Bouland and Aaronson, Equation (26)

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample1.0s (28.4%)

Memory
86.8MiB live, 1 567.5MiB allocated; 286ms collecting garbage
Samples
699.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 486.0ms
ival-mult: 259.0ms (53.3% of total)
ival-pow2: 95.0ms (19.6% of total)
ival-add: 77.0ms (15.9% of total)
ival-sub: 40.0ms (8.2% of total)
exact: 10.0ms (2.1% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain191.0ms (5.3%)

Memory
-2.5MiB live, 325.1MiB allocated; 49ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
00-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
00-0-#s(literal 4 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 4 binary64) (*.f64 b b))
00-0-#s(literal 2 binary64)
00-0-b
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
45.0ms512×0valid
Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 10.0ms (36.6% of total)
ival-sub: 6.0ms (22% of total)
ival-pow2: 5.0ms (18.3% of total)
ival-add: 4.0ms (14.7% of total)
exact: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess378.0ms (10.5%)

Memory
-38.9MiB live, 417.3MiB allocated; 204ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032104
198104
2265104
3715104
42356102
01217
01917
14417
213417
347917
4165717
5637717
0803315
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
Symmetry

(abs a)

(abs b)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
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))
Compiler

Compiled 17 to 12 computations (29.4% saved)

series9.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Counts
12 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Calls

6 calls:

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

rewrite226.0ms (6.3%)

Memory
-17.7MiB live, 317.2MiB allocated; 101ms 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)))
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(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
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(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 a)) (fabs.f64 a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 #s(literal 1 binary64) a) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 1 binary64) a) a (*.f64 (neg.f64 (neg.f64 b)) b))
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(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (neg.f64 b) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 b)) (*.f64 #s(literal 1 binary64) (fabs.f64 b)) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 b)) (fabs.f64 b) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 1 binary64) b) (*.f64 #s(literal 1 binary64) b) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 1 binary64) b) b (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(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 (neg.f64 (neg.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 (neg.f64 (neg.f64 b)) b))
(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 b)) (exp.f64 (log.f64 b)) (*.f64 a a))
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(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
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(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
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(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a a))
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(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 b (*.f64 b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 b b (*.f64 a a))
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(fma.f64 a a (*.f64 (neg.f64 (neg.f64 b)) b))
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(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 a a (*.f64 (neg.f64 b) b))))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
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(+.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) b))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 a a))
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(*.f64 (neg.f64 a) (neg.f64 a))
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(*.f64 #s(literal 1 binary64) (*.f64 a a))
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(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
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(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
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(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
a
(*.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) (*.f64 (neg.f64 b) #s(literal 1 binary64)))
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(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (neg.f64 b))
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(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 b)) (fabs.f64 b))
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(*.f64 (*.f64 #s(literal 1 binary64) b) b)
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
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(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
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(*.f64 (neg.f64 b) (neg.f64 b))
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(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 (*.f64 b b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 b b))
(*.f64 b (*.f64 b #s(literal 1 binary64)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) #s(literal 2 binary64))
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(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) #s(literal 0 binary64)))
(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 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b))
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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)
#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)))
#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)))

eval103.0ms (2.9%)

Memory
-6.1MiB live, 149.9MiB allocated; 35ms collecting garbage
Compiler

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

prune8.0ms (0.2%)

Memory
33.0MiB live, 33.0MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3206326
Fresh000
Picked101
Done000
Total3216327
Accuracy
100.0%
Counts
327 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
87.0%
(-.f64 #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(literal 1 binary64))
87.1%
#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)))
68.6%
#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)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 302 to 196 computations (35.1% saved)

series18.0ms (0.5%)

Memory
-3.6MiB live, 41.6MiB allocated; 5ms 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
4.0ms
a
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* 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))
3.0ms
b
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4))
3.0ms
b
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (* (* a a) 2) 4) 2 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow a 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow b 4))
2.0ms
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))

rewrite190.0ms (5.3%)

