Bouland and Aaronson, Equation (26)

Time bar (total: 7.1s)

start0.0ms (0%)

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

analyze26.0ms (0.4%)

Memory
-57.8MiB live, 1.8MiB allocated; 32ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.3s (18.8%)

Memory
-11.6MiB live, 1 634.2MiB allocated; 388ms collecting garbage
Samples
1.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 549.0ms
ival-mult: 239.0ms (43.5% of total)
ival-pow2: 135.0ms (24.6% of total)
ival-add: 112.0ms (20.4% of total)
ival-sub: 41.0ms (7.5% of total)
exact: 9.0ms (1.6% of total)
ival-true: 6.0ms (1.1% of total)
ival-assert: 3.0ms (0.5% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

explain234.0ms (3.3%)

Memory
29.7MiB live, 263.7MiB allocated; 28ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
00-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
00-0-#s(literal 4 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(*.f64 #s(literal 4 binary64) (*.f64 b b))
00-0-#s(literal 2 binary64)
00-0-b
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
67.0ms512×0valid
Compiler

Compiled 149 to 40 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-sub: 29.0ms (58.3% of total)
ival-mult: 10.0ms (20.1% of total)
ival-pow2: 5.0ms (10.1% of total)
ival-add: 4.0ms (8% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess270.0ms (3.8%)

Memory
-25.9MiB live, 271.5MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02887
19187
225087
370187
4234285
01217
01917
14417
213417
347917
4165717
5637717
0803315
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
Symmetry

(abs b)

(abs a)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify173.0ms (2.4%)

Memory
34.3MiB live, 224.0MiB allocated; 25ms collecting garbage
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
14464
213464
347964
4165764
5637764
0803358
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(+.f64 (*.f64 a a) (*.f64 b b))
(*.f64 a a)
a
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.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)

localize49.0ms (0.7%)

Memory
-17.4MiB live, 28.9MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.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))
accuracy0.0078125
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy0.03191376953688403
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.0859375
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Samples
41.0ms256×0valid
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 (45.3% of total)
ival-add: 2.0ms (18.1% of total)
ival-pow2: 2.0ms (18.1% of total)
ival-sub: 1.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Counts
5 → 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))
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 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)
(* (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)))
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)))
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)))
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)))
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)))

simplify274.0ms (3.8%)

Memory
10.1MiB live, 240.6MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079536
1246492
2958492
37362492
08570446
Stop Event
1×iter limit
1×node limit
Counts
32 → 32
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 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)
(* (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 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b)
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(pow a 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 b a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.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 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 b a) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 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))) (/ (pow b 4) (pow a 4)))))
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 b a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (-.f64 (/.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 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 1 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))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 2 binary64)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.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)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.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)))

rewrite142.0ms (2%)

Memory
-25.7MiB live, 85.8MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01253
01953
19053
085147
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 143
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))
Outputs
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 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 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 b b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 b b)))))
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a a))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) (fabs.f64 (fma.f64 b b (*.f64 a a))) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) (*.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)))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #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 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (*.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (fma.f64 b b (*.f64 a a))))
(-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) b)) b))
(-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 b) 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 6 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64)))) (/.f64 (*.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64)))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(*.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 b b) (*.f64 a a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 b b))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 a a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 a a (*.f64 b b))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (fabs.f64 a)) (fabs.f64 a)))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(-.f64 (*.f64 b b) (*.f64 a (neg.f64 a)))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b)))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (*.f64 b b) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) b))
(+.f64 (*.f64 a a) (*.f64 b b))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.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)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (fma.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)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 2 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 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 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 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) (fabs.f64 (fma.f64 b b (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) (fma.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)))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+.f64 (fma.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)))
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 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)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 b b (*.f64 a a))) (neg.f64 (fma.f64 b b (*.f64 a a))))
(*.f64 (fabs.f64 (fma.f64 b b (*.f64 a a))) (fabs.f64 (fma.f64 b b (*.f64 a a))))
(*.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 b b (*.f64 a a)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 b b (*.f64 a a))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 b b (*.f64 a a))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)))
(fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))
(fma.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))
(exp.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 b b (*.f64 a a))) (*.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a))))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)))
(+.f64 (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 a a)) (*.f64 (fma.f64 b b (*.f64 a a)) (*.f64 b b)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 b b (*.f64 a a))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 #s(literal 4 binary64) b) b)
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 4 binary64)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b (*.f64 #s(literal 4 binary64) b))

eval20.0ms (0.3%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 584 to 678 computations (85.2% saved)

prune36.0ms (0.5%)

