Bouland and Aaronson, Equation (26)

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample713.0ms (12.2%)

Memory
299.0MiB live, 299.0MiB allocated
Samples
481.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 327.0ms
ival-mult: 140.0ms (42.8% of total)
ival-pow2: 73.0ms (22.3% of total)
ival-add: 63.0ms (19.2% of total)
ival-sub: 34.0ms (10.4% of total)
exact: 8.0ms (2.4% of total)
ival-true: 6.0ms (1.8% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain165.0ms (2.8%)

Memory
92.1MiB live, 92.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
069(-3.970524789481575e-149 8.503909888655828e+173)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))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))nan-rescue690
↳(*.f64 b b)overflow69
↳(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow167
↳(*.f64 a a)overflow71
↳(+.f64 (*.f64 a a) (*.f64 b b))overflow117
↳(*.f64 b b)overflow69
↳(*.f64 #s(literal 4 binary64) (*.f64 b b))overflow69
Confusion
Predicted +Predicted -
+00
-69187
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-690187
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0187
169
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
37.0ms512×0valid
Compiler

Compiled 277 to 76 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42.3% of total)
ival-pow2: 5.0ms (23.5% of total)
ival-add: 4.0ms (18.8% of total)
ival-sub: 2.0ms (9.4% of total)
exact: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess172.0ms (2.9%)

Memory
46.7MiB live, 46.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02887
17887
219385
361085
4213785
5580485
01217
01917
13217
25017
314317
442617
5120117
6231017
7552817
8757817
0805315
Stop Event
1×iter limit
1×node limit
1×iter limit
1×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))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
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)

simplify132.0ms (2.3%)

Memory
41.3MiB live, 41.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff0
(-.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))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01264
01964
13264
25064
314364
442664
5120164
6231064
7552864
8757864
0805358
Stop Event
1×iter limit
1×node limit
1×iter 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))
(+.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
(-.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 (*.f64 #s(literal 4 binary64) b) b (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(*.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)

localize26.0ms (0.4%)

Memory
12.5MiB live, 12.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a a)
accuracy0.00390625
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy0.00390625
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.11166000976844201
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Samples
18.0ms256×0valid
Compiler

Compiled 130 to 26 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.4% of total)
ival-add: 2.0ms (19.2% of total)
ival-pow2: 2.0ms (19.2% of total)
ival-sub: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
6 → 32
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.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))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 a a)
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (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))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* 4 (pow b 2))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (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))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Calls

6 calls:

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

simplify151.0ms (2.6%)

Memory
49.1MiB live, 49.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079494
1240458
2671450
33124434
47168434
08189383
Stop Event
1×iter limit
1×node limit
Counts
32 → 32
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (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))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* 4 (pow b 2))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (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))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(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)))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow 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)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (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))))
(-.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(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)))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(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)))
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 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)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 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)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(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)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (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))))
(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)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))

rewrite148.0ms (2.5%)

Memory
63.5MiB live, 63.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
01956
17756
260456
0806646
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 530
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.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))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 a a)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 4 binary64) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)))) (fma.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))))))
(*.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64)) (*.f64 #s(literal 256 binary64) (pow.f64 b #s(literal 8 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 b #s(literal 12 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64)) (*.f64 #s(literal 4096 binary64) (pow.f64 b #s(literal 12 binary64)))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 262144 binary64) (pow.f64 b #s(literal 18 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 18 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 12 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -16 binary64) (pow.f64 b #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 b #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4 binary64) b) b)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 b b) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b (*.f64 (*.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))
(*.f64 b (*.f64 #s(literal 4 binary64) b))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval68.0ms (1.2%)

Memory
44.5MiB live, 44.5MiB allocated
Compiler

Compiled 20 767 to 1 797 computations (91.3% saved)

prune18.0ms (0.3%)

Memory
22.3MiB live, 22.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5438551
Fresh000
Picked101
Done000
Total5448552
Accuracy
100.0%
Counts
552 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶86.9%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶70.7%
(-.f64 #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(literal 1 binary64))
64.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶81.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
86.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
81.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
▶70.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Compiler

Compiled 426 to 282 computations (33.8% saved)

simplify156.0ms (2.7%)

