Bouland and Aaronson, Equation (26)

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.1s (13.2%)

Memory
10.7MiB live, 1 323.5MiB allocated
Samples
773.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 566.0ms
ival-mult: 267.0ms (47.2% of total)
ival-add: 105.0ms (18.6% of total)
ival-pow2: 100.0ms (17.7% of total)
ival-sub: 76.0ms (13.4% of total)
exact: 8.0ms (1.4% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain195.0ms (2.3%)

Memory
18.5MiB live, 217.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
00-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
00-0-#s(literal 4 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
00-0-(*.f64 b b)
01(9.708113303267447e+20 -1.5048986852012531e-162)0-(*.f64 #s(literal 4 binary64) (*.f64 b b))
00-0-#s(literal 2 binary64)
00-0-b
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
45.0ms512×0valid
Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 10.0ms (36.5% of total)
ival-sub: 6.0ms (21.9% of total)
ival-pow2: 5.0ms (18.3% of total)
ival-add: 4.0ms (14.6% of total)
exact: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess306.0ms (3.6%)

Memory
-9.0MiB live, 219.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02887
17887
219385
359885
4217285
5593185
01217
01917
13217
25017
314317
442617
5120117
6237117
7561817
8768917
0804515
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

simplify268.0ms (3.1%)

Memory
-5.5MiB live, 239.3MiB allocated
Algorithm
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-diff1
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff1
(+.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
6237164
7561864
8768964
0804558
Stop Event
iter limit
node limit
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)

localize44.0ms (0.5%)

Memory
2.2MiB live, 39.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 a a)
accuracy0.00390625
(+.f64 (*.f64 a a) (*.f64 b b))
accuracy0.006191259768442017
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.12890625
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Samples
20.0ms256×0valid
Compiler

Compiled 66 to 14 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (44.5% of total)
ival-add: 2.0ms (17.8% of total)
ival-pow2: 2.0ms (17.8% of total)
ival-sub: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB 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
2.0ms
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))

simplify229.0ms (2.7%)

Memory
42.7MiB live, 229.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079494
1240458
2671450
33123434
47175434
08202383
Stop Event
iter limit
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 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #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 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 b 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 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #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 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 b a) a))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #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 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 a b) b) (pow.f64 a #s(literal 4 binary64)))

rewrite269.0ms (3.1%)

Memory
-46.5MiB live, 330.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
01956
17756
260456
0816046
Stop Event
iter limit
node limit
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))))))
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.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)))) #s(literal 3 binary64))) (fma.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)))) (fma.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))))))))
(/.f64 (neg.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)))) (neg.f64 (-.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)))))
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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)))

eval83.0ms (1%)

Memory
39.4MiB live, 110.4MiB allocated
Compiler

Compiled 20 767 to 1 798 computations (91.3% saved)

prune14.0ms (0.2%)

Memory
-5.6MiB live, 31.1MiB 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))
84.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
100.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
71.2%
(-.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))
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
89.7%
(-.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))
81.9%
#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)))
71.2%
#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 436 to 288 computations (33.9% saved)

simplify190.0ms (2.2%)

Memory
-3.8MiB live, 205.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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-diff1
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff0
(*.f64 b b)
cost-diff0
(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))) (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-diff0
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
cost-diff0
#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))
cost-diff0
(-.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))
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
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff3
(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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037399
060394
1102394
2158394
3326394
4730394
51569386
62767386
76248386
08191374
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(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)))
(*.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)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #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 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))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.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)
(-.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)
(-.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)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(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)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 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)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #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 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))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.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)
(-.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)
(-.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))
(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 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (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)

localize85.0ms (1%)

Memory
-4.0MiB live, 150.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 b b)
accuracy0.0
(*.f64 a a)
accuracy0.006191259768442017
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.12890625
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
accuracy0.0
(-.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))
accuracy0.0
(*.f64 b b)
accuracy0.010097509768442016
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy19.68361617518959
#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
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
accuracy2.4011746902941007
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
accuracy4.061461555283521
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy14.428225528555835
#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))
accuracy0.0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.08984375
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy18.404545406266646
#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)))
accuracy0.0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
accuracy0.00390625
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
accuracy0.015625
(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)))
accuracy4.061461555283521
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
Samples
60.0ms256×0valid
Compiler