Memory
-35.0MiB live, 12.0MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1657172
Fresh000
Picked101
Done000
Total1667173
Accuracy
100.0%
Counts
173 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
18.4%
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
▶86.5%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
70.3%
(-.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))
▶69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶85.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
▶70.3%
#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 388 to 232 computations (40.2% saved)

simplify199.0ms (2.8%)

Memory
37.1MiB live, 129.2MiB allocated; 19ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 a #s(literal 4 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
cost-diff1
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
cost-diff0
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
cost-diff0
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 b b (*.f64 a a))
cost-diff4
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036339
060328
1134328
2498326
32259325
47409325
08339322
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
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 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
(fma.f64 b b #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b)
(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)
#s(literal -1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)

localize98.0ms (1.4%)

Memory
-6.1MiB live, 83.5MiB allocated; 7ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 a #s(literal 4 binary64))
accuracy0.00390625
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy25.89149018733918
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
accuracy0.03191376953688403
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy1.7548230964349467
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
accuracy3.659654343924859
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy18.7053956140704
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
accuracy0.0
(*.f64 a a)
accuracy2.6079139256665975
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
accuracy3.11165923020182
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy15.285951547332086
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
accuracy0.0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.046875
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy19.00052475395724
#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
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.0
(*.f64 a a)
accuracy0.05078125
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
Samples
79.0ms256×0valid
Compiler

Compiled 289 to 33 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 33.0ms (54% of total)
ival-pow2: 12.0ms (19.6% of total)
ival-add: 11.0ms (18% of total)
ival-pow: 3.0ms (4.9% of total)
ival-sub: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.5%)

Memory
-14.7MiB live, 29.1MiB allocated; 7ms collecting garbage
Counts
21 → 70
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
(fma.f64 b b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 2)
(+ (pow a 2) (pow b 2))
(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)
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(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))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 4)
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 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) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
-1
(- (* 4 (pow b 2)) 1)
4
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(+ 4 (* 2 (pow a 2)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* 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))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 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))) (* 4 (/ 1 (pow b 2))))) (/ 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 2) (+ 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)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
b
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
3.0ms
b
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms
b
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))
2.0ms
a
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* 4 (* b b)) -1) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (* b b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) -1) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (+ (* b b) (+ (* (* a a) 2) 4)) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* (* (+ (* (* b b) 2) (* a a)) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow a 4) (* (+ (* (* b b) 2) (* a a)) a) (* 4 (* b b)))

simplify282.0ms (3.9%)

Memory
9.6MiB live, 301.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0143965
1459909
21782908
37414900
09352818
Stop Event
1×iter limit
1×node limit
Counts
70 → 70
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 2)
(+ (pow a 2) (pow b 2))
(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)
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(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))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(pow a 4)
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 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) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
-1
(- (* 4 (pow b 2)) 1)
4
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(+ 4 (* 2 (pow a 2)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* 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))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 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))) (* 4 (/ 1 (pow b 2))))) (/ 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 2) (+ 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)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Outputs
(- (+ (* 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 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(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 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 a b) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) a) (*.f64 b b) #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 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (neg.f64 b) b #s(literal -4 binary64)) (*.f64 b b) #s(literal 1 binary64)) (*.f64 a a))) a) a)
(* 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 (*.f64 (*.f64 a a) b) (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 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)))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.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))))))
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal -2 binary64)) (*.f64 b b)) (*.f64 a a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal -1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) a) a) (*.f64 b b) #s(literal 1 binary64)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) b) (/.f64 (/.f64 b a) a) #s(literal -1 binary64)))
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 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
#s(literal 4 binary64)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 4 (* 2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b)
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(+ 4 (* 2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(+ (* (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 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* 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 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a a) #s(literal -4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (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) (- 4 (/ 1 (pow b 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b) b)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 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))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 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 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a a #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 a b) b) (*.f64 #s(literal 2 binary64) a) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a a) #s(literal -4 binary64)) b) b) #s(literal 1 binary64)))

rewrite155.0ms (2.2%)