Memory
-17.3MiB live, 318.3MiB allocated; 51ms 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))
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b
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a
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#s(literal 4 binary64)
#s(literal -1 binary64)
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(+.f64 (*.f64 b b) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 b b))
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(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))))) (-.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) b) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)) (*.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))) (*.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))))))
(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))))
(+.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b))
(+.f64 (*.f64 b #s(literal 4 binary64)) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 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)))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (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 (neg.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))))
(/.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)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 b #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 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 #s(literal 16 binary64) (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))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (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))))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 3 binary64))) (+.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)))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)))) (/.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)))))
(-.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)))))
(+.f64 (/.f64 #s(literal 64 binary64) (+.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)))))) (/.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) #s(literal 3 binary64)) (+.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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(+.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))))
(/.f64 (-.f64 #s(literal 64 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (fma.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 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 64 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (*.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (+.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)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (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))))
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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 #s(literal 64 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)))))) (/.f64 (*.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)))))))
(+.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)))))

eval96.0ms (2.7%)

Memory
23.5MiB live, 114.2MiB allocated; 12ms collecting garbage
Compiler

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

prune37.0ms (1%)

Memory
-41.5MiB live, 58.4MiB allocated; 11ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4437450
Fresh101
Picked325
Done000
Total4479456
Accuracy
100.0%
Counts
456 → 9
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)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
84.7%
(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)))
68.6%
#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)))
51.5%
#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)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
24.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 462 to 272 computations (41.1% saved)

series10.0ms (0.3%)

Memory
33.6MiB live, 33.7MiB allocated; 0ms collecting garbage
Counts
18 → 59
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
Outputs
#s(approx (+ (* (+ (* 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 (* (* 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 (- (+ (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 (+ (* (* 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) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (* (* b b) (* b b)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* 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) (+ (* (* 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
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) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* b b) (* b b)))
2.0ms
b
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* b b) (* b b)))
2.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* b b) (* b b)))
2.0ms
a
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* b b) (* b b)))
1.0ms
a
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) 4 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* a a) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (* (* b b) (* b b)))

rewrite205.0ms (5.7%)

Memory
-30.5MiB live, 400.2MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01811816
01941669
111181635
082911485
Stop Event
iter limit
node limit
iter limit
Counts
77 → 240
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
#s(approx (+ (* (+ (* 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 (* (* 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 (- (+ (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 (+ (* (* 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) #s(hole binary64 (pow b 2)))
#s(approx (+ (* b b) 4) #s(hole binary64 4))
#s(approx (+ (* b b) 4) #s(hole binary64 (+ 4 (pow b 2))))
#s(approx (* (* b b) (* b b)) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (+ (* 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) (+ (* (* 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 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64))) (-.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64))) (fma.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))))
(fma.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) #s(approx (+ (* (* b b) 4) -1) #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)))) #s(approx (+ (* (* b b) 4) -1) #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)))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (fma.f64 a a (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fma.f64 a a (*.f64 b b))) (fabs.f64 (fma.f64 a a (*.f64 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))
(-.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 a a (*.f64 b b)))))
(-.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (*.f64 (neg.f64 (fabs.f64 (fma.f64 a a (*.f64 b b)))) (fabs.f64 (fma.f64 a a (*.f64 b b)))))
(-.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (fma.f64 a a (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))) (/.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 4 binary64)) (-.f64 (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))))
(+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(+.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))))
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b
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a
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#s(approx (* a a) (*.f64 a a))
#s(approx a a)
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#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (pow.f64 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 (*.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 (+ (* (+ (* 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 (*.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 (fma.f64 (*.f64 b b) (fma.f64 b 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 (*.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)) (+ (* 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 b b)
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(approx (+ (* (* b b) 4) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
#s(approx (+ (* (+ (* 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 (*.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)) (+ (* 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 (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.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) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (* b b) (*.f64 b b))
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(approx (+ (* b b) 4) (fma.f64 b b #s(literal 4 binary64)))
#s(approx (* (* b b) (* b b)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (+ (* 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 (+ (* (+ (* 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) 2) 4)) b) b) -1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal -4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* 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)))

eval102.0ms (2.8%)