Compiled 334 to 32 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-add: 13.0ms (33% of total)
ival-mult: 11.0ms (28% of total)
ival-pow: 7.0ms (17.8% of total)
ival-pow2: 5.0ms (12.7% of total)
ival-sub: 2.0ms (5.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-14.2MiB live, 24.5MiB allocated
Counts
21 → 62
Calls
Call 1
Inputs
(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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) 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)))
(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 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))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(-.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 (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))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 a a)
Outputs
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (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)
(+ (* 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)))
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(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))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (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))) (/ (* (pow b 2) (+ 4 (pow b 2))) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* (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))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 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))
(- (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)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
4
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* 4 (pow b 2))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ 4 (* 2 (pow a 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 3)
(* (pow b 3) (+ 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 2) (+ 1 (* 4 (/ 1 (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)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Calls

6 calls:

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

simplify212.0ms (2.5%)

Memory
18.1MiB live, 190.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122832
1388772
21103758
34697742
47350742
08159652
Stop Event
iter limit
node limit
Counts
62 → 62
Calls
Call 1
Inputs
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (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)
(+ (* 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)))
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(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))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (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))) (/ (* (pow b 2) (+ 4 (pow b 2))) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* (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))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 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))
(- (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)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
4
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* 4 (pow b 2))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ 4 (* 2 (pow a 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 3)
(* (pow b 3) (+ 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 2) (+ 1 (* 4 (/ 1 (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)))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Outputs
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2))))
(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)))
(- (+ (* 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.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)))
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* 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)))
(* 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)
(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 a a) b) #s(literal 2 binary64)) b (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 b b) #s(literal 2 binary64) (*.f64 a a)) 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))
(+ 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)))
(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)))))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) a) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #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))))
(-.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))) (+ (* 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)))
(* 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) (pow b 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(* (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 a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 a a (*.f64 b 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 a a) #s(literal 2 binary64) (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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.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)))
(* 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)
-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)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.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))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (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 (* 2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.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 3)
(pow.f64 b #s(literal 3 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 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(* (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 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b (pow.f64 b #s(literal 4 binary64)))
(* (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)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b 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)))
(* -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)))

rewrite305.0ms (3.6%)

Memory
-27.1MiB live, 295.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037328
060321
1302321
22099321
09453301
Stop Event
iter limit
node limit
iter limit
Counts
21 → 667
Calls
Call 1
Inputs
(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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) 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)))
(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 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))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(-.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 (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))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 a a)
Outputs
(*.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)) (pow.f64 a #s(literal 8 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 8 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 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 (pow.f64 a #s(literal 4 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 (-.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)) (pow.f64 a #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 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 (pow.f64 a #s(literal 4 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 (-.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)) (pow.f64 a #s(literal 8 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal 8 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) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 binary64))) (+.f64 (pow.f64 a #s(literal 8 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) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 8 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 8 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 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)) (pow.f64 a #s(literal 12 binary64)))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 b (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) (pow.f64 a #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))) (/.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 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))))
(-.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)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (/.f64 (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 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 b b #s(literal 4 binary64)))
(+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(+.f64 (*.f64 b b) (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))
(+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 b b)))
(*.f64 (*.f64 #s(literal 4 binary64) b) b)
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b (*.f64 #s(literal 4 binary64) b))
(*.f64 a a)
(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)))

eval104.0ms (1.2%)

Memory
24.9MiB live, 248.1MiB allocated
Compiler

Compiled 40 086 to 3 073 computations (92.3% saved)

prune60.0ms (0.7%)

Memory
-22.2MiB live, 107.8MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New8068814
Fresh123
Picked235
Done000
Total80913822
Accuracy
100.0%
Counts
822 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
71.2%
(-.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))
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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))
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
89.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
64.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
70.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
54.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
81.9%
#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)))
71.2%
#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)))
51.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)))
24.7%
#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 767 to 464 computations (39.5% saved)

simplify166.0ms (1.9%)

