Bouland and Aaronson, Equation (26)

Time bar (total: 2.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample825.0ms (30.2%)

Memory
41.1MiB live, 1 209.7MiB allocated; 258ms collecting garbage
Samples
511.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-mult!: 132.0ms (43.8% of total)
ival-pow2: 107.0ms (35.5% of total)
ival-add!: 33.0ms (11% of total)
ival-sub!: 28.0ms (9.3% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain252.0ms (9.2%)

Memory
-47.0MiB live, 271.2MiB allocated; 72ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
00-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
00-0-#s(literal 4 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
00-0-(*.f64 b b)
01(8.220567084506415e+146 -1.0023134216822154e-162)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
45.0ms512×0valid
Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult!: 20.0ms (68.7% of total)
ival-pow2: 6.0ms (20.6% of total)
ival-add!: 2.0ms (6.9% of total)
ival-sub!: 1.0ms (3.4% of total)
adjust: 0.0ms (0% of total)

preprocess32.0ms (1.2%)

Memory
-9.8MiB live, 33.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

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

(abs a)

(abs b)

Compiler

Compiled 34 to 24 computations (29.4% saved)

series9.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Counts
12 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Calls

6 calls:

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

rewrite195.0ms (7.1%)

Memory
-11.5MiB live, 323.7MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361221
01481209
18001161
084961049
Stop Event
iter-limit
node-limit
iter-limit
Counts
55 → 287
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal 1 binary64))))
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(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
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(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
a
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(*.f64 (*.f64 #s(literal 1 binary64) b) b)
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(*.f64 (neg.f64 b) (neg.f64 b))
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(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
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(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))
b
#s(literal 2 binary64)
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(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(literal 1 binary64)
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 b #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 b b))
#s(approx (+ (* a a) (* b b)) (fma.f64 b b (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -4 binary64)))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (pow.f64 a #s(literal 4 binary64)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 b b) a) (/.f64 #s(literal 2 binary64) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 a a))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (+.f64 (fma.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (* b b) (*.f64 b b))
#s(approx b b)
#s(approx (* 4 (* b b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* a a) (* b b)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))

eval63.0ms (2.3%)

Memory
-5.0MiB live, 86.0MiB allocated; 7ms collecting garbage
Compiler

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

prune6.0ms (0.2%)

Memory
19.4MiB live, 19.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3215326
Fresh000
Picked101
Done000
Total3225327
Accuracy
100.0%
Counts
327 → 5
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)))
86.4%
#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)))
69.7%
#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)))
47.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 240 to 156 computations (35% saved)

series16.0ms (0.6%)

Memory
-11.1MiB live, 35.1MiB allocated; 4ms 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
5.0ms
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))

rewrite203.0ms (7.4%)

Memory
9.1MiB live, 293.0MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02302144
02511953
112941936
080701894
Stop Event
iter-limit
node-limit
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))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 b b))))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
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(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 a a))
b
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
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(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
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a
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#s(literal 4 binary64)
#s(literal -1 binary64)
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(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
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(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 b b) #s(literal 4 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)))
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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)))))

eval57.0ms (2.1%)

Memory
-9.8MiB live, 134.0MiB allocated; 17ms collecting garbage
Compiler

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

prune10.0ms (0.4%)

Memory
34.2MiB live, 34.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4446450
Fresh000
Picked235
Done000
Total4469455
Accuracy
100.0%
Counts
455 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.3%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
69.4%
#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)))
69.7%
#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)))
49.9%
#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)))
47.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
47.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
23.0%
#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 445 to 266 computations (40.2% saved)

series17.0ms (0.6%)