Memory
42.0MiB live, 42.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
#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))))
cost-diff0
(-.f64 #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(literal 1 binary64))
cost-diff6144
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff128
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff0
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
#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)))
cost-diff0
(fma.f64 b b (*.f64 a a))
cost-diff0
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
cost-diff0
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff128
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038397
063389
1111389
2174389
3366389
4693389
51392389
62530389
76060389
87716389
08029380
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (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))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #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(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))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #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(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #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 #s(literal 4 binary64)) b) b))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)

localize91.0ms (1.5%)

Memory
37.0MiB live, 37.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #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(literal 1 binary64))
accuracy0
(*.f64 b b)
accuracy0.01171875
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy20.06019238101444
#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))))
accuracy0.00390625
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy1.0258008681324167
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
accuracy3.8372930045390863
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
accuracy14.809728986237818
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))
accuracy0
(*.f64 a a)
accuracy1.9430268859466135
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
accuracy3.349999068139973
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy23.8699395406864
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0
(*.f64 b b)
accuracy0.09994125976844201
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy18.765683485448392
#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)))
accuracy0
(*.f64 a a)
accuracy0.00390625
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy0.00390625
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.11166000976844201
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
Samples
62.0ms256×0valid
Compiler

Compiled 717 to 74 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 17.0ms (42.5% of total)
ival-add: 11.0ms (27.5% of total)
ival-pow2: 5.0ms (12.5% of total)
ival-pow: 3.0ms (7.5% of total)
ival-sub: 2.0ms (5% of total)
exact: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
22 → 60
Calls
Call 1
Inputs
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(fma.f64 b b (*.f64 a a))
#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))
(*.f64 b b)
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #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(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))))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 a a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow b 2)
(+ (pow a 2) (pow b 2))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 2)
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (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))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
4
(+ 4 (pow b 2))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (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))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@inf
((+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (pow (+ (* b b) (* a a)) 2) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 4 (* b b)) (* a a) (* (+ (* (* a a) 2) (* b b)) b))
3.0ms
b
@-inf
((+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (pow (+ (* b b) (* a a)) 2) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 4 (* b b)) (* a a) (* (+ (* (* a a) 2) (* b b)) b))
2.0ms
b
@0
((+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (pow (+ (* b b) (* a a)) 2) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 4 (* b b)) (* a a) (* (+ (* (* a a) 2) (* b b)) b))
2.0ms
a
@inf
((+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (pow (+ (* b b) (* a a)) 2) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 4 (* b b)) (* a a) (* (+ (* (* a a) 2) (* b b)) b))
2.0ms
a
@-inf
((+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (pow (+ (* b b) (* a a)) 2) (+ (* b b) (* a a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* a a) 2) (* b b)) b) b) (+ (* (* b b) 4) (pow b 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* 4 (* b b)) (* a a) (* (+ (* (* a a) 2) (* b b)) b))

simplify169.0ms (2.9%)

Memory
49.7MiB live, 49.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125740
1390704
21092696
34858684
08239610
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow b 2)
(+ (pow a 2) (pow b 2))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 2)
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (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))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
4
(+ 4 (pow b 2))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (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))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(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)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow 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)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(pow a 2)
(*.f64 a a)
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) a) a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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))))
(-.f64 (fma.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) a) a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 a a (*.f64 b b))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) b)
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(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)))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(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)))
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 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)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 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)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) b)
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(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)))
(* (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))))
(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)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(fma.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))

rewrite208.0ms (3.6%)

Memory
78.2MiB live, 78.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038335
063327
1302327
22096327
09895306
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 677
Calls
Call 1
Inputs
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(fma.f64 b b (*.f64 a a))
#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))
(*.f64 b b)
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #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(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))))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 a a)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
Outputs
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) b) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 6 binary64)))))
(fma.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 a b)) (/.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (+.f64 b a)) (/.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (-.f64 b a)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (/.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (+.f64 a b)) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 a b)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (/.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (+.f64 b a)) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 b a)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(fma.f64 b (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b))
(fma.f64 b (*.f64 b b) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (*.f64 #s(literal 2 binary64) (*.f64 a a))))

eval97.0ms (1.7%)