Memory
34.0MiB live, 214.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
cost-diff0
#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)))
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
(*.f64 a a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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))
cost-diff7
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046510
069500
1125497
2190491
3384491
4802491
51565485
62709485
76212485
08185459
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(*.f64 a a)
a
(*.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)
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
b
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* 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 (+ (* 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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (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))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b)
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64)))
(*.f64 a a)
a
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
b
(fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* 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 (+ (* 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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (*.f64 b b)))
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) (*.f64 b b))
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) b)
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) a) a)
(*.f64 a a)
a
#s(literal 2 binary64)
b
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) 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))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b))
#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))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal 1 binary64)

localize146.0ms (1.7%)

Memory
-7.0MiB live, 235.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) a)
accuracy2.4011746902941007
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)
accuracy4.061461555283521
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b)
accuracy14.428225528555835
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b))
accuracy2.4011746902941007
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
accuracy4.061461555283521
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
accuracy14.428225528555835
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
accuracy36.80632412492584
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
accuracy0.02734375
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
accuracy0.09375
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy18.404545406266646
#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)))
accuracy29.10318420879058
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
accuracy18.404545406266646
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy34.21554963406973
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy0.00390625
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
accuracy0.04296875
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
accuracy2.4011746902941007
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)
accuracy4.061461555283521
(*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)
Samples
66.0ms256×0valid
Compiler

Compiled 358 to 37 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 27.0ms (60.7% of total)
ival-add: 12.0ms (27% of total)
ival-pow2: 3.0ms (6.7% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series36.0ms (0.4%)

Memory
-6.4MiB live, 30.7MiB allocated
Counts
23 → 53
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)))
(*.f64 a a)
#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 (+ (* 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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (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))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) a)
Outputs
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (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)
(+ (* 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 a 2)
(* 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)))
(* 2 a)
(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))) (/ (* (pow b 2) (+ 4 (pow b 2))) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (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 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)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 (pow b 2))
(* 4 b)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(+ 4 (* 2 (pow a 2)))
(pow b 4)
(* (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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
b
@inf
((+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) b) (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b) (+ (* b b) (+ (* 2 (* a a)) 4)) (+ (* b b) (+ (* (* a a) 2) 4)) (* 2 a))
4.0ms
a
@0
((+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) b) (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b) (+ (* b b) (+ (* 2 (* a a)) 4)) (+ (* b b) (+ (* (* a a) 2) 4)) (* 2 a))
4.0ms
b
@-inf
((+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) b) (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b) (+ (* b b) (+ (* 2 (* a a)) 4)) (+ (* b b) (+ (* (* a a) 2) 4)) (* 2 a))
3.0ms
a
@-inf
((+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) b) (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b) (+ (* b b) (+ (* 2 (* a a)) 4)) (+ (* b b) (+ (* (* a a) 2) 4)) (* 2 a))
3.0ms
a
@inf
((+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* (* (+ (* b b) 4) b) b) (* (+ (* b b) 4) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) b) (* (+ (* (* 2 a) a) (+ (* b b) 4)) b) (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b) (+ (* b b) (+ (* 2 (* a a)) 4)) (+ (* b b) (+ (* (* a a) 2) 4)) (* 2 a))

simplify417.0ms (4.8%)

Memory
22.0MiB live, 341.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107703
1334639
2991629
33934611
46557611
08160534
Stop Event
iter limit
node limit
Counts
53 → 53
Calls
Call 1
Inputs
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (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)
(+ (* 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 a 2)
(* 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)))
(* 2 a)
(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))) (/ (* (pow b 2) (+ 4 (pow b 2))) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (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 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)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 (pow b 2))
(* 4 b)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(+ 4 (* 2 (pow a 2)))
(pow b 4)
(* (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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Outputs
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2))))
(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)))
(- (+ (* 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.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)))
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* 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)))
(pow a 2)
(*.f64 a a)
(* 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)))
(* 2 a)
(*.f64 #s(literal 2 binary64) 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))) (/ (* (pow b 2) (+ 4 (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)))
(* (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))) (+ (* 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)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (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 a a) #s(literal 2 binary64) (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 #s(literal 2 binary64) a) a #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)))
(- (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 #s(literal 2 binary64) a) a #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)
(- (* 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 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(* b (+ 4 (* 2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #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 #s(literal 2 binary64) a) a #s(literal 4 binary64))
(pow b 4)
(pow.f64 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.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 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(* (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 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(* (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)
(*.f64 b 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)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a a) #s(literal -4 binary64)) (neg.f64 b) (pow.f64 b #s(literal 3 binary64)))

rewrite578.0ms (6.7%)