Memory
-4.9MiB live, 41.8MiB allocated; 3ms collecting garbage
Counts
23 → 70
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
#s(literal 1 binary64)
(*.f64 b b)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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))
#s(approx (+ (* b b) 4) #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 (+ (* (+ (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (- (+ (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 (* (* a a) (* a a)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- (+ (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)) (+ (* 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 (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* 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) (+ (* 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) (* b b)) #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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* 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) (+ (* 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)))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (* b b) (+ (* (* b b) 4) -1) 4 -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) 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
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (* b b) (+ (* (* b b) 4) -1) 4 -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) 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
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (* b b) (+ (* (* b b) 4) -1) 4 -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) 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
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (* b b) (+ (* (* b b) 4) -1) 4 -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) 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
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (* b b) (+ (* (* b b) 4) -1) 4 -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) 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)))

rewrite177.0ms (6.5%)

Memory
-17.3MiB live, 261.2MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042049
02251863
112531835
081121715
Stop Event
iter-limit
node-limit
iter-limit
Counts
93 → 311
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
#s(literal 1 binary64)
(*.f64 b b)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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))
#s(approx (+ (* b b) 4) #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 (+ (* (+ (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (- (+ (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 (* (* a a) (* a a)) #s(hole binary64 (pow a 4)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) #s(hole binary64 (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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- (+ (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)) (+ (* 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 (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* 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) (+ (* 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) (* b b)) #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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* 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) (+ (* 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)))))))
Outputs
(/.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 a a (*.f64 b b)))))))
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b
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(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
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a
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(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 #s(literal 4 binary64) (*.f64 b b) (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 #s(literal 4 binary64) (*.f64 b b) (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 #s(literal 2 binary64) (*.f64 b b) (*.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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 b b))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (fma.f64 a a (*.f64 b b)))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ a b) (/ a b)) 1) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ a b) (/.f64 a b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (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 #s(literal 4 binary64) (*.f64 b b) (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 #s(literal 2 binary64) (*.f64 b b) (*.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 #s(literal 4 binary64) (*.f64 b b) (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 #s(literal 4 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))))
#s(approx (* (* a a) (* a a)) (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 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) 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 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 a a))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ (* (/ a b) (/ a b)) 1) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))
#s(approx (+ (* (/ a b) (/ a b)) 1) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal -2 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 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) 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 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (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 #s(literal 2 binary64) (*.f64 b b) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 a a))) (*.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 (fma.f64 b b (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)
#s(approx (+ (* (/ a b) (/ a b)) 1) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(approx (+ (* (* b b) 4) -1) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (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) 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b)) #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 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (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) (* b b)) (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)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (+ (* (* b b) 4) -1) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (+ (* (* b b) 4) -1) (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 b #s(literal -2 binary64))) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* 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) (+ (* 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)))

eval82.0ms (3%)

Memory
9.0MiB live, 112.5MiB allocated; 21ms collecting garbage
Compiler

Compiled 16 822 to 1 398 computations (91.7% saved)

prune32.0ms (1.2%)

Memory
-11.2MiB live, 36.0MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New4591460
Fresh011
Picked145
Done033
Total4609469
Accuracy
100.0%
Counts
469 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.0%
(fma.f64 (fma.f64 b b (*.f64 a a)) #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) #s(literal -1 binary64)))
69.4%
#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)))
69.7%
#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)))
49.9%
#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)))
47.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
47.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
23.0%
#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 260 to 160 computations (38.5% saved)

series11.0ms (0.4%)

Memory
26.9MiB live, 26.9MiB allocated; 0ms collecting garbage
Counts
17 → 74
Calls
Call 1
Inputs
#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)
b
#s(literal -1 binary64)
(fma.f64 (fma.f64 b b (*.f64 a a)) #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) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
#s(literal 1 binary64)
#s(approx (+ (* (* b b) 4) -1) #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 (+ (* (* (+ (* 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 (+ (* (+ (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (- (+ (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 (+ (* (+ (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- (+ (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 b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#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 (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow 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) (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (* (+ (* 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
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 b) b -1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (+ (* (* b b) 4) -1))
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 b) b -1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (+ (* (* b b) 4) -1))
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 b) b -1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (+ (* (* b b) 4) -1))
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 b) b -1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (+ (* (* b b) 4) -1))
1.0ms
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) (+ (* (* a a) 2) 4)) (* b b) b -1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) a (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1 (+ (* (* b b) 4) -1))

rewrite160.0ms (5.9%)