Memory
-13.2MiB live, 224.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036293
060282
1313279
03043276
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
21 → 439
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
(fma.f64 b b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64))) #s(literal -1 binary64)))))
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(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) (fma.f64 #s(literal -4 binary64) (*.f64 b b) #s(literal 1 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))) #s(literal -1 binary64))
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))
(+.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)))
#s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a) a)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(*.f64 a (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 a a)) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a a)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 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 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #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))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 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(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 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 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))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal -1 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(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(/.f64 (*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 a a) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (*.f64 a a) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 (neg.f64 a) (fabs.f64 a)) (*.f64 (neg.f64 a) (fabs.f64 a)))
(*.f64 (*.f64 (fabs.f64 a) (neg.f64 a)) (*.f64 (fabs.f64 a) (neg.f64 a)))
(*.f64 (*.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a))
(*.f64 (*.f64 a (fabs.f64 a)) (*.f64 a (fabs.f64 a)))
(*.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a))
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 a a)))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (*.f64 a a)))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 4 binary64))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)) a)
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) a) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (*.f64 (*.f64 a a) a))
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 a (*.f64 a a)))
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (*.f64 (*.f64 a a) a))
(+.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 a (*.f64 a a)))
(+.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 #s(literal 4 binary64) b) b)
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 4 binary64)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b (*.f64 #s(literal 4 binary64) b))

eval98.0ms (1.4%)

Memory
38.9MiB live, 182.6MiB allocated; 12ms collecting garbage
Compiler

Compiled 21 419 to 2 051 computations (90.4% saved)

prune31.0ms (0.4%)

Memory
0.8MiB live, 47.1MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New6426648
Fresh112
Picked325
Done000
Total6469655
Accuracy
100.0%
Counts
655 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶79.3%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
70.3%
(-.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))
✓69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
▶69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
▶69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
▶70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
▶51.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
69.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64)))
Compiler

Compiled 456 to 283 computations (37.9% saved)

simplify326.0ms (4.6%)

Memory
-20.1MiB live, 313.3MiB allocated; 34ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
cost-diff2
(*.f64 (*.f64 a a) a)
cost-diff2
(*.f64 (*.f64 (*.f64 a a) a) a)
cost-diff0
(*.f64 a a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff4
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #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) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a)))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 b b (*.f64 a a))
cost-diff0
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039328
063322
1121308
2348296
31334294
45824294
08060290
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 b a)
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(*.f64 a a)
a
#s(literal 1 binary64)
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
b
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))
(/.f64 (/.f64 b a) a)
(/.f64 b a)
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #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) (fma.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(*.f64 b b)
b
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (*.f64 a a) (*.f64 a a))
(pow.f64 a #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 a a) a) a)
(pow.f64 a #s(literal 4 binary64))
(*.f64 (*.f64 a a) a)
(pow.f64 a #s(literal 3 binary64))
(*.f64 a a)
a
#s(literal 1 binary64)

localize152.0ms (2.1%)

Memory
9.5MiB live, 219.2MiB allocated; 48ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
accuracy0.07421875
(*.f64 (*.f64 (*.f64 a a) a) a)
accuracy0.1015625
(*.f64 (*.f64 a a) a)
accuracy25.89149018733918
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a))
accuracy0.0
(*.f64 a a)
accuracy0.00390625
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy0.07421875
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy25.89149018733918
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0.0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.03125
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy0.046875
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy19.00052475395724
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy0.0
(*.f64 b b)
accuracy0.046875
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy19.00052475395724
#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)))
accuracy31.411847926418716
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy0.05078125
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
accuracy0.140625
(/.f64 (/.f64 b a) a)
accuracy1.9513347270175365
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))
accuracy14.370547214650605
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))
Samples
74.0ms256×0valid
Compiler

Compiled 262 to 32 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 37.0ms (69.4% of total)
ival-add: 9.0ms (16.9% of total)
ival-div: 3.0ms (5.6% of total)
ival-pow2: 2.0ms (3.8% of total)
ival-sub: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-15.7MiB live, 30.7MiB allocated; 3ms collecting garbage
Counts
22 → 43
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(*.f64 (*.f64 a a) (*.f64 a a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))
(/.f64 (/.f64 b a) a)
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 2)
(+ (pow a 2) (pow b 2))
(pow a 2)
(pow a 4)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow a 3)
(/ (pow b 2) (pow a 2))
(/ (+ (pow a 2) (pow b 2)) (pow a 2))
(/ b (pow a 2))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 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
(+ 1 (/ (pow b 2) (pow a 2)))
(- (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
(+ 4 (pow b 2))
(* 4 b)
(* b (+ 4 (pow b 2)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(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))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
Calls

6 calls:

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

simplify292.0ms (4.1%)

