Bouland and Aaronson, Equation (26)

Time bar (total: 8.0s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample2.3s (29.2%)

Memory
8.1MiB live, 1 746.5MiB allocated; 867ms collecting garbage
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 510.0ms (49.5% of total)
ival-add: 276.0ms (26.8% of total)
ival-pow2: 161.0ms (15.6% of total)
ival-sub: 66.0ms (6.4% of total)
exact: 13.0ms (1.3% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain539.0ms (6.7%)

Memory
-24.9MiB live, 417.7MiB allocated; 165ms 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
88.0ms512×0valid
Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 17.0ms (41.5% of total)
ival-pow2: 9.0ms (22% of total)
ival-add: 8.0ms (19.5% of total)
ival-sub: 4.0ms (9.8% of total)
ival-true: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess639.0ms (8%)

Memory
-17.8MiB live, 366.6MiB allocated; 98ms 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)

prune1.0ms (0%)

Memory
1.6MiB live, 1.7MiB 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)

series15.0ms (0.2%)

Memory
26.4MiB live, 26.4MiB allocated; 0ms collecting garbage
Counts
12 → 43
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (pow b 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow b 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow b 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (+ (pow a 2) (pow b 2))))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx a #s(hole binary64 a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow a 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (pow a 4)))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (pow a 2)))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (pow a 4) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))))
#s(approx (* b b) #s(hole binary64 (pow b 2)))
#s(approx b #s(hole binary64 b))
#s(approx (* 4 (* b b)) #s(hole binary64 (* 4 (pow b 2))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (pow b 4)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(hole binary64 (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))))
#s(approx (pow (+ (* a a) (* b b)) 2) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
#s(approx (+ (* a a) (* b b)) #s(hole binary64 (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))))
Calls

6 calls:

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

rewrite521.0ms (6.5%)

Memory
6.8MiB live, 382.0MiB allocated; 132ms 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)))

eval159.0ms (2%)

Memory
10.8MiB live, 100.5MiB allocated; 26ms collecting garbage
Compiler

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

prune18.0ms (0.2%)

Memory
-15.0MiB live, 31.0MiB allocated; 9ms 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)))
66.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
87.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
73.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
42.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 282 to 186 computations (34% saved)

series122.0ms (1.5%)

Memory
-7.4MiB live, 102.3MiB allocated; 35ms 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
100.0ms
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))
6.0ms
b
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 4) -1) (* b b) 4 -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* 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))
4.0ms
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))
4.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) b (* a a) a (+ (* (* b b) 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
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))

rewrite454.0ms (5.7%)

Memory
14.8MiB live, 195.3MiB allocated; 62ms 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)))))

eval195.0ms (2.4%)

Memory
11.9MiB live, 99.7MiB allocated; 30ms collecting garbage
Compiler

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

prune51.0ms (0.6%)

Memory
-15.6MiB live, 44.3MiB allocated; 21ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New4446450
Fresh011
Picked145
Done000
Total44511456
Accuracy
100.0%
Counts
456 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(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)))
66.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
87.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
71.6%
#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)))
73.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
53.5%
#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)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
42.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
42.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
25.3%
#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 497 to 307 computations (38.2% saved)

series32.0ms (0.4%)

Memory
-22.0MiB live, 21.8MiB allocated; 11ms 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
18.0ms
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)))
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) -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)))
3.0ms
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)))
3.0ms
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
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) -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)))

rewrite409.0ms (5.1%)

Memory
47.9MiB live, 274.3MiB allocated; 88ms 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)))))
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b
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a
#s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
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#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
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(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
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#s(approx (+ (* b b) (* a a)) (*.f64 b b))
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#s(approx (* a a) (*.f64 a a))
#s(approx a a)
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#s(approx (* (* a a) (* a a)) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (/.f64 (fma.f64 (*.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)))

eval176.0ms (2.2%)

Memory
-54.8MiB live, 73.0MiB allocated; 173ms collecting garbage
Compiler

Compiled 12 229 to 950 computations (92.2% saved)

prune34.0ms (0.4%)

