a 4)) (/ (pow b 4) (pow a 4)))))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (+ (* 4 (/ (pow b 4) (pow a 4))) (* 4 (/ (pow b 6) (pow a 6)))))))) (+ (* 2 (/ (* (pow b 2) (- (* 4 (pow b 2)) (* 2 (pow b 2)))) (pow a 4))) (+ (* 2 (/ (* (pow b 2) (- (+ (* 2 (pow b 4)) (+ (* 4 (pow b 2)) (* 4 (pow b 4)))) (+ 1 (+ (* 2 (* (pow b 2) (- (* 4 (pow b 2)) (* 2 (pow b 2))))) (pow b 4))))) (pow a 6))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (/ 1 (pow a 4)) (+ (/ (* (- (* 4 (pow b 2)) (* 2 (pow b 2))) (- (+ 1 (pow b 4)) (* 4 (pow b 2)))) (pow a 6)) (/ (pow b 4) (pow a 4)))))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow a 8)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 8) (+ 1 (* 4 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 4) (pow a 4)))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 4) (pow a 4))) (* 4 (/ (pow b 6) (pow a 6))))))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (pow a 8)))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow a 8) (+ 1 (* 4 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (* 4 (/ (pow b 4) (pow a 4)))))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow a 8) (+ 1 (+ (* 2 (/ (pow b 4) (pow a 4))) (+ (* 4 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 4) (pow a 4))) (* 4 (/ (pow b 6) (pow a 6))))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (/ 1 (pow a 4)) (/ (pow b 4) (pow a 4))))) (* 4 (/ (pow b 2) (pow a 4)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 2) (+ 4 (* 2 (pow a 2))))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* b (+ 4 (* 2 (pow a 2))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (* 2 (pow a 2)))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (/ (- (pow a 8) 1) (+ 1 (pow a 4)))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (/ (pow a 8) (+ 1 (pow a 4)))) (/ 1 (+ 1 (pow a 4))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (+ (* 8 (/ 1 (+ 1 (pow a 4)))) (* (pow b 2) (- (+ (* 2 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* 4 (/ (pow a 4) (+ 1 (pow a 4)))) (/ 1 (pow (+ 1 (pow a 4)) 2)))) (+ (* 16 (/ 1 (+ 1 (pow a 4)))) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (+ 1 (pow a 4))) (/ (pow a 8) (pow (+ 1 (pow a 4)) 2)))))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (/ (pow a 8) (+ 1 (pow a 4)))) (/ 1 (+ 1 (pow a 4))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (+ (* 8 (/ 1 (+ 1 (pow a 4)))) (* (pow b 2) (- (+ (* 2 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* 4 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* (pow b 2) (- (+ (* 4 (/ (pow a 2) (+ 1 (pow a 4)))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 3))) (+ (* 4 (/ (pow a 6) (pow (+ 1 (pow a 4)) 2))) (+ (* 8 (/ 1 (pow (+ 1 (pow a 4)) 2))) (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 2 (/ (pow a 4) (+ 1 (pow a 4)))) (+ (* 4 (/ (pow a 4) (+ 1 (pow a 4)))) (/ 1 (pow (+ 1 (pow a 4)) 2)))) (+ (* 16 (/ 1 (+ 1 (pow a 4)))) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (+ 1 (pow a 4))) (/ (pow a 8) (pow (+ 1 (pow a 4)) 2)))))) (+ 1 (pow a 4))))))) (/ 1 (pow (+ 1 (pow a 4)) 2))))) (+ (* 16 (/ 1 (+ 1 (pow a 4)))) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 4 (/ (pow a 6) (+ 1 (pow a 4)))) (* 8 (/ 1 (+ 1 (pow a 4))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (+ 1 (pow a 4))) (/ (pow a 8) (pow (+ 1 (pow a 4)) 2)))))))) (/ (* (- (* 2 (pow a 2)) 4) (- (pow a 8) 1)) (pow (+ 1 (pow a 4)) 2)))) (/ (pow a 8) (+ 1 (pow a 4)))) (/ 1 (+ 1 (pow a 4))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (pow a 8) 1)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (+ 8 (* 4 (pow a 6)))) (pow a 8)) 1)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (+ 8 (+ (* 4 (pow a 6)) (* (pow b 2) (- (+ (* 2 (pow a 4)) (* 4 (pow a 4))) 16))))) (pow a 8)) 1)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (- (+ (* (pow b 2) (+ 8 (+ (* 4 (pow a 6)) (* (pow b 2) (- (+ (* 2 (pow a 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow a 4)))) 16))))) (pow a 8)) 1)))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* 4 (* (pow a 6) (pow b 2))) (pow a 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow b 2) (+ (* 4 (pow a 6)) (* (pow b 2) (+ (* 2 (pow a 4)) (* 4 (pow a 4)))))) (pow a 8))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (+ (* (pow b 2) (+ (* 4 (pow a 6)) (* (pow b 2) (+ (* 2 (pow a 4)) (+ (* 4 (* (pow a 2) (pow b 2))) (* 4 (pow a 4))))))) (pow a 8))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 1))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (* -8 (pow b 2)))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (* (pow b 2) (- (* 16 (pow b 2)) 8)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (pow a 4))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (+ (* (pow b 2) (- (* 2 (pow a 2)) 4)) (pow a 4)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (+ 1 (+ (* (pow b 2) (- (+ (* 2 (pow a 2)) (pow b 2)) 4)) (pow a 4)))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) 4) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (pow b 4)))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow b 4)))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 4 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (* 4 (/ 1 (pow b 2))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (/ 17 (pow b 4)) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow b 4)) (/ (pow a 4) (pow b 4)))))))))