Memory
31.1MiB live, 299.1MiB allocated; 94ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088523
1271473
2992471
35838471
08082422
Stop Event
1×iter limit
1×node limit
Counts
43 → 43
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 2)
(+ (pow a 2) (pow b 2))
(pow a 2)
(pow a 4)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow a 3)
(/ (pow b 2) (pow a 2))
(/ (+ (pow a 2) (pow b 2)) (pow a 2))
(/ b (pow a 2))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 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
(+ 1 (/ (pow b 2) (pow a 2)))
(- (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
(+ 4 (pow b 2))
(* 4 b)
(* b (+ 4 (pow b 2)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(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))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(pow a 2)
(*.f64 a a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 (/.f64 b a) a) b)
(/ (+ (pow a 2) (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b a) a) a)
(/ b (pow a 2))
(/.f64 (/.f64 b a) a)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 b a) a) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 a a (*.f64 b b))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 b a) a) a)) (pow.f64 a #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (pow b 2) (pow a 2)))
(/.f64 (fma.f64 b (/.f64 b a) a) a)
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) 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 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(pow b 4)
(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 (/.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 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 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))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 a a (*.f64 b b))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 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 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 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))) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
(/.f64 (fma.f64 b (/.f64 b a) a) a)

rewrite90.0ms (1.3%)

Memory
3.8MiB live, 135.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039295
063275
1266261
02264257
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 331
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(*.f64 (*.f64 a a) (*.f64 a a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 (*.f64 a a) a) a)
(*.f64 (*.f64 a a) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))
(/.f64 (/.f64 b a) a)
Outputs
(/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (neg.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) (fma.f64 a a (*.f64 b b))))
(+.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)))) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))
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(/.f64 (fma.f64 (*.f64 (/.f64 b a) b) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 b a) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b)))
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) a) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 b (*.f64 (/.f64 (/.f64 b a) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (/.f64 (/.f64 b a) a) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (/.f64 b a) a)) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (/.f64 (/.f64 b a) a)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b))))
(+.f64 (*.f64 (/.f64 (/.f64 b a) a) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b a) a) b))
(/.f64 (/.f64 b (fabs.f64 a)) (fabs.f64 a))
(/.f64 (/.f64 (neg.f64 b) a) (neg.f64 a))
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 (/.f64 b a) (neg.f64 (neg.f64 a)))
(/.f64 (/.f64 b a) a)
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (/.f64 (neg.f64 b) a) a))
(neg.f64 (/.f64 (/.f64 b a) (neg.f64 a)))

eval285.0ms (4%)

Memory
55.4MiB live, 201.8MiB allocated; 111ms collecting garbage
Compiler

Compiled 15 149 to 1 406 computations (90.7% saved)

prune937.0ms (13.1%)

Memory
-161.5MiB live, 80.8MiB allocated; 1.3s collecting garbage
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New4073410
Fresh202
Picked145
Done022
Total4109419
Accuracy
100.0%
Counts
419 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.3%
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
✓69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
✓69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
✓69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
✓51.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
▶24.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
▶46.4%
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
Compiler

Compiled 246 to 151 computations (38.6% saved)

simplify148.0ms (2.1%)

Memory
11.8MiB live, 247.1MiB allocated; 20ms collecting garbage
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033173
046167
1110167
2439166
32268164
08489162
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
b
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
(/.f64 b (*.f64 a a))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
Outputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 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)
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(fma.f64 a a (*.f64 b b))
b
(*.f64 a a)
a
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a)))
#s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
(/.f64 b (*.f64 a a))
#s(literal 1 binary64)
(fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)

localize61.0ms (0.9%)

Memory
17.7MiB live, 162.2MiB allocated; 15ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
accuracy1.9513347270175365
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
accuracy8.33039451065238
(/.f64 b (*.f64 a a))
accuracy14.370547214650605
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
accuracy19.00052475395724
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy32.579114875997526
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy0.00390625
(pow.f64 b #s(literal 4 binary64))
accuracy34.33086285163536
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
Samples
48.0ms256×0valid
Compiler