Memory
-119.7MiB live, 199.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046462
069449
1298443
22027443
08429412
Stop Event
iter limit
node limit
iter limit
Counts
23 → 394
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)))
(*.f64 a a)
#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 (+ (* 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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b))
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)
(*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (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))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) a)
Outputs
(*.f64 (-.f64 (pow.f64 a #s(literal 8 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))) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.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)) (pow.f64 a #s(literal 12 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)) (-.f64 (pow.f64 a #s(literal 8 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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 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)) (pow.f64 a #s(literal 12 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.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)) (pow.f64 a #s(literal 8 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 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 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 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 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)) (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 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))))
(/.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)) (pow.f64 a #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 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 (pow.f64 a #s(literal 4 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 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) 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 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 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 (pow.f64 a #s(literal 4 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 (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)) (pow.f64 a #s(literal 12 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 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) b) (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b)))))
(/.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)) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)) (-.f64 (pow.f64 a #s(literal 8 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) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 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)) (pow.f64 a #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b)) (-.f64 (pow.f64 a #s(literal 8 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 (fma.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (-.f64 (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 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)) (pow.f64 a #s(literal 12 binary64)))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 b (*.f64 (fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64))) b) (pow.f64 a #s(literal 4 binary64)))
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(/.f64 (-.f64 (pow.f64 (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 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal -4 binary64)) (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (fma.f64 b b #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))))))
(/.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))) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal -4 binary64)) (*.f64 b b)))
(/.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))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 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))) (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 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (fma.f64 b b #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) 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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (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))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal -4 binary64)) (*.f64 b b)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) 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)))))
(/.f64 #s(literal 1 binary64) (/.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 (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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal -4 binary64)) (*.f64 b b)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a)))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -16 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 b b))
(fma.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 b b #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) #s(literal 8 binary64)))) #s(literal -1 binary64)) (*.f64 b b))
(fma.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 b b (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))
(fma.f64 a (*.f64 #s(literal 2 binary64) a) (fma.f64 b b #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) #s(literal 4 binary64)) (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))) (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))) (/.f64 (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 (*.f64 #s(literal 2 binary64) a) a))))
(-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal -4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal -4 binary64)) (*.f64 b b))))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) a) (fma.f64 b b #s(literal 4 binary64)))
(+.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(+.f64 (*.f64 b b) (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))
(+.f64 #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)))
#s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 #s(literal 2 binary64) a) a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))

eval82.0ms (1%)

Memory
-13.4MiB live, 66.7MiB allocated
Compiler

Compiled 23 368 to 1 775 computations (92.4% saved)

prune31.0ms (0.4%)

Memory
-5.5MiB live, 33.2MiB allocated
Pruning

16 alts after pruning (10 fresh and 6 done)

PrunedKeptTotal
New3837390
Fresh235
Picked145
Done123
Total38716403
Accuracy
100.0%
Counts
403 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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))
99.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
64.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
70.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
84.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64))
54.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
81.9%
#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)))
71.2%
#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)))
51.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
47.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))))
47.9%
#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))))
47.9%
#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)))
27.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
24.7%
#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 983 to 557 computations (43.3% saved)

simplify207.0ms (2.4%)

