Bouland and Aaronson, Equation (26)

Time bar (total: 2.8s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample895.0ms (31.7%)

Memory
45.6MiB live, 1 251.0MiB allocated; 301ms collecting garbage
Samples
652.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 383.0ms
ival-mult!: 234.0ms (61.1% of total)
ival-pow2: 94.0ms (24.6% of total)
ival-add!: 33.0ms (8.6% of total)
ival-sub!: 20.0ms (5.2% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain159.0ms (5.6%)

Memory
-10.6MiB live, 236.9MiB allocated; 31ms 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)
00-0-(*.f64 #s(literal 4 binary64) (*.f64 b b))
00-0-#s(literal 2 binary64)
00-0-b
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
49.0ms512×0valid
Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult!: 7.0ms (43% of total)
ival-pow2: 6.0ms (36.8% of total)
ival-add!: 2.0ms (12.3% of total)
ival-sub!: 1.0ms (6.1% of total)
adjust: 0.0ms (0% of total)

preprocess29.0ms (1%)

Memory
41.2MiB live, 41.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032104
198104
2265104
3715104
42356102
Stop Event
1×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)

series14.0ms (0.5%)

Memory
-29.2MiB live, 19.0MiB allocated; 5ms 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
6.0ms
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)
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)
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
@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)

rewrite188.0ms (6.7%)

Memory
16.4MiB live, 246.9MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361221
01481209
18001161
084961049
Stop Event
1×iter-limit
1×node-limit
1×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)))

eval40.0ms (1.4%)

Memory
25.5MiB live, 71.4MiB allocated; 3ms collecting garbage
Compiler

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

prune9.0ms (0.3%)

Memory
-28.5MiB live, 18.0MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3206326
Fresh000
Picked101
Done000
Total3216327
Accuracy
100.0%
Counts
327 → 6
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)))
79.8%
(-.f64 (+.f64 #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)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶86.9%
#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)))
▶73.0%
#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)))
▶49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
▶43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 296 to 194 computations (34.5% saved)

series15.0ms (0.5%)

Memory
26.3MiB live, 26.3MiB allocated; 0ms collecting garbage
Counts
22 → 79
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))
#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 (*.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 (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(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))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)))
#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 (+ (* (+ (* 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (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 (+ (* (+ (* 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)))
#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 4) #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)))
#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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#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 (* (+ (* 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
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) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4))
2.0ms
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) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4))
2.0ms
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) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4))
2.0ms
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) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4))
2.0ms
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) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4))

rewrite274.0ms (9.7%)