Memory
-26.3MiB live, 261.1MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02172199
02302020
112542000
081121839
Stop Event
iter-limit
node-limit
iter-limit
Counts
91 → 236
Calls
Call 1
Inputs
#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)
b
#s(literal -1 binary64)
(fma.f64 (fma.f64 b b (*.f64 a a)) #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) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))
(/.f64 a b)
#s(literal 1 binary64)
#s(approx (+ (* (* b b) 4) -1) #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 (+ (* (* (+ (* 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 (+ (* (+ (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 1))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (+ 1 (/ (pow a 2) (pow b 2)))))
#s(approx (/ a b) #s(hole binary64 (/ a b)))
#s(approx (- (+ (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 (+ (* (+ (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (pow a 2) (pow b 2))))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (* (pow a 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))))
#s(approx (- (+ (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 b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#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 (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow 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) (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (* (pow b 2) (- 4 (/ 1 (pow b 2))))))
#s(approx (* (+ (* 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 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 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))
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(fma.f64 #s(literal 1 binary64) (*.f64 b b) (pow.f64 (*.f64 (/.f64 a b) b) #s(literal 2 binary64)))
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(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b b)) (pow.f64 (*.f64 (/.f64 a b) b) #s(literal 2 binary64)))
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(/.f64 (fma.f64 (*.f64 (/.f64 a b) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 (neg.f64 (*.f64 a a)) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 b b)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (*.f64 a (/.f64 a b)))) (*.f64 #s(literal 2 binary64) b))
(/.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 a b) a))) (*.f64 #s(literal 2 binary64) b))
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(/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 (*.f64 b b) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 a (/.f64 a b)) (*.f64 b b) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))
(/.f64 (fma.f64 (*.f64 (/.f64 a b) a) (*.f64 b b) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 3 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))
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(/.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (neg.f64 (*.f64 b b)))
(/.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b))
(fma.f64 (/.f64 (neg.f64 a) (fabs.f64 b)) (/.f64 (neg.f64 a) (fabs.f64 b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 a) b) (/.f64 (neg.f64 a) b) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 a) (neg.f64 b)) (/.f64 (fabs.f64 a) (neg.f64 b)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 a) b) (/.f64 (fabs.f64 a) b) #s(literal 1 binary64))
(fma.f64 (/.f64 a (neg.f64 b)) (/.f64 a (neg.f64 b)) #s(literal 1 binary64))
(fma.f64 (/.f64 a (fabs.f64 b)) (/.f64 a (fabs.f64 b)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (/.f64 a b))) (neg.f64 (neg.f64 (/.f64 a b))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 (/.f64 a b))) (neg.f64 (fabs.f64 (/.f64 a b))) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (/.f64 a b))) (fabs.f64 (fabs.f64 (/.f64 a b))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 1 binary64)) (pow.f64 (/.f64 a b) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 1 binary64)) (/.f64 a b) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 a b)) (neg.f64 (/.f64 a b)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (/.f64 a b)) (fabs.f64 (/.f64 a b)) #s(literal 1 binary64))
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 a) a) (*.f64 b b)))
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(+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 a b) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 a) (neg.f64 b))
(/.f64 a b)
#s(literal 1 binary64)
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#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)))
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#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))))
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#s(approx (+ (* b b) (* a a)) (*.f64 b b))
#s(approx (+ (* b b) (* a a)) (fma.f64 b b (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx a a)
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 b b))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (fma.f64 b b (*.f64 a a)))
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#s(approx (+ (* b b) (* a a)) (*.f64 a a))
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#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 a a))
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.f64 (pow.f64 a #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 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 (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 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) (*.f64 b b))
#s(approx b b)
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#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 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 (+ (* (/ a b) (/ a b)) 1) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)))
#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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* 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)) (+ (* 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)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* b b) (* a a)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b)))
#s(approx (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 b b)))
#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 (* (+ (* 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)))))

eval33.0ms (1.2%)