Memory
30.6MiB live, 138.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 b #s(literal 4 binary64))
cost-diff0
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
cost-diff0
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
cost-diff0
(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))
cost-diff0
#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)))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
cost-diff0
#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))))
cost-diff0
#s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b))
cost-diff0
(*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
cost-diff0
(*.f64 a a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
cost-diff4
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049529
070511
1127502
2188490
3384490
4795490
51564484
62789484
76389484
87885484
08046457
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))
(*.f64 a a)
a
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b)
#s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b))
(*.f64 b 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 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b))
(*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)
#s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b))
(*.f64 #s(literal 4 binary64) b)
#s(literal 4 binary64)
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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 b b)
#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)))
(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))
(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)
(*.f64 b b)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (fma.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)))
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (fma.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))
(fma.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(*.f64 a a)
a
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b)
#s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b))
(*.f64 b 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 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b))
(*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)
#s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b))
(*.f64 #s(literal 4 binary64) b)
#s(literal 4 binary64)
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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 b b)
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(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))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #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)
(*.f64 b b)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal 1 binary64)

localize83.0ms (1%)

Memory
3.1MiB live, 79.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 b #s(literal 4 binary64))
accuracy0.0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy0.0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
accuracy26.869272247798193
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))
accuracy0.0
(*.f64 a a)
accuracy0.00390625
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
accuracy6.573121682842611
(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))
accuracy13.082205576252028
#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)))
accuracy0.0
(*.f64 b b)
accuracy0.09994125976844201
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
accuracy18.404545406266646
#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))))
accuracy29.10318420879058
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
accuracy0.02734375
(*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)
accuracy18.404545406266646
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
accuracy29.10318420879058
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b))
accuracy32.34266618783283
#s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b))
accuracy0.04296875
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))
accuracy2.4011746902941007
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)
accuracy4.061461555283521
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b)
accuracy35.61835803110646
#s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b))
Samples
63.0ms256×0valid
Compiler

Compiled 325 to 35 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 26.0ms (56.3% of total)
ival-add: 10.0ms (21.6% of total)
ival-pow2: 5.0ms (10.8% of total)
ival-pow: 3.0ms (6.5% of total)
ival-sub: 1.0ms (2.2% of total)
exact: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
24 → 60
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b))
(*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)
#s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) 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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
(fma.f64 b b #s(literal 4 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)))
(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))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b))
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b)
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)
(*.f64 b b)
Outputs
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (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)
(+ (* 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 a 2)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
4
(+ 4 (* 2 (pow a 2)))
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 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))) (/ (* (pow b 2) (+ 4 (pow b 2))) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (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))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 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))
(- (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
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* 4 b)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(pow b 4)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (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))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Calls

6 calls:

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

simplify259.0ms (3%)

Memory
-23.5MiB live, 181.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116864
1366806
21103782
34302770
46326770
08563681
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (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)
(+ (* 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 a 2)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
4
(+ 4 (* 2 (pow a 2)))
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 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))) (/ (* (pow b 2) (+ 4 (pow b 2))) (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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* 2 (* (pow a 2) (pow b 2)))
(* (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))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 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))
(- (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
(- (* 4 (pow b 2)) 1)
(* 4 (pow b 2))
(* 4 b)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(pow b 4)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 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 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (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))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Outputs
(* (pow b 2) (+ 4 (pow b 2)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (* (pow b 2) (+ 4 (pow b 2))))
(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)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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 (*.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)))
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(+ (* 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)))
(pow a 2)
(*.f64 a a)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(+ 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
#s(literal 4 binary64)
(+ 4 (* 2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 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)
(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) (/.f64 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))) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 4)))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) a) (/.f64 (fma.f64 b b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #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 (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) a) (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 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))))))
(*.f64 (+.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) a) (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(* 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 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 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)
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* (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)))
(- (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)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(- (* (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 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 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)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(pow b 2)
(*.f64 b b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.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))))) (/ 1 (pow b 4))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(pow b 3)
(pow.f64 b #s(literal 3 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))))) (/ 1 (pow b 4))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) 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)))

rewrite337.0ms (3.9%)