Memory
-13.9MiB live, 220.3MiB allocated; 170ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02302144
02511953
112941936
080701894
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
101 → 315
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))
#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 (*.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 (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(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))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)))
#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 (+ (* (+ (* 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (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 (+ (* (+ (* 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)))
#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 4) #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)))
#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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#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 (* (+ (* 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 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 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 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #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 a a (*.f64 b b)) #s(literal 4 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 (+.f64 (pow.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 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.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 2 binary64)) (-.f64 #s(literal 1 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)))))
(/.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 (neg.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)))) (neg.f64 (+.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 (-.f64 (pow.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 2 binary64)) #s(literal 1 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)))
(/.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))))
(/.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))))))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (neg.f64 (neg.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 (fabs.f64 (fma.f64 a a (*.f64 b b)))) (neg.f64 (fabs.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 (fabs.f64 (fma.f64 a a (*.f64 b b)))) (fabs.f64 (fabs.f64 (fma.f64 a a (*.f64 b b)))) (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 (/.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 (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 (*.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 (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))
(+.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 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 4 binary64)) (*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b))) (fma.f64 a a (*.f64 (neg.f64 b) b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a))) (fma.f64 b b (*.f64 (neg.f64 a) a)))
(/.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)) (fma.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b) (*.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)) (fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a) (*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 a a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 a a) (*.f64 b b))))
(/.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 (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 (-.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 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 a a) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 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)))))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b b))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 a a))))
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(+.f64 (*.f64 b b) (*.f64 a a))
b
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
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a
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#s(literal 4 binary64)
#s(literal -1 binary64)
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(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (/.f64 #s(literal 64 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
(+.f64 (/.f64 #s(literal 64 binary64) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
(+.f64 (*.f64 b b) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
#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)))
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(fma.f64 #s(literal 4 binary64) b (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b))
(fma.f64 b #s(literal 4 binary64) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))))
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(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))))))
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(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (neg.f64 b) (neg.f64 b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
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(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))))
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(+.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 4 binary64))
(+.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (*.f64 #s(literal -2 binary64) (*.f64 a a)))) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a a))))
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(/.f64 (+.f64 #s(literal 64 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
(fma.f64 a (*.f64 a #s(literal 2 binary64)) #s(literal 4 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))))
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 a a)))
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(+.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (neg.f64 (*.f64 a a)) (neg.f64 (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 4 binary64))
(pow.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.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 (neg.f64 (*.f64 b b)) (neg.f64 (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 4 binary64))
(pow.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 b #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* 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) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (-.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) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (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(literal 1 binary64)))
#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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) #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 (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(literal 1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -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) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (-.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) (+ (* (* 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)))
#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) a) (/.f64 #s(literal 2 binary64) a) #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 #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 (+ (* b b) (* a a)) (*.f64 a a))
#s(approx (+ (* b b) (* a a)) (*.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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 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 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.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 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) (*.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)) (-.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)) (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 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) (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 (+ (* (* 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (-.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (-.f64 (*.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 (* (+ (* 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 (pow b 4) (pow.f64 b #s(literal 4 binary64)))
#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 (*.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 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (-.f64 (+.f64 (+.f64 (/.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)) (pow.f64 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) (* a a)) (*.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 #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)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (-.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))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
#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)))))

eval67.0ms (2.4%)

Memory
11.9MiB live, 112.2MiB allocated; 26ms collecting garbage
Compiler

Compiled 14 940 to 1 427 computations (90.4% saved)

prune13.0ms (0.5%)

Memory
-17.2MiB live, 30.1MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New4437450
Fresh101
Picked235
Done000
Total44610456
Accuracy
100.0%
Counts
456 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64)))
73.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
✓73.0%
#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)))
▶54.8%
#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)))
70.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b #s(literal -1 binary64)))
✓49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
▶49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
▶43.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
▶24.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 561 to 336 computations (40.1% saved)

series12.0ms (0.4%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Counts
22 → 59
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
b
#s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -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)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
#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 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)))
#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 (* (* a a) 2) #s(hole binary64 (* 2 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (* (* a a) (* a a)) #s(hole binary64 (pow a 4)))
#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) 2) 4)) b) b) -1) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (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 (+ (* 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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)))
#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 b #s(hole binary64 b))
#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) #s(hole binary64 (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) (* b b)) #s(hole binary64 (pow b 4)))
#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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#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 (+ (* (* 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 (* (+ (* 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
2.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) b (+ (* (* a a) 2) 4) (* (* a a) 2) (* a a) a 2 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (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 b)))
2.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) b (+ (* (* a a) 2) 4) (* (* a a) 2) (* a a) a 2 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (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 b)))
2.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) b (+ (* (* a a) 2) 4) (* (* a a) 2) (* a a) a 2 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (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 b)))
2.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) b (+ (* (* a a) 2) 4) (* (* a a) 2) (* a a) a 2 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (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 b)))
1.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) b (+ (* (* a a) 2) 4) (* (* a a) 2) (* a a) a 2 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (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 b)))

rewrite236.0ms (8.4%)