#s(approx (/ (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 6) (pow b 6))) (+ (* 4 (/ 1 (pow b 2))) (* 8 (/ 1 (pow b 6))))))))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (/ 17 (pow b 4)) (+ (/ (* (+ 1 (pow a 4)) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow b 6)) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow b 4)) (+ (/ (* (- (* 2 (pow a 2)) 4) (- (+ (* 2 (pow a 4)) (* 4 (pow a 4))) (+ 17 (+ (* (- (* 2 (pow a 2)) 4) (- (+ 4 (* 4 (pow a 2))) (* 2 (pow a 2)))) (pow a 4))))) (pow b 6)) (/ (pow a 4) (pow b 4)))))))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (pow b 8)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 8) (+ 1 (* 4 (/ (pow a 2) (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 8) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (* 4 (/ (pow a 4) (pow b 4)))))) (/ 16 (pow b 4))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) #s(hole binary64 (* (pow b 8) (- (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 6) (pow b 6))) (* 8 (/ 1 (pow b 6)))))))) (/ 16 (pow b 4))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow b 8) (+ 1 (* 4 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow b 8) (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (* 4 (/ (pow a 4) (pow b 4)))))))))
#s(approx (pow (+ (* b b) (* a a)) 4) #s(hole binary64 (* (pow b 8) (+ 1 (+ (* 2 (/ (pow a 4) (pow b 4))) (+ (* 4 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (pow a 4) (pow b 4))) (* 4 (/ (pow a 6) (pow b 6))))))))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (* 16 (pow b 4))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- 16 (* 8 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 16 (/ 1 (pow b 4))) (* 8 (/ 1 (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 2 (/ (pow a 2) (pow b 2)))) (* 4 (/ 1 (pow b 2)))))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (/ 1 (pow b 4)) (/ (pow a 4) (pow b 4))))) (* 4 (/ 1 (pow b 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* b b) (* a a)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))))
Outputs
(/.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(fma.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fma.f64 a a (*.f64 b b))) (fabs.f64 (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))))
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 a a) (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #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 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a a))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 b b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
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(pow.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64))
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(-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))))
(*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (fabs.f64 (fma.f64 a a (*.f64 b b))) (fabs.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(/.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)))
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(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
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#s(approx (+ (* b b) (* a a)) (*.f64 b b))
#s(approx (+ (* b b) (* a a)) (fma.f64 a a (*.f64 b b)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
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#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
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#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) b (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b #s(literal 4 binary64)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))))
#s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))
#s(approx (+ (* (* a a) 2) 4) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
#s(approx (pow a 4) (pow.f64 a #s(literal 4 binary64)))
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(*.f64 b b) #s(literal 4 binary64))))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 b b) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))))) (fma.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 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#s(literal 2 binary64)))) (*.f64 a a) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (*.f64 b b) (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal 2 binary64) (/.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))))) (*.f64 a a) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 a a) (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (fma.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 a a) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (*.f64 a a) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (*.f64 a a) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