Memory
19.9MiB live, 212.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049502
071475
1304463
21991463
08147432
Stop Event
iter limit
node limit
iter limit
Counts
24 → 283
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)))
(*.f64 a a)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b))
(*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)
#s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) 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 (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
(fma.f64 b b #s(literal 4 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)))
(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))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b))
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b)
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)
(*.f64 b b)
Outputs
(*.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 a #s(literal 8 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 a #s(literal 8 binary64))) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))) (-.f64 (pow.f64 a #s(literal 8 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64)))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(fma.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 b (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))))
(+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b)) (pow.f64 a #s(literal 4 binary64)))
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(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))))
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) b)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b (pow.f64 b #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 b #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
#s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b))
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b)
(*.f64 b #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)))
(*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b)
(*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) (*.f64 b b))
(*.f64 (*.f64 b b) #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)))
(*.f64 b (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b))
(*.f64 b b)
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))

eval121.0ms (1.4%)

Memory
9.3MiB live, 84.9MiB allocated
Compiler

Compiled 22 031 to 1 397 computations (93.7% saved)

prune153.0ms (1.8%)

Memory
-37.8MiB live, 94.5MiB allocated
Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New3564360
Fresh055
Picked145
Done066
Total35719376
Accuracy
100.0%
Counts
376 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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))
99.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
64.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
70.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
84.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64))
54.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
81.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
71.2%
#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)))
51.1%
#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)))
65.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
59.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
31.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
47.9%
#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)))))
47.9%
#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))))
47.9%
#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)))
27.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
24.7%
#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 1 720 to 570 computations (66.9% saved)

regimes65.0ms (0.8%)

Memory
16.8MiB live, 54.4MiB allocated
Counts
28 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* 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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #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 (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 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 (+ (* 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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #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 (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) 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)))))
(-.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))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
Calls

6 calls:

27.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
8.0ms
b
8.0ms
a
7.0ms
(*.f64 b b)
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%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))
100.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
100.0%1(*.f64 a a)
100.0%1(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes125.0ms (1.5%)

Memory
-5.2MiB live, 73.8MiB allocated
Counts
27 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* 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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #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 (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 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 (+ (* 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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (fma.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a) #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 (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) 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)))))
(-.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))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (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 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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))
Calls

6 calls:

52.0ms
b
45.0ms
(*.f64 a a)
7.0ms
a
7.0ms
(*.f64 b b)
7.0ms
(+.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)

regimes32.0ms (0.4%)

Memory
-0.0MiB live, 74.4MiB 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* 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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #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 (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 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 (+ (* 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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
Calls

6 calls:

6.0ms
b
6.0ms
(*.f64 a a)
5.0ms
a
5.0ms
(*.f64 b b)
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
99.3%1a
99.3%1b
99.3%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.3%1(*.f64 a a)
99.3%1(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes34.0ms (0.4%)

Memory
11.6MiB live, 55.6MiB allocated
Counts
16 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* 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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #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 (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 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 (+ (* 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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #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 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64))
Calls

6 calls:

10.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
5.0ms
a
5.0ms
b
4.0ms
(*.f64 b b)
4.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
99.3%2a
98.9%2b
89.7%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))
89.7%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.3%2(*.f64 a a)
98.9%2(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes12.0ms (0.1%)

Memory
-4.6MiB live, 31.7MiB 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* 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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #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 (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64))
Calls

2 calls:

6.0ms
(*.f64 a a)
5.0ms
a
Results
AccuracySegmentsBranch
99.3%2a
99.3%2(*.f64 a a)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes26.0ms (0.3%)

Memory
22.4MiB live, 58.5MiB allocated
Counts
13 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 (+ (* 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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
Outputs
#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)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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:

7.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
4.0ms
(*.f64 a a)
4.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
81.9%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))
81.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
89.7%2b
89.7%2(*.f64 b b)
89.7%2a
89.7%2(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes19.0ms (0.2%)

Memory
-17.8MiB live, 65.4MiB allocated
Counts
11 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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

4 calls:

7.0ms
a
4.0ms
b
3.0ms
(*.f64 a a)
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
84.4%2(*.f64 b b)
89.7%2a
84.4%2b
89.7%2(*.f64 a a)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.2%)

Memory
12.4MiB live, 51.1MiB allocated
Counts
10 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 a b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) (*.f64 b a)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
Calls

6 calls:

5.0ms
a
3.0ms
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)))
3.0ms
(*.f64 a a)
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
71.2%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))
71.2%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
76.6%2(*.f64 b b)
76.6%2b
81.9%2a
81.9%2(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-25.5MiB live, 13.6MiB allocated
Counts
7 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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 (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) a))))
Calls

2 calls:

3.0ms
(*.f64 a a)
3.0ms
a
Results
AccuracySegmentsBranch
79.6%2a
79.6%2(*.f64 a a)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes15.0ms (0.2%)

Memory
-8.0MiB live, 31.3MiB allocated
Counts
6 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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:

2.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
71.2%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))
71.2%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
71.2%1b
71.2%1(*.f64 b b)
71.2%1a
71.2%1(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes13.0ms (0.1%)

Memory
23.4MiB live, 23.4MiB allocated
Counts
5 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
#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:

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
58.8%2a
71.2%2b
71.4%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
71.4%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
58.8%2(*.f64 a a)
71.2%2(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes28.0ms (0.3%)

Memory
-32.1MiB live, 17.9MiB allocated
Counts
3 → 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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)))
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:

20.0ms
a
2.0ms
b
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
51.1%1a
51.1%1(*.f64 a a)
51.1%1b
51.1%1(*.f64 b b)
51.1%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
51.1%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)

regimes9.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #s(literal 4 binary64) b)) b)))
Calls

6 calls:

1.0ms
a
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
b
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
51.0%2b
51.0%2(*.f64 b b)
39.0%2a
51.3%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))
51.3%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
39.0%2(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes7.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB 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:

1.0ms
a
1.0ms
b
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
24.7%1a
24.7%1(*.f64 a a)
24.7%1b
24.7%1(*.f64 b b)
24.7%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
24.7%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
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.384497444394851e+28
9.424746390907838e+41
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.384497444394851e+28
9.424746390907838e+41
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.8452095320722753e+151
6.879685894064738e+158
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.384497444394851e+28
9.424746390907838e+41
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.424746390907838e+41
1.8071913920341847e+54
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.384497444394851e+28
9.424746390907838e+41
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3210068048274646e-13
64971581632699.9
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3210068048274646e-13
64971581632699.9
Compiler

Compiled 20 to 17 computations (15% saved)

simplify62.0ms (0.7%)

Memory
0.2MiB live, 39.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0113860
1169856
2239856
3461856
4912856
52057844
64245844
77601844
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 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)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 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))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 49999999999999995716575428608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #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 1000000000000000044885712678075916785549312 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 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 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) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) 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)))
(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 3961408125713217/19807040628566084398385987584 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 3961408125713217/19807040628566084398385987584 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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) #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (fma.f64 (*.f64 a a) (*.f64 a a) (*.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(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 b b)) b) b))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 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)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 binary64)) (-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 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)) (-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 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))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.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 50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 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))) (-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #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 49999999999999995716575428608 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 #s(approx (+ (* (* a a) (* a a)) (* (* (+ (* b b) (+ (* 2 (* a a)) 4)) b) b)) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 1000000000000000044885712678075916785549312 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 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 1000000000000000044885712678075916785549312 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 #s(approx (+ (* b b) (+ (* 2 (* a a)) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 49999999999999995716575428608 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) #s(approx (+ (* (+ (* b b) (+ (* (* a a) 2) 4)) (* b b)) -1) (*.f64 (*.f64 (*.f64 b a) b) (*.f64 #s(literal 2 binary64) 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)))
(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 3961408125713217/19807040628566084398385987584 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 3961408125713217/19807040628566084398385987584 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) (*.f64 #s(approx (* (+ (* b b) 4) b) (*.f64 #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) #s(literal -1 binary64)))

soundness1.8s (21.3%)

Memory
21.7MiB live, 964.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037328
060321
1302321
22099321
09453301
0107703
1334639
2991629
33934611
46557611
08160534
0122832
1388772
21103758
34697742
47350742
08159652
079494
1240458
2671450
33123434
47175434
08202383
0116864
1366806
21103782
34302770
46326770
08563681
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 245 to 382 computations (69.3% saved)

preprocess141.0ms (1.6%)

Memory
-7.2MiB live, 227.3MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 2 554 to 642 computations (74.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...