Memory
17.0MiB live, 116.7MiB allocated; 11ms collecting garbage
Compiler

Compiled 12 229 to 950 computations (92.2% saved)

prune28.0ms (0.8%)

Memory
-5.7MiB live, 41.3MiB allocated; 3ms collecting garbage
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4062408
Fresh112
Picked055
Done022
Total40710417
Accuracy
100.0%
Counts
417 → 10
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)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
84.7%
(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)))
80.8%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
68.6%
#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)))
51.5%
#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)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
24.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 282 to 169 computations (40.1% saved)

series25.0ms (0.7%)

Memory
-8.4MiB live, 36.7MiB allocated; 4ms collecting garbage
Counts
19 → 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 a a)) #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 a a))
#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)))
#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)
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 (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* b b) (+ (* (* 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 (+ (* (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (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
13.0ms
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)) (+ (* (* b b) 4) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 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)) (+ (* (* b b) 4) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 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)) (+ (* (* b b) 4) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 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)) (+ (* (* b b) 4) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1)
2.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b 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)) (+ (* (* b b) 4) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* (+ (* (/ a b) (/ a b)) 1) (* b b)) (+ (* (/ a b) (/ a b)) 1) (/ a b) 1)

rewrite188.0ms (5.2%)

Memory
61.4MiB live, 280.0MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02192235
02372056
112732036
080701874
Stop Event
iter limit
node limit
iter limit
Counts
93 → 248
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 a a)) #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 a a))
#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)))
#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 (- (+ (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 (+ (* (* b b) 4) -1) #s(hole binary64 -1))
#s(approx (+ (* (* b b) 4) -1) #s(hole binary64 (- (* 4 (pow b 2)) 1)))
#s(approx (+ (* (/ a b) (/ a b)) 1) #s(hole binary64 (/ (+ (pow a 2) (pow b 2)) (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (pow b 4)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (pow b 3)))
#s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (* b b) (+ (* (* 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 (+ (* (* 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 (* (+ (* (/ a b) (/ a b)) 1) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (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))
(fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b 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)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal -1 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 3 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))))) (/.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 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)) #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 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) (*.f64 b b)))
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b)
(*.f64 b #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b))
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)))
(*.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)))
(*.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 (neg.f64 b) (neg.f64 b))
(*.f64 (fabs.f64 b) (fabs.f64 b))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (neg.f64 b) #s(literal 2 binary64))
(pow.f64 (fabs.f64 b) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(fabs.f64 (*.f64 b b))
(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 -1 binary64)
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)) (pow.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 b b (*.f64 a a))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))))
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(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
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(+.f64 #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 a a)) (fma.f64 b b (*.f64 a a))))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
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(/.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))))
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(/.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)))
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(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 (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 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 b b))
(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 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
(-.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))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 b #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 (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))))))
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(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
a
#s(approx (+ (* b b) (* a a)) (*.f64 a a))
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
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#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (-.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 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)
#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 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) 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 (+ (* (/ a b) (/ a b)) 1) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (/.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* 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 (+ (* (* 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 (* (+ (* (/ 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) (+ (* (* a a) 2) 4)) b) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))))

eval63.0ms (1.7%)

Memory
-32.7MiB live, 123.5MiB allocated; 37ms collecting garbage
Compiler

Compiled 16 082 to 1 169 computations (92.7% saved)

prune15.0ms (0.4%)

Memory
2.3MiB live, 48.3MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New3761377
Fresh000
Picked033
Done077
Total37611387
Accuracy
100.0%
Counts
387 → 11
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)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
84.7%
(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)))
84.7%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (/.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 b b))) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
80.8%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
68.6%
#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)))
51.5%
#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)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
49.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
24.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 807 to 275 computations (65.9% saved)

regimes35.0ms (1%)

Memory
10.8MiB live, 110.0MiB allocated; 15ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(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 (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 (*.f64 (/.f64 a b) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) 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 #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(literal 1 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)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
Calls

6 calls:

10.0ms
a
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
5.0ms
b
4.0ms
(*.f64 b b)
4.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.9%1(*.f64 b b)
99.9%1(*.f64 a a)
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.9%1a
99.9%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes18.0ms (0.5%)

Memory
2.3MiB live, 49.1MiB allocated; 2ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
Calls

6 calls:

5.0ms
b
3.0ms
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)))
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.8%2(*.f64 b b)
98.1%2(*.f64 a a)
89.3%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
89.3%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))
98.1%2a
98.8%2b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes34.0ms (1%)

Memory
-6.5MiB live, 39.6MiB 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)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #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)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
Calls

4 calls:

26.0ms
b
3.0ms
a
3.0ms
(*.f64 b b)
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.1%2(*.f64 a a)
98.1%2a
95.6%2(*.f64 b b)
95.6%2b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes32.0ms (0.9%)

Memory
-27.5MiB live, 21.7MiB allocated; 6ms 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 #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:

29.0ms
(*.f64 a a)
2.0ms
a
Results
AccuracySegmentsBranch
96.1%2(*.f64 a a)
96.1%2a
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.3%)

Memory
4.2MiB live, 50.4MiB allocated; 2ms 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 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
73.2%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
73.2%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
71.5%2(*.f64 b b)
71.5%2b
85.0%2(*.f64 a a)
85.0%2a
Compiler

Compiled 40 to 32 computations (20% saved)

regimes11.0ms (0.3%)

Memory
10.9MiB live, 54.6MiB allocated; 4ms 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:

4.0ms
b
1.0ms
a
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)))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
51.5%1(*.f64 b b)
51.5%1b
51.5%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
51.5%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))
51.5%1(*.f64 a a)
51.5%1a
Compiler

Compiled 40 to 32 computations (20% saved)

regimes8.0ms (0.2%)

Memory
-4.1MiB live, 43.0MiB 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
b
1.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
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
24.8%1(*.f64 b b)
24.8%1b
24.8%1(*.f64 a a)
24.8%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
24.8%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
24.8%1a
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch14.0ms (0.4%)

Memory
-4.4MiB live, 48.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
783125981883.7854
1989230088606.3733
Samples
10.0ms80×0valid
Compiler

Compiled 315 to 206 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 5.0ms (64.6% of total)
ival-mult: 1.0ms (12.9% of total)
ival-pow2: 1.0ms (12.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.5%)

Memory
5.7MiB live, 50.2MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.6662805272764542e-6
0.0006757689061068589
Samples
11.0ms128×0valid
Compiler

Compiled 540 to 320 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (36.7% of total)
ival-sub: 1.0ms (18.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-pow2: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.5%)

Memory
1.6MiB live, 46.1MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
0.11236613431027631
483.16298163929497
Samples
9.0ms128×0valid
Compiler

Compiled 524 to 320 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (36.1% of total)
ival-sub: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
ival-pow2: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch12.0ms (0.3%)

Memory
32.9MiB live, 32.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
0.11236613431027631
483.16298163929497
Samples
6.0ms96×0valid
Compiler

Compiled 460 to 304 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.4% of total)
ival-add: 1.0ms (24.7% of total)
ival-pow2: 1.0ms (24.7% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify72.0ms (2%)

Memory
-54.4MiB live, 77.3MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058347
1100347
2269347
31023347
44454347
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 800000000000 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 760928193040519/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 460 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 a #s(literal 32 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.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) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 800000000000 binary64)) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 760928193040519/1152921504606846976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))) (fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))))
(if (<=.f64 a #s(literal 460 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 a #s(literal 32 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.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) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))

derivations317.0ms (8.8%)

Memory
-10.8MiB live, 459.4MiB allocated; 49ms collecting garbage
Stop Event
fuel
Compiler

Compiled 347 to 61 computations (82.4% saved)

preprocess84.0ms (2.3%)

Memory
11.7MiB live, 105.0MiB allocated; 15ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 816 to 194 computations (76.2% saved)

end0.0ms (0%)

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

Profiling

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