#s(approx (pow (+ (* b b) (* a a)) 4) (pow.f64 b #s(literal 8 binary64)))
#s(approx (pow (+ (* b b) (* a a)) 4) (fma.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 8 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (fma.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 6 binary64)) (*.f64 a a) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (*.f64 a a) (pow.f64 b #s(literal 8 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (fma.f64 (fma.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (*.f64 a a) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (*.f64 a a) (pow.f64 b #s(literal 8 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
#s(approx (pow (+ (* b b) (* a a)) 2) (pow.f64 b #s(literal 4 binary64)))
#s(approx (pow (+ (* b b) (* a a)) 2) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 2) (fma.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal 4 binary64) (/.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.f64 a #s(literal 4 binary64))))
#s(approx (+ (* b b) (* a a)) (*.f64 a a))
#s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal 4 binary64) (/.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.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal 4 binary64) (/.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))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 a a))) (*.f64 a a)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (+.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 b b) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
#s(approx (+ (* (* a a) 2) 4) (*.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (*.f64 a a)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 4 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 a a))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))) #s(literal 1 binary64)) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 b b) (pow.f64 a #s(literal 4 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (pow.f64 b #s(literal 4 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)) (+.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 b b (pow.f64 b #s(literal 4 binary64))))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) (pow.f64 a #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (pow.f64 a #s(literal 6 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (pow.f64 a #s(literal 8 binary64)))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (*.f64 (pow.f64 a #s(literal 8 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a 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 8 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (pow.f64 b #s(literal 4 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 a #s(literal 8 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (pow.f64 a #s(literal 8 binary64)))
#s(approx (pow (+ (* b b) (* a a)) 4) (*.f64 (pow.f64 a #s(literal 8 binary64)) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 b b) (*.f64 a 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 8 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (pow.f64 b #s(literal 4 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 a #s(literal 8 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 2) (pow.f64 a #s(literal 4 binary64)))
#s(approx (pow (+ (* b b) (* a a)) 2) (*.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 2) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (-.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx b b)
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(approx (+ (* (* b b) 4) -1) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(approx (+ (* b b) 4) (fma.f64 b b #s(literal 4 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)))
#s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
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#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 8 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 4) (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 (pow.f64 b #s(literal -6 binary64)) #s(literal 8 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 8 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 b #s(literal 8 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (*.f64 a a) (*.f64 b 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 8 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 4) (*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))) #s(literal 1 binary64)) (pow.f64 b #s(literal 8 binary64))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 8 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* (* b b) 4) -1) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 b #s(literal -4 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 8 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (pow (+ (* b b) (* a a)) 2) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 2) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* b b) (* a a)) 2) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64) #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))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval62.0ms (1.9%)