Memory
64.0MiB live, 64.0MiB allocated
Compiler

Compiled 36 177 to 2 804 computations (92.2% saved)

prune30.0ms (0.5%)

Memory
32.1MiB live, 32.1MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New74210752
Fresh303
Picked235
Done000
Total74713760
Accuracy
100.0%
Counts
760 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.9%
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
✓99.9%
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
64.0%
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶77.1%
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
✓81.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
▶60.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
52.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
81.4%
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
▶70.6%
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓70.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
48.4%
#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)))
51.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
▶20.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 709 to 437 computations (38.4% saved)

simplify170.0ms (2.9%)

Memory
46.5MiB live, 46.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a))
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
cost-diff0
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
cost-diff0
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048431
075425
1139425
2218425
3414425
4655425
51379425
62788425
76136425
08116410
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b)
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
(*.f64 a a)
a
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a)))
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a) a))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a) a)
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
(*.f64 a a)
a
#s(literal 1 binary64)

localize100.0ms (1.7%)

Memory
40.6MiB live, 40.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 a a)
accuracy0
(*.f64 #s(literal 2 binary64) b)
accuracy7.151650881636357
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
accuracy23.8699395406864
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a)))
accuracy1.9430268859466135
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
accuracy6.482346521396532
(*.f64 (*.f64 b b) a)
accuracy20.011374633711817
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
accuracy23.8699395406864
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.046875
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy0.1015625
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy18.765683485448392
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy18.765683485448392
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy36.374011524992476
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy0.00390625
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
accuracy1.0258008681324167
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)
accuracy3.8372930045390863
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b)
accuracy14.809728986237818
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
Samples
72.0ms256×0valid
Compiler

Compiled 727 to 94 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 28.0ms (54.4% of total)
ival-add: 13.0ms (25.3% of total)
ival-pow2: 6.0ms (11.7% of total)
ival-sub: 4.0ms (7.8% of total)
exact: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
24 → 75
Calls
Call 1
Inputs
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(*.f64 b b)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b)
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(*.f64 (*.f64 b b) a)
(*.f64 #s(literal 2 binary64) b)
(*.f64 a a)
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(pow b 2)
(+ (* 2 (pow a 2)) (pow b 2))
(* a (pow b 2))
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (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))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 b)
(* b (+ 4 (pow b 2)))
4
(+ 4 (pow b 2))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* 2 b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (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))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
Calls

6 calls:

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

simplify197.0ms (3.4%)

Memory
56.1MiB live, 56.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138967
1438943
21242935
33780877
46794877
08559791
Stop Event
1×iter limit
1×node limit
Counts
75 → 75
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(pow b 2)
(+ (* 2 (pow a 2)) (pow b 2))
(* a (pow b 2))
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (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))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 b)
(* b (+ 4 (pow b 2)))
4
(+ 4 (pow b 2))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* 2 b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (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))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow 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 #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow 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)))
(- (pow b 4) 1)
(-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(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)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a)
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* 2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 2 binary64))
(+ (* 2 (pow b 2)) (pow a 2))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(pow a 2)
(*.f64 a a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 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))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) b)
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 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)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 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)))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(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)))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(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)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(*.f64 (fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64))) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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))))
(+.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(fma.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64) (pow.f64 b #s(literal 3 binary64)))

rewrite165.0ms (2.8%)

Memory
58.2MiB live, 58.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048401
075395
1339392
22033392
08407365
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 369
Calls
Call 1
Inputs
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(*.f64 b b)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))
(fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b)
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(*.f64 (*.f64 b b) a)
(*.f64 #s(literal 2 binary64) b)
(*.f64 a a)
Outputs
(*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (*.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64))) (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64)) (-.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) #s(literal 1 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
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(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))
(fma.f64 a (*.f64 #s(literal 2 binary64) a) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 (neg.f64 b) b))))
(+.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 (*.f64 a b) b)
(*.f64 (*.f64 b b) a)
(*.f64 a (*.f64 b b))
(*.f64 b (*.f64 a b))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval64.0ms (1.1%)