Memory
-37.3MiB live, 206.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01981749
02111661
112001651
081881472
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
81 → 208
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
b
#s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -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)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
#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 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
#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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)))
#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 (* (* a a) 2) #s(hole binary64 (* 2 (pow a 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (* (* a a) (* a a)) #s(hole binary64 (pow a 4)))
#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) 2) 4)) b) b) -1) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (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 (+ (* 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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)))
#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 b #s(hole binary64 b))
#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) #s(hole binary64 (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) (* b b)) #s(hole binary64 (pow b 4)))
#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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#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 (+ (* (* 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 (* (+ (* 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
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (*.f64 b b)))
(*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b)
(*.f64 b (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b)))))
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b
#s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
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a
#s(literal 2 binary64)
#s(literal -1 binary64)
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#s(approx (+ (* b b) 4) #s(literal 4 binary64))
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#s(approx (* (* a a) 2) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
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#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 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) (*.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 (- (+ (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 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (-.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 b b) (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (-.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal 1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (-.f64 (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))) #s(literal 1 binary64)))
#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)
#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) (*.f64 b b))
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(approx (+ (* b b) 4) (fma.f64 b b #s(literal 4 binary64)))
#s(approx (* (* b b) (* b b)) (pow.f64 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 (/.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)) (pow.f64 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) (+ (* (* a a) 2) 4)) b) b) -1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64))))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
#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 (* (+ (* 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)))))

eval63.0ms (2.2%)

Memory
17.3MiB live, 62.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 150 to 1 014 computations (90.9% saved)

prune13.0ms (0.5%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New3050305
Fresh022
Picked055
Done033
Total30510315
Accuracy
100.0%
Counts
315 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64)))
▶73.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
✓73.0%
#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)))
✓54.8%
#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)))
▶70.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b #s(literal -1 binary64)))
✓49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
✓43.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
✓24.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 315 to 192 computations (39% saved)

series34.0ms (1.2%)

Memory
-5.0MiB live, 42.2MiB allocated; 1ms collecting garbage
Counts
20 → 71
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b #s(literal -1 binary64)))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b #s(literal -1 binary64))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)))
(*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
a
(/.f64 b a)
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(*.f64 a a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b)
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
(*.f64 b b)
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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)))
#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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* b (+ 4 (pow b 2)))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (/ (* b (+ 4 (pow b 2))) (pow a 2))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (/ (+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) (pow a 2))))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (/ (+ 4 (pow b 2)) a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* a a) #s(hole binary64 (pow a 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 (- (+ (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) 2) 4)) b) b) -1) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* 2 (* (pow a 2) b))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* 2 b)))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (+ (* 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 (- (+ (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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)))
#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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* (pow a 2) (* b (+ 2 (* 4 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* b (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* b (+ 2 (* 4 (/ 1 (pow a 2)))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* b (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (/ 4 a)))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (+ (* 4 (/ 1 a)) (/ (pow b 2) a))))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx b #s(hole binary64 b))
#s(approx (* 2 b) #s(hole binary64 (* 2 b)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (* 2 (pow a 2)))))
#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 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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* (pow b 3) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (/ (pow b 3) (pow a 2))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* (pow b 3) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (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) 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 (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1)))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow a 2)))) (pow b 2))) (/ 1 (pow a 2)))))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (/ (+ (* b b) 4) a) (+ (* b b) 4) b 4 a (/ b a) (* 2 b) 2 (* a a) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b b))
6.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (/ (+ (* b b) 4) a) (+ (* b b) 4) b 4 a (/ b a) (* 2 b) 2 (* a a) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b b))
3.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (/ (+ (* b b) 4) a) (+ (* b b) 4) b 4 a (/ b a) (* 2 b) 2 (* a a) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b b))
3.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (/ (+ (* b b) 4) a) (+ (* b b) 4) b 4 a (/ b a) (* 2 b) 2 (* a a) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b b))
2.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (/ (+ (* b b) 4) a) (+ (* b b) 4) b 4 a (/ b a) (* 2 b) 2 (* a a) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b b))

rewrite166.0ms (5.9%)