Memory
6.6MiB live, 141.7MiB allocated; 15ms collecting garbage
Compiler

Compiled 25 217 to 2 043 computations (91.9% saved)

prune19.0ms (0.6%)

Memory
-11.9MiB live, 40.7MiB allocated; 9ms collecting garbage
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New62210632
Fresh213
Picked415
Done000
Total62812640
Accuracy
100.0%
Counts
640 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
99.9%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
88.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))) b)) #s(literal 1 binary64))
71.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
56.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (*.f64 a a))) (*.f64 a a))) b)) #s(literal 1 binary64))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
53.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
43.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
28.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 671 to 403 computations (39.9% saved)

series11.0ms (0.3%)

Memory
-24.4MiB live, 23.0MiB allocated; 1ms collecting garbage
Counts
20 → 75
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 a a (*.f64 b b))
(*.f64 b b)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
(fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
Outputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (* (* a a) (* a a)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 -1))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (* 4 b)))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (* b (+ 4 (pow b 2)))))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* b b) 4) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
Calls

6 calls:

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

rewrite187.0ms (5.6%)

Memory
40.2MiB live, 318.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922110
02141917
110351828
088191782
Stop Event
iter-limit
node-limit
iter-limit
Counts
95 → 711
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 a a (*.f64 b b))
(*.f64 b b)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
(fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (* (* a a) (* a a)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 -1))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (* 4 b)))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (* b (+ 4 (pow b 2)))))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* b (* (+ (* b b) 4) b)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* b b) 4) b) #s(hole binary64 (* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* b b) 4) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (neg.f64 a)) (neg.f64 a) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fabs.f64 a)) (fabs.f64 a) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (neg.f64 b)) (neg.f64 b) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (fabs.f64 b)) (fabs.f64 b) (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) b) b (fma.f64 (*.f64 (fma.f64 b b (*.f64 a a)) a) a (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
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#s(approx (* a a) (*.f64 a a))
#s(approx a a)
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#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 b #s(literal -2 binary64))) b) b))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* b b) 4) b) (pow.f64 b #s(literal 3 binary64)))
#s(approx (* (+ (* b b) 4) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))))
#s(approx (+ (* b b) 4) (*.f64 b b))
#s(approx (+ (* b b) 4) (*.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) b) b))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))

eval167.0ms (5%)

Memory
-38.1MiB live, 262.1MiB allocated; 109ms collecting garbage
Compiler

Compiled 28 997 to 2 213 computations (92.4% saved)

prune24.0ms (0.7%)

Memory
17.1MiB live, 64.3MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1 04281 050
Fresh156
Picked235
Done011
Total1 045171 062
Accuracy
100.0%
Counts
1 062 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
85.2%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
84.4%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
81.6%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
83.0%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
71.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
56.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (*.f64 a a))) (*.f64 a a))) b)) #s(literal 1 binary64))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
53.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (-.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) b)) #s(literal -1 binary64)))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
43.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
28.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 916 to 547 computations (40.3% saved)

series19.0ms (0.6%)

Memory
1.0MiB live, 47.9MiB allocated; 1ms collecting garbage
Counts
25 → 66
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 a a (*.f64 b b))
(*.f64 b b)
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
(*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 a a) (neg.f64 a))
(neg.f64 a)
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (+ (* a a) (* b b)) (*.f64 b b))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
#s(literal 1 binary64)
Outputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (* (* (* a a) (neg a)) (neg a)) #s(hole binary64 (pow a 4)))
#s(approx (* (* a a) (neg a)) #s(hole binary64 (* -1 (pow a 3))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) 4) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* a a) (* b b)) (* b b) (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) (neg a)) (neg a)) (* (* a a) (neg a)) (neg a) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1)
3.0ms
a
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* a a) (* b b)) (* b b) (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) (neg a)) (neg a)) (* (* a a) (neg a)) (neg a) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1)
2.0ms
a
@0
((+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* a a) (* b b)) (* b b) (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) (neg a)) (neg a)) (* (* a a) (neg a)) (neg a) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1)
2.0ms
b
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* a a) (* b b)) (* b b) (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) (neg a)) (neg a)) (* (* a a) (neg a)) (neg a) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1)
2.0ms
b
@inf
((+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* a a) (* b b)) (* b b) (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* (* a a) (neg a)) (neg a)) (* (* a a) (neg a)) (neg a) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) (+ (* a a) (* b b)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1)

rewrite173.0ms (5.1%)