Memory
40.4MiB live, 40.4MiB allocated
Compiler

Compiled 23 077 to 1 828 computations (92.1% saved)

prune24.0ms (0.4%)

Memory
22.1MiB live, 22.1MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New4426448
Fresh325
Picked235
Done033
Total44714461
Accuracy
100.0%
Counts
461 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.6%
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
✓99.9%
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
✓77.1%
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
59.0%
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* 2 b) b) (* a a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 a a))) #s(literal 1 binary64))
✓81.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
▶55.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
52.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
✓70.6%
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
▶48.4%
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓70.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶51.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
✓20.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
▶86.9%
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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)))
44.8%
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (pow.f64 a #s(literal 4 binary64)))
Compiler

Compiled 705 to 426 computations (39.6% saved)

simplify161.0ms (2.7%)

Memory
44.2MiB live, 44.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
cost-diff6144
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b))
cost-diff0
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
cost-diff0
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
cost-diff0
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
cost-diff0
(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))
cost-diff0
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056491
080491
1153491
2237491
3454489
4871489
52136489
64455489
77019489
08019460
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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)))
b
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))
(*.f64 (*.f64 a b) b)
(*.f64 a b)
a
b
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b))
(*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b)
#s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
Outputs
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #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))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #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)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
b
(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))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))
(*.f64 (*.f64 a b) b)
(*.f64 a b)
a
b
#s(literal 2 binary64)
#s(literal 1 binary64)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) (*.f64 b b))) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) (*.f64 b b)))
(*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) (*.f64 b b))
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b)
#s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))

localize111.0ms (1.9%)

Memory
44.5MiB live, 44.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 b b)
accuracy0.01171875
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy18.765683485448392
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
accuracy27.344621098604858
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
accuracy1.0258008681324167
(*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)
accuracy3.8372930045390863
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b)
accuracy14.809728986237818
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b))
accuracy24.588948464888674
#s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b))
accuracy0.1640625
(*.f64 (*.f64 a b) b)
accuracy1.9430268859466135
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)
accuracy20.011374633711817
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64)))
accuracy23.8699395406864
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a))
accuracy0.046875
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy0.1015625
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
accuracy18.765683485448392
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy34.96479596748735
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy0
(*.f64 a a)
accuracy0.9906446181324166
(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))
accuracy3.8372930045390863
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy13.164774259068572
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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)))
Samples
79.0ms256×0valid
Compiler

Compiled 805 to 107 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 28.0ms (48.4% of total)
ival-add: 16.0ms (27.7% of total)
ival-pow2: 6.0ms (10.4% of total)
ival-sub: 4.0ms (6.9% of total)
ival-pow: 3.0ms (5.2% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
24 → 87
Calls
Call 1
Inputs
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(*.f64 b b)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) 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))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(*.f64 a a)
(*.f64 (*.f64 a b) b)
#s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b))
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b)
(*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 2)
(* a (pow b 2))
(pow b 2)
(+ (* 2 (pow a 2)) (pow b 2))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (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))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
-1
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(+ 4 (* 2 (pow a 2)))
(- (* 4 (pow b 2)) 1)
(* 4 b)
4
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (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))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
Calls

6 calls:

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

simplify179.0ms (3%)

Memory
50.9MiB live, 50.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631201
15141157
215021148
340461095
467421095
08434981
Stop Event
1×iter limit
1×node limit
Counts
87 → 87
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(- (pow b 4) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 2)
(* a (pow b 2))
(pow b 2)
(+ (* 2 (pow a 2)) (pow b 2))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (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))))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
-1
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(+ 4 (* 2 (pow a 2)))
(- (* 4 (pow b 2)) 1)
(* 4 b)
4
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (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))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a)
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(- (pow b 4) 1)
(-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4)) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(pow b 2)
(*.f64 b b)
(+ (* 2 (pow a 2)) (pow b 2))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 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))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 a a) #s(literal -1 binary64))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) a) a (*.f64 b b))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))) (/ 1 (pow a 4))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 2) (+ 2 (/ (pow b 2) (pow a 2))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (pow b 4) (pow a 2))))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 b #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)))
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 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)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 4 (* 2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b)
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(+ 4 (* 2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
4
#s(literal 4 binary64)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(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)))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a #s(literal -1 binary64))
(- (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 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))))
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) a) (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))) (/ 1 (pow b 4))))
(fma.f64 (fma.f64 (/.f64 (/.f64 a b) b) (*.f64 a (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (*.f64 a (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)

rewrite153.0ms (2.6%)