Memory
-5.9MiB live, 221.2MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02422154
02582039
113852000
084181853
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
91 → 234
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b #s(literal -1 binary64)))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b #s(literal -1 binary64))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a)))
(*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 b b #s(literal 4 binary64)) a)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
a
(/.f64 b a)
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
(*.f64 a a)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b)
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
(*.f64 b b)
#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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (pow b 2))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)))
#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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* b (+ 4 (pow b 2)))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (/ (* b (+ 4 (pow b 2))) (pow a 2))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (/ (+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2)))) (pow a 2))))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (/ (+ 4 (pow b 2)) a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ b a) #s(hole binary64 (/ b a)))
#s(approx (* a a) #s(hole binary64 (pow a 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 (- (+ (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) 2) 4)) b) b) -1) #s(hole binary64 (* 2 (* (pow a 2) (pow b 2)))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* 2 (* (pow a 2) b))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* 2 b)))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (+ (* 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 (- (+ (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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 -1))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)))
#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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* (pow a 2) (* b (+ 2 (* 4 (/ 1 (pow a 2))))))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* b (+ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2)))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* b (+ 2 (* 4 (/ 1 (pow a 2)))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* b (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (/ 4 a)))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (+ (* 4 (/ 1 a)) (/ (pow b 2) a))))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx b #s(hole binary64 b))
#s(approx (* 2 b) #s(hole binary64 (* 2 b)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) #s(hole binary64 (+ 4 (* 2 (pow a 2)))))
#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 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) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#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) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* (pow b 3) (+ 1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (/ (pow b 3) (pow a 2))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* (pow b 3) (+ (/ 1 (pow a 2)) (+ (* 2 (/ 1 (pow b 2))) (/ 4 (* (pow a 2) (pow b 2))))))))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (/ (pow b 2) a)))
#s(approx (/ (+ (* b b) 4) a) #s(hole binary64 (* (pow b 2) (+ (/ 1 a) (* 4 (/ 1 (* a (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) 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 (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2))))) (pow b 2))) 1)))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 2 (* 4 (/ 1 (pow a 2)))) (pow b 2))) (/ 1 (pow a 2)))))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b)))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64)))))
(fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b #s(literal -1 binary64))
(fma.f64 b #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a)))
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#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) b) (/.f64 (*.f64 a a) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a a)))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (*.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 a #s(literal -2 binary64))) (pow.f64 b #s(literal 3 binary64))))
#s(approx (/ (+ (* b b) 4) a) (/.f64 (*.f64 b b) a))
#s(approx (/ (+ (* b b) 4) a) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) a) (pow.f64 b #s(literal -2 binary64)) (pow.f64 a #s(literal -1 binary64))) (*.f64 b b)))
#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 (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
#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)))))
#s(approx (* (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (* a a)) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) b) (/.f64 (*.f64 a a) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))))
#s(approx (+ (* (/ (+ (* b b) 4) a) (/ b a)) (* 2 b)) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) (*.f64 b b))) (pow.f64 a #s(literal -2 binary64))) (pow.f64 b #s(literal 3 binary64)))))

eval50.0ms (1.8%)

Memory
-7.4MiB live, 53.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 14 940 to 1 375 computations (90.8% saved)

prune11.0ms (0.4%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New2521253
Fresh000
Picked112
Done088
Total25310263
Accuracy
100.0%
Counts
263 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #s(literal -1 binary64)))
✓73.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
✓73.0%
#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)))
✓54.8%
#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)))
58.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b #s(literal -1 binary64)))
✓49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
✓43.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
✓49.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
✓43.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
✓24.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 776 to 277 computations (64.3% saved)

regimes37.0ms (1.3%)

Memory
-38.8MiB live, 53.2MiB allocated; 6ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -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) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) 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) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 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 #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)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 a a)) #s(literal 2 binary64)) b) (*.f64 a a))) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (*.f64 (fma.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) (/.f64 b a) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) 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 #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)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(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)))
Calls