Memory
-14.9MiB live, 34.2MiB allocated; 10ms collecting garbage
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4071408
Fresh022
Picked145
Done044
Total40811419
Accuracy
100.0%
Counts
419 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(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)))
66.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
87.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
71.6%
#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)))
73.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
53.5%
#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)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
42.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
42.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
25.3%
#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 304 to 191 computations (37.2% saved)

series18.0ms (0.2%)

Memory
20.9MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
18 → 75
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)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#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)))
(fma.f64 b b (*.f64 a a))
(*.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) #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 (+ (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 4) #s(hole binary64 (pow a 4)))
#s(approx a #s(hole binary64 a))
#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 (- (+ (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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* 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) 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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* 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 (- (+ (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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* 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 (* (+ (* b b) (+ (* (* a a) 2) 4)) b) #s(hole binary64 (* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) a 4 1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (+ (* (* b b) 4) -1))
3.0ms
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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) a 4 1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (+ (* (* b b) 4) -1))
3.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b b) b -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) a 4 1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (+ (* (* b b) 4) -1))
3.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (* b b) b -1 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) a 4 1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (+ (* (* b b) 4) -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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) a 4 1 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (+ (* (* b b) 4) -1))

rewrite366.0ms (4.6%)

Memory
15.7MiB live, 292.7MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02132379
02242204
112192186
082191996
Stop Event
iter limit
node limit
iter limit
Counts
93 → 203
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)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#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)))
(fma.f64 b b (*.f64 a a))
(*.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) #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 (+ (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 4) #s(hole binary64 (pow a 4)))
#s(approx a #s(hole binary64 a))
#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 (- (+ (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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow a 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* 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) 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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* 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 (- (+ (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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (pow b 4)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(hole binary64 (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* 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 (* (+ (* 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)))
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(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))))
a
#s(literal 4 binary64)
#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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(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 (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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(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))
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(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 b)) (exp.f64 (log.f64 b)) (*.f64 a a))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(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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(-.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 b b))
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(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
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#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 4) (pow.f64 a #s(literal 4 binary64)))
#s(approx a a)
#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 b b (*.f64 a a)))
#s(approx (* a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) (/.f64 (fma.f64 (*.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 b a) (/.f64 (fma.f64 b b #s(literal 4 binary64)) 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 (+ (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 #s(literal 2 binary64) a) (/.f64 (*.f64 b b) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.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)))) #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)) (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 (- (+ (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 (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* (* b b) 4) -1)) (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 (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal -4 binary64))) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (*.f64 (-.f64 (+.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 (+ (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 (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))))
#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) 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)))))

eval52.0ms (0.6%)

Memory
-34.1MiB live, 66.4MiB allocated; 20ms collecting garbage
Compiler

Compiled 9 150 to 756 computations (91.7% saved)

prune16.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New2331234
Fresh000
Picked123
Done088
Total23411245
Accuracy
100.0%
Counts
245 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
66.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
87.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
71.6%
#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)))
73.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
53.5%
#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)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
42.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
42.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
25.3%
#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 689 to 261 computations (62.1% saved)

regimes130.0ms (1.6%)

Memory
-18.6MiB live, 28.8MiB allocated; 3ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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)))
#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))) (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
(-.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))
Calls

6 calls:

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

Compiled 40 to 32 computations (20% saved)

regimes37.0ms (0.5%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Counts
14 → 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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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)))
#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))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
Calls

6 calls:

6.0ms
b
6.0ms
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)))
6.0ms
(*.f64 b b)
6.0ms
(*.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)

regimes133.0ms (1.7%)

Memory
-20.8MiB live, 26.7MiB allocated; 3ms collecting garbage
Counts
10 → 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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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)))
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:

108.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
5.0ms
a
5.0ms
b
4.0ms
(*.f64 a a)
4.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.4%1(*.f64 b b)
98.4%1(*.f64 a a)
98.4%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
98.4%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
98.4%1a
98.4%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes30.0ms (0.4%)

Memory
31.2MiB live, 31.2MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
5.0ms
a
5.0ms
b
4.0ms
(*.f64 a a)
4.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.2%2(*.f64 b b)
99.0%2(*.f64 a a)
87.4%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
87.4%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.0%2a
99.2%2b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes63.0ms (0.8%)

Memory
-32.8MiB live, 15.6MiB allocated; 13ms 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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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 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)))
Calls

4 calls:

50.0ms
b
4.0ms
a
4.0ms
(*.f64 a a)
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.9%2(*.f64 a a)
98.9%2a
94.9%2(*.f64 b b)
94.9%2b
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* 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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

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

Compiled 4 to 5 computations (-25% saved)

regimes13.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

4 calls:

3.0ms
a
3.0ms
b
3.0ms
(*.f64 a a)
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
71.6%1(*.f64 b b)
75.0%2b
94.8%2(*.f64 a a)
94.8%2a
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes27.0ms (0.3%)

Memory
-31.4MiB live, 15.0MiB allocated; 6ms 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

4 calls:

18.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
3.0ms
a
2.0ms
(*.f64 a a)
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
72.3%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
72.3%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))
82.5%2(*.f64 a a)
82.5%2a
Compiler

Compiled 36 to 27 computations (25% saved)

regimes13.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

6 calls:

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
a
2.0ms
b
2.0ms
(*.f64 b b)
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
53.5%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
53.5%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))
53.5%1(*.f64 b b)
53.5%1b
53.5%1(*.f64 a a)
53.5%1a
Compiler

Compiled 40 to 32 computations (20% saved)

regimes12.0ms (0.2%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

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
a
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
25.3%1(*.f64 b b)
25.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
25.3%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))
25.3%1b
25.3%1(*.f64 a a)
25.3%1a
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch61.0ms (0.8%)

Memory
-22.3MiB live, 22.6MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
57.0ms
2.082620930102291e-34
1.0005831914109021e-29
Samples
49.0ms128×0valid
Compiler

Compiled 476 to 320 computations (32.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.3% of total)
ival-add: 2.0ms (22.7% of total)
ival-pow2: 2.0ms (22.7% of total)
ival-sub: 1.0ms (11.3% 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)

bsearch22.0ms (0.3%)

Memory
23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
0.004048562897370363
0.0923689775007219
Samples
12.0ms112×0valid
Compiler

Compiled 398 to 261 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (39% of total)
ival-pow2: 2.0ms (26% of total)
ival-sub: 1.0ms (13% of total)
ival-add: 1.0ms (13% 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)

bsearch29.0ms (0.4%)

Memory
-13.4MiB live, 32.2MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
3.1635903496479914e+26
1.239659455191039e+28
Samples
12.0ms112×0valid
Compiler

Compiled 384 to 261 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 3.0ms (38.7% of total)
ival-pow2: 2.0ms (25.8% of total)
ival-sub: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% 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)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
3.1635903496479914e+26
1.239659455191039e+28
Compiler

Compiled 461 to 282 computations (38.8% saved)

bsearch37.0ms (0.5%)

Memory
-31.6MiB live, 29.1MiB allocated; 31ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
34.0ms
3.1635903496479914e+26
1.239659455191039e+28
Samples
28.0ms96×0valid
Compiler

Compiled 405 to 268 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.7% of total)
ival-sub: 1.0ms (15.2% of total)
ival-add: 1.0ms (15.2% of total)
ival-pow2: 1.0ms (15.2% 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)

simplify102.0ms (1.3%)

Memory
27.2MiB live, 73.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071426
1116426
2288426
31057426
44507426
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(fma.f64 (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 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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 7148113328562451/1152921504606846976 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))))
(if (<=.f64 a #s(literal 4499999999999999922355044352 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 a #s(literal 4499999999999999922355044352 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 520000000000000004160749568 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
(-.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))
(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)) (fma.f64 b b (*.f64 a a)) #s(approx (+ (* (* b b) 4) -1) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #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 7148113328562451/1152921504606846976 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))))
(if (<=.f64 a #s(literal 4499999999999999922355044352 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 a #s(literal 4499999999999999922355044352 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 520000000000000004160749568 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)))

derivations1.0s (13%)

Memory
7.4MiB live, 553.6MiB allocated; 299ms collecting garbage
Stop Event
fuel
Compiler

Compiled 426 to 75 computations (82.4% saved)

preprocess89.0ms (1.1%)

Memory
41.8MiB live, 134.9MiB allocated; 14ms collecting garbage
Remove

(abs b)

(abs a)

Compiler

Compiled 1 022 to 270 computations (73.6% saved)

end0.0ms (0%)

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

Profiling

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