Memory
-14.0MiB live, 274.2MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911792
02231631
110831601
083051506
Stop Event
iter-limit
node-limit
iter-limit
Counts
91 → 468
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 a a (*.f64 b b))
(*.f64 b b)
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
(*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 a a) (neg.f64 a))
(neg.f64 a)
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (+ (* a a) (* b b)) (*.f64 b b))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
#s(literal 1 binary64)
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (* (* (* a a) (neg a)) (neg a)) #s(hole binary64 (pow a 4)))
#s(approx (* (* a a) (neg a)) #s(hole binary64 (* -1 (pow a 3))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx b #s(hole binary64 b))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* a a) (* b b))) (+ (* (* b b) 4) -1)) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) (* a a)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))))
#s(approx (+ (* b b) 4) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 (* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Outputs
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64))) (fma.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))))
(fma.f64 (fabs.f64 (fma.f64 a a (*.f64 b b))) (fabs.f64 (fma.f64 a a (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (fma.f64 a a (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))
(-.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (fma.f64 a a (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))) (/.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))))
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(+.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 a a (*.f64 (neg.f64 b) b))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (+.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 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a (*.f64 (neg.f64 b) b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 (neg.f64 a) a)))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #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 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 (fabs.f64 a) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal -1 binary64)) (*.f64 (fabs.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 (fabs.f64 a) #s(literal -1 binary64)) (*.f64 (fabs.f64 a) #s(literal -1 binary64)) (*.f64 b b))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 b b))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (*.f64 b b))
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b
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a
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(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
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#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal -4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (+.f64 (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (* (* (* a a) (neg a)) (neg a)) (pow.f64 a #s(literal 4 binary64)))
#s(approx (* (* a a) (neg a)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
#s(approx (neg a) (neg.f64 a))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 b b))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (fma.f64 a a (*.f64 b b)))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a b) (/ a b)) 1) (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (/ a b) (/.f64 a b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 a a))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ (* a a) (* b b)) (*.f64 a a))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal -4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 a a))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ (* (/ a b) (/ a b)) 1) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))
#s(approx (+ (* (/ a b) (/ a b)) 1) (fma.f64 (*.f64 a a) (pow.f64 b #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal -4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx b b)
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(approx (+ (* (* b b) 4) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (-.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal -4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(approx (+ (* b b) 4) (fma.f64 b b #s(literal 4 binary64)))
#s(approx (+ (* (/ a b) (/ a b)) 1) (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 b b)))
#s(approx (+ (* a a) (* b b)) (*.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 b b)))
#s(approx (+ (* (* b b) 4) -1) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(approx (+ (* (* b b) 4) -1) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 b #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (-.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* b b) 4) (*.f64 b b))
#s(approx (+ (* b b) 4) (*.f64 (fma.f64 (pow.f64 b #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 b b)))

eval88.0ms (2.6%)

Memory
0.0MiB live, 194.7MiB allocated; 18ms collecting garbage
Compiler

Compiled 26 884 to 1 826 computations (93.2% saved)

prune22.0ms (0.6%)

Memory
8.5MiB live, 55.8MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New7472749
Fresh178
Picked145
Done044
Total74917766
Accuracy
100.0%
Counts
766 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
81.6%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
83.0%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
68.0%
(fma.f64 #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a))) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
68.5%
(fma.f64 #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
71.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
56.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (*.f64 a a))) (*.f64 a a))) b)) #s(literal 1 binary64))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
53.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (-.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) b)) #s(literal -1 binary64)))
71.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
43.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
43.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
28.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 378 to 436 computations (68.4% saved)

regimes46.0ms (1.4%)

Memory
-2.9MiB live, 95.7MiB allocated; 5ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (-.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))) b)) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a))) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 #s(literal 2 binary64) b (/.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (*.f64 a a))) (*.f64 a a))) b)) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(-.f64 (+.f64 (fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
Calls

6 calls:

9.0ms
a
8.0ms
(*.f64 a a)
8.0ms
b
7.0ms
(*.f64 b b)
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
99.9%1(*.f64 b b)
99.9%1(*.f64 a a)
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.9%1a
99.9%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes29.0ms (0.9%)

Memory
12.8MiB live, 60.0MiB allocated; 2ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (-.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 b #s(literal 4 binary64) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))) b)) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
Calls

6 calls:

6.0ms
a
5.0ms
b
4.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
4.0ms
(*.f64 b b)
4.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.8%1(*.f64 b b)
98.8%1(*.f64 a a)
98.8%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
98.8%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
98.8%1a
98.8%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes24.0ms (0.7%)

Memory
2.1MiB live, 49.0MiB allocated; 3ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (-.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
Calls

6 calls:

5.0ms
a
4.0ms
b
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
3.0ms
(*.f64 b b)
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.4%2(*.f64 b b)
98.3%2(*.f64 a a)
88.6%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
88.6%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
98.3%2a
98.4%2b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes16.0ms (0.5%)