6 calls:

13.0ms
b
7.0ms
(*.f64 b b)
4.0ms
a
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 a a)
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)

regimes16.0ms (0.6%)

Memory
36.2MiB live, 36.2MiB 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) (+ (* (* a a) 2) 4)) b) b) -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) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) 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) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 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 #s(literal -1 binary64)))
Outputs
#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) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

6 calls:

3.0ms
b
3.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
86.9%1(*.f64 b b)
94.6%2(*.f64 a a)
86.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
86.9%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))
94.6%2a
86.9%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes8.0ms (0.3%)

Memory
-31.9MiB live, 12.9MiB allocated; 4ms 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) (+ (* (* a a) 2) 4)) b) b) -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) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) 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) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* (* a a) 2) 4) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) b) b #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:

5.0ms
(*.f64 a a)
3.0ms
a
Results
AccuracySegmentsBranch
94.6%2(*.f64 a a)
94.6%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes4.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms 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) (+ (* (* a a) 2) 4)) b) b) -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) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b 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
94.5%2(*.f64 a a)
94.5%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes11.0ms (0.4%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -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) (*.f64 (*.f64 b b) (*.f64 b b)))
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 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

6 calls:

2.0ms
b
2.0ms
a
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
77.8%3b
77.8%3(*.f64 b b)
73.2%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
73.2%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))
85.5%3(*.f64 a a)
85.5%3a
Compiler

Compiled 40 to 32 computations (20% saved)

regimes6.0ms (0.2%)

Memory
-47.3MiB live, 7.1MiB allocated; 4ms 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) (+ (* (* a a) 2) 4)) b) b) -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

2 calls:

4.0ms
a
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
82.8%2(*.f64 a a)
82.8%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes8.0ms (0.3%)

Memory
20.5MiB live, 20.5MiB allocated; 0ms 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) (+ (* (* a a) 2) 4)) b) b) -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:

1.0ms
a
1.0ms
b
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 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
54.8%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
54.8%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))
54.8%1(*.f64 b b)
54.8%1b
54.8%1(*.f64 a a)
54.8%1a
Compiler

Compiled 40 to 32 computations (20% saved)

regimes6.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB 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) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -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
24.8%1(*.f64 b b)
24.8%1(*.f64 a a)
24.8%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
24.8%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))
24.8%1a
24.8%1b
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch11.0ms (0.4%)

Memory
-26.6MiB live, 19.8MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.1548130829850435e+61
8.009364117381065e+61
Samples
6.0ms96×0valid
Compiler

Compiled 362 to 244 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (48.8% of total)
ival-pow2: 1.0ms (24.4% 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
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1548130829850435e+61
8.009364117381065e+61
Compiler

Compiled 332 to 226 computations (31.9% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.1548130829850435e+61
8.009364117381065e+61
Compiler

Compiled 398 to 244 computations (38.7% saved)

bsearch12.0ms (0.4%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.1548130829850435e+61
8.009364117381065e+61
10.0ms
1.7441817662105636e-22
6.686709674240419e-21
Samples
6.0ms112×0valid
Compiler

Compiled 705 to 460 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult!: 2.0ms (57.3% of total)
ival-pow2: 1.0ms (28.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch13.0ms (0.5%)

Memory
-25.2MiB live, 20.7MiB allocated; 4ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.587604011971964e+20
1.4244150070894634e+21
Samples
8.0ms96×0valid
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 (34.6% of total)
ival-mult!: 1.0ms (34.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations337.0ms (11.9%)

Memory
-11.2MiB live, 320.3MiB allocated; 23ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 417 to 61 computations (85.4% saved)

preprocess60.0ms (2.1%)

Memory
33.9MiB live, 126.9MiB allocated; 7ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 3 198 to 1 138 computations (64.4% saved)

end0.0ms (0%)

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

Profiling

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