Memory
39.8MiB live, 85.6MiB allocated; 4ms collecting garbage
Compiler

Compiled 12 435 to 1 044 computations (91.6% saved)

prune11.0ms (0.4%)

Memory
-16.4MiB live, 29.8MiB allocated; 4ms collecting garbage
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2752277
Fresh000
Picked112
Done077
Total27610286
Accuracy
100.0%
Counts
286 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.6%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 a a)) (*.f64 b b) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b))) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b))) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
65.8%
(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #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) #s(literal -1 binary64)))
69.4%
#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)))
69.7%
#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)))
49.9%
#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)))
47.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
47.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
46.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
23.0%
#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 773 to 261 computations (66.2% saved)

regimes25.0ms (0.9%)

Memory
18.0MiB live, 65.3MiB allocated; 1ms 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 (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)))
(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #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) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #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) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (/.f64 (fma.f64 (neg.f64 (*.f64 a a)) (*.f64 b b) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b))) (*.f64 (neg.f64 (*.f64 b b)) (*.f64 b b))) (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (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))
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:

5.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
4.0ms
(*.f64 a 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)))
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)

regimes17.0ms (0.6%)

Memory
-19.8MiB live, 32.6MiB allocated; 3ms 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 (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:

5.0ms
b
3.0ms
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
86.4%1(*.f64 b b)
96.7%2(*.f64 a a)
86.4%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
86.4%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))
96.7%2a
86.4%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes5.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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)))
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:

2.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
96.6%2(*.f64 a a)
96.6%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes6.0ms (0.2%)

Memory
-37.3MiB live, 9.9MiB allocated; 2ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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
96.4%2(*.f64 a a)
96.4%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes11.0ms (0.4%)

Memory
22.9MiB live, 22.9MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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 a a) (*.f64 a a)))
Calls

6 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 a 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 (+.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
74.6%2(*.f64 b b)
80.1%4b
69.8%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
69.8%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
83.2%2(*.f64 a a)
83.2%2a
Compiler

Compiled 40 to 32 computations (20% saved)

regimes8.0ms (0.3%)

Memory
21.6MiB live, 21.6MiB 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 b b)
1.0ms
(*.f64 a 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)))
Results
AccuracySegmentsBranch
49.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
49.9%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))
49.9%1(*.f64 b b)
49.9%1b
49.9%1a
49.9%1(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes7.0ms (0.3%)

Memory
-26.9MiB live, 20.1MiB allocated; 2ms 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:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
a
1.0ms
b
1.0ms
(-.f64 (+.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))
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
23.0%1(*.f64 b b)
23.0%1b
23.0%1(*.f64 a a)
23.0%1a
23.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
23.0%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch13.0ms (0.5%)

Memory
29.8MiB live, 29.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
10010251321243845000.0
6.252403733560005e+23
Samples
7.0ms128×0valid
Compiler

Compiled 476 to 320 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (51.1% of total)
ival-pow2: 1.0ms (25.5% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
-43.5MiB live, 2.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
10010251321243845000.0
6.252403733560005e+23
Compiler

Compiled 436 to 296 computations (32.1% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
10010251321243845000.0
6.252403733560005e+23
Compiler

Compiled 524 to 320 computations (38.9% saved)

bsearch14.0ms (0.5%)

Memory
29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1.0020513151446413e+38
3.909255244743508e+47
Samples
7.0ms144×0valid
Compiler

Compiled 479 to 331 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-pow2: 2.0ms (51.5% of total)
ival-add!: 1.0ms (25.8% of total)
ival-mult!: 1.0ms (25.8% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

derivations347.0ms (12.7%)

Memory
2.7MiB live, 355.3MiB allocated; 83ms collecting garbage
Stop Event
fuel
Compiler

Compiled 331 to 55 computations (83.4% saved)

preprocess83.0ms (3%)

Memory
4.8MiB live, 114.2MiB allocated; 44ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 2 388 to 896 computations (62.5% saved)

end0.0ms (0%)

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

Profiling

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