Memory
53.0MiB live, 53.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056452
080450
1404450
22818450
08626413
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 289
Calls
Call 1
Inputs
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(*.f64 b b)
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) 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))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(*.f64 a a)
(*.f64 (*.f64 a b) b)
#s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b))
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b)
(*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)
Outputs
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)
(*.f64 b (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64))) b)) (neg.f64 (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) b)) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(/.f64 (neg.f64 (*.f64 b (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64))) b) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) b) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (*.f64 b (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(/.f64 (*.f64 b (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b (*.f64 #s(literal 4 binary64) b))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) b (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b))
(fma.f64 (*.f64 b b) b (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(fma.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal 4 binary64) b))
(fma.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (*.f64 b b) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b))
(fma.f64 b (*.f64 b b) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b))) (*.f64 #s(literal 4 binary64) b))
(+.f64 (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) b))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 b #s(literal 12 binary64)))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 b (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (pow.f64 b #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 b b) (-.f64 #s(literal 4 binary64) (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (*.f64 b b) (-.f64 #s(literal 4 binary64) (*.f64 b b)))))
(+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(*.f64 (*.f64 a b) b)
(*.f64 a (*.f64 b b))
(*.f64 (*.f64 b b) a)
(*.f64 b (*.f64 a b))
#s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b))
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b)
(*.f64 b #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)))
(*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)
(*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) (*.f64 b b))
(*.f64 (*.f64 b b) #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)))
(*.f64 b (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b))

eval49.0ms (0.8%)

Memory
32.1MiB live, 32.1MiB allocated
Compiler

Compiled 19 785 to 1 363 computations (93.1% saved)

prune25.0ms (0.4%)

Memory
21.5MiB live, 21.5MiB allocated
Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New3565361
Fresh123
Picked055
Done156
Total35817375
Accuracy
100.0%
Counts
375 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓70.6%
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
✓99.9%
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
✓77.1%
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
✓81.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
✓55.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
52.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
✓70.6%
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓48.4%
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓51.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
51.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
51.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
29.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
✓20.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
✓86.9%
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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)))
60.0%
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
44.8%
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (pow.f64 a #s(literal 4 binary64)))
63.8%
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
Compiler

Compiled 1 526 to 506 computations (66.8% saved)

regimes55.0ms (0.9%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* 2 b) b) (* a a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (pow.f64 a #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 #s(approx (+ (pow (+ (* b b) (* a a)) 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))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 #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(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #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 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Calls

6 calls:

10.0ms
a
9.0ms
b
9.0ms
(*.f64 b b)
9.0ms
(*.f64 a a)
9.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
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%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 a a)
99.9%1(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes52.0ms (0.9%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* 2 b) b) (* a a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (pow.f64 a #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 #s(approx (+ (pow (+ (* b b) (* a a)) 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))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
(-.f64 #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(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
Calls

6 calls:

9.0ms
a
9.0ms
b
8.0ms
(*.f64 b b)
8.0ms
(*.f64 a a)
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
97.6%2a
98.2%2b
86.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
86.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
97.6%2(*.f64 a a)
98.2%2(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes17.0ms (0.3%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* 2 b) b) (* a a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (pow.f64 a #s(literal 4 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
Calls

2 calls:

8.0ms
b
7.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.2%2b
98.2%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes15.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* 2 b) b) (* a a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 #s(approx (+ (* 2 (* a a)) (* b b)) (*.f64 b b)) b) b)) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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

2 calls:

7.0ms
b
7.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.2%2b
98.2%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes36.0ms (0.6%)

Memory
15.9MiB live, 15.9MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* 2 b) b) (* a a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
Outputs
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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:

6.0ms
a
6.0ms
b
6.0ms
(*.f64 b b)
6.0ms
(*.f64 a 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)))
Results
AccuracySegmentsBranch
86.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
86.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
86.9%1a
86.9%1(*.f64 a a)
86.9%1b
86.9%1(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes31.0ms (0.5%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) #s(approx (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* (* b b) 2) (* a a)) a) a) (*.f64 (*.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 a b) b) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* 2 b) b) (* a a)) (*.f64 (*.f64 b b) #s(literal 2 binary64))) (*.f64 a a))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64)))
Calls

6 calls:

5.0ms
a
5.0ms
b
5.0ms
(*.f64 b b)
5.0ms
(*.f64 a a)
5.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
83.2%2(*.f64 b b)
83.2%2b
86.8%2a
73.3%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))
73.3%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
86.8%2(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes22.0ms (0.4%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

6 calls:

4.0ms
a
4.0ms
b
3.0ms
(*.f64 a a)
3.0ms
(*.f64 b b)
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
70.6%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
70.6%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
70.6%1(*.f64 b b)
70.6%1b
70.6%1a
70.6%1(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes20.0ms (0.3%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

6 calls:

3.0ms
a
3.0ms
b
3.0ms
(*.f64 a a)
3.0ms
(*.f64 b b)
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
70.6%1b
70.6%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
70.6%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
70.6%1(*.f64 b b)
70.6%1a
70.6%1(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes19.0ms (0.3%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
Calls

6 calls:

3.0ms
a
3.0ms
b
3.0ms
(*.f64 b b)
3.0ms
(*.f64 a a)
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
70.3%2b
70.6%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))
70.6%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
70.3%2(*.f64 b b)
56.4%2a
56.4%2(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes15.0ms (0.3%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 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 (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

6 calls:

3.0ms
a
3.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
48.4%1a
48.4%1(*.f64 a a)
48.4%1b
48.4%1(*.f64 b b)
48.4%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))
48.4%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Compiler

Compiled 40 to 32 computations (20% saved)

regimes12.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))))
Calls

6 calls:

2.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 b b)
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
36.3%2(*.f64 a a)
36.3%2a
48.4%2b
48.7%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))
48.7%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
48.4%2(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes10.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

2.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
20.0%1a
20.0%1(*.f64 a a)
20.0%1b
20.0%1(*.f64 b b)
20.0%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
20.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6526969376218945e-8
8.493616844132987e-7
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6526969376218945e-8
8.493616844132987e-7
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.6526969376218945e-8
8.493616844132987e-7
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.077884425047918e+89
7.980484995050442e+92
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.009021191601516616
97.39825832531426
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.009021191601516616
97.39825832531426
Compiler

Compiled 20 to 17 computations (15% saved)

simplify31.0ms (0.5%)

Memory
19.4MiB live, 19.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092605
1113605
2119605
3129605
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (*.f64 a a) #s(literal 399999999999999997901466300767219729263178441802728702487766778927633234153231380547371008 binary64)) #s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #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 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.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 5764607523034235/576460752303423488 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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))))
#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)))
(if (<=.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 5764607523034235/576460752303423488 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) b) b)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 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 (*.f64 a a) #s(literal 399999999999999997901466300767219729263178441802728702487766778927633234153231380547371008 binary64)) #s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 399999999999999997901466300767219729263178441802728702487766778927633234153231380547371008 binary64)) #s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) #s(approx (+ (* (* b b) 4) (- (pow (+ (* a a) (* b b)) 2) 1)) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 #s(literal 2 binary64) (*.f64 a a))) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #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 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.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 5764607523034235/576460752303423488 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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 5764607523034235/576460752303423488 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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))))
#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)))
(if (<=.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 5764607523034235/576460752303423488 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness1.6s (28%)

Memory
13.4MiB live, 13.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056452
080450
1404450
22818450
08626413
01631201
15141157
215021148
340461095
467421095
08434981
038335
063327
1302327
22096327
09895306
079494
1240458
2671450
33124434
47168434
08189383
0125740
1390704
21092696
34858684
08239610
0138967
1438943
21242935
33780877
46794877
08559791
01256
01956
17756
260456
0806646
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 309 to 484 computations (63% saved)

preprocess81.0ms (1.4%)

Memory
42.5MiB live, 42.5MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 1 372 to 310 computations (77.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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