Memory
-12.8MiB live, 34.3MiB allocated; 2ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (-.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (*.f64 (neg.f64 b) b) b)) #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* a a) (* b b)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
Calls

4 calls:

5.0ms
(*.f64 b b)
4.0ms
a
4.0ms
b
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.3%2(*.f64 a a)
98.3%2a
97.3%2(*.f64 b b)
97.3%2b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes13.0ms (0.4%)

Memory
-22.4MiB live, 28.2MiB allocated; 2ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
Calls

4 calls:

4.0ms
(*.f64 b b)
3.0ms
a
3.0ms
b
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
71.5%1(*.f64 b b)
71.5%1b
93.5%2(*.f64 a a)
93.5%2a
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.2%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a)))
Calls

2 calls:

3.0ms
a
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
93.5%2(*.f64 a a)
93.5%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

3.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
93.5%2(*.f64 a a)
93.5%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

2.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
93.5%2(*.f64 a a)
93.5%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.2%)

Memory
-37.3MiB live, 10.0MiB allocated; 2ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) (*.f64 b b)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

3.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
92.4%2(*.f64 a a)
92.4%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 b (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

2.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
92.4%2(*.f64 a a)
92.4%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes6.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

4 calls:

2.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 a a)
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
71.2%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
71.2%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
83.1%2(*.f64 a a)
83.1%2a
Compiler

Compiled 36 to 27 computations (25% saved)

regimes8.0ms (0.2%)

Memory
-28.3MiB live, 19.0MiB allocated; 2ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

6 calls:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
a
1.0ms
b
1.0ms
(*.f64 b b)
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
53.2%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
53.2%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
53.2%1(*.f64 b b)
53.2%1b
53.2%1(*.f64 a a)
53.2%1a
Compiler

Compiled 40 to 32 computations (20% saved)

regimes6.0ms (0.2%)

Memory
16.9MiB live, 16.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
b
1.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 a a)
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
28.7%1(*.f64 b b)
28.7%1(*.f64 a a)
28.7%1a
28.7%1b
28.7%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
28.7%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch13.0ms (0.4%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
9.933849595089162e-8
0.0018232370071143754
Samples
6.0ms128×0valid
Compiler

Compiled 492 to 320 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (52.8% of total)
ival-pow2: 1.0ms (26.4% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch16.0ms (0.5%)

Memory
-17.8MiB live, 29.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
613.1837578971343
22468268780.677586
Samples
9.0ms144×0valid
Compiler

Compiled 569 to 349 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (45% of total)
ival-add!: 1.0ms (22.5% of total)
ival-pow2: 1.0ms (22.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch8.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
3.2353665026303875e+41
6.828965100064904e+41
Samples
4.0ms80×0valid
Compiler

Compiled 325 to 211 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-pow2: 1.0ms (42.7% of total)
ival-mult!: 1.0ms (42.7% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.2353665026303875e+41
6.828965100064904e+41
Compiler

Compiled 290 to 201 computations (30.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.2353665026303875e+41
6.828965100064904e+41
Compiler

Compiled 280 to 191 computations (31.8% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.2353665026303875e+41
6.828965100064904e+41
Compiler

Compiled 280 to 191 computations (31.8% saved)

bsearch3.0ms (0.1%)

Memory
-47.7MiB live, 2.2MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
3.2353665026303875e+41
6.828965100064904e+41
Compiler

Compiled 305 to 191 computations (37.4% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.2353665026303875e+41
6.828965100064904e+41
Compiler

Compiled 305 to 196 computations (35.7% saved)

bsearch10.0ms (0.3%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
22468268780.677586
94426320605.37979
Samples
5.0ms96×0valid
Compiler

Compiled 350 to 232 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-pow2: 1.0ms (33.8% of total)
ival-mult!: 1.0ms (33.8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations578.0ms (17.2%)

Memory
55.1MiB live, 557.7MiB allocated; 62ms collecting garbage
Stop Event
fuel
Compiler

Compiled 646 to 85 computations (86.8% saved)

preprocess125.0ms (3.7%)

Memory
-42.2MiB live, 158.0MiB allocated; 49ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 4 998 to 1 888 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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