Compiled 141 to 26 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-add: 10.0ms (34.7% of total)
ival-mult: 10.0ms (34.7% of total)
ival-pow: 3.0ms (10.4% of total)
ival-div: 2.0ms (6.9% of total)
ival-pow2: 2.0ms (6.9% of total)
ival-sub: 1.0ms (3.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-21.6MiB live, 24.1MiB allocated; 5ms collecting garbage
Counts
11 → 28
Calls
Call 1
Inputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 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))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(/.f64 b (*.f64 a a))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 2)
(+ (pow a 2) (pow b 2))
(pow a 2)
(/ b (pow a 2))
(/ (pow b 2) (pow a 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (/ (pow b 2) (pow a 2)))
(- (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)
(pow b 4)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (* (+ (* (/ b (* a a)) b) 1) (* a a)) (/ b (* a a)) (+ (* (/ b (* a a)) b) 1))
2.0ms
b
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (* (+ (* (/ b (* a a)) b) 1) (* a a)) (/ b (* a a)) (+ (* (/ b (* a a)) b) 1))
1.0ms
b
@0
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (* (+ (* (/ b (* a a)) b) 1) (* a a)) (/ b (* a a)) (+ (* (/ b (* a a)) b) 1))
1.0ms
a
@inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (* (+ (* (/ b (* a a)) b) 1) (* a a)) (/ b (* a a)) (+ (* (/ b (* a a)) b) 1))
1.0ms
a
@-inf
((+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow b 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (+ (* b b) (* a a)) (* a a) (+ (* b b) (* a a)) (* (+ (* (/ b (* a a)) b) 1) (* a a)) (/ b (* a a)) (+ (* (/ b (* a a)) b) 1))

simplify400.0ms (5.6%)

Memory
5.5MiB live, 378.7MiB allocated; 123ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079340
1232310
2849306
36453306
08150276
Stop Event
1×iter limit
1×node limit
Counts
28 → 28
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 2)
(+ (pow a 2) (pow b 2))
(pow a 2)
(/ b (pow a 2))
(/ (pow b 2) (pow a 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))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
1
(+ 1 (/ (pow b 2) (pow a 2)))
(- (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)
(pow b 4)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ (/ 1 (pow a 2)) (/ 1 (pow b 2))))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 a a (*.f64 b b))
(pow a 2)
(*.f64 a a)
(/ b (pow a 2))
(/.f64 (/.f64 b a) a)
(/ (pow b 2) (pow a 2))
(*.f64 (/.f64 (/.f64 b a) a) b)
(/ (+ (pow a 2) (pow b 2)) (pow a 2))
(/.f64 (fma.f64 b (/.f64 b a) a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (-.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (/.f64 b (pow.f64 a #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) (/.f64 b a) a) a)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 a a (*.f64 b b))
1
#s(literal 1 binary64)
(+ 1 (/ (pow b 2) (pow a 2)))
(/.f64 (fma.f64 b (/.f64 b a) a) a)
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.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 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (-.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 4 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))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (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 (pow a 2)) (/ 1 (pow b 2))))
(/.f64 (fma.f64 b (/.f64 b a) a) a)

rewrite95.0ms (1.3%)

Memory
32.8MiB live, 131.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033156
046150
1241147
02337145
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
11 → 182
Calls
Call 1
Inputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 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))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 b b (*.f64 a a))
(*.f64 a a)
#s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(/.f64 b (*.f64 a a))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
Outputs
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 b b) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 (*.f64 b b) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 (*.f64 b b) b) b)
(*.f64 (*.f64 (neg.f64 b) (fabs.f64 b)) (*.f64 (neg.f64 b) (fabs.f64 b)))
(*.f64 (*.f64 (fabs.f64 b) (neg.f64 b)) (*.f64 (fabs.f64 b) (neg.f64 b)))
(*.f64 (*.f64 (fabs.f64 b) b) (*.f64 (fabs.f64 b) b))
(*.f64 (*.f64 b (fabs.f64 b)) (*.f64 b (fabs.f64 b)))
(*.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b))
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (*.f64 b b)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (*.f64 b b)))
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b (*.f64 b (*.f64 b b)))
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 4 binary64))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 b #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 4 binary64))))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 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))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))) (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))) (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 b)) (neg.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 b)) (fabs.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 4 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 (fma.f64 a a (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (neg.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a))) (fma.f64 a a (*.f64 b b))))
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a))))
(+.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))) (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))) (pow.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal -1 binary64))
(+.f64 (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(+.f64 (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (+.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)) (fma.f64 a a (*.f64 b b)))))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 b) b) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (neg.f64 b) b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 a) a) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 (neg.f64 a) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (neg.f64 (fma.f64 b b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 b b (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 a a))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 b b))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (*.f64 b b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) a (*.f64 b b))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 b b))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 a a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 b b))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 a a))
(fma.f64 a a (*.f64 (neg.f64 (neg.f64 b)) b))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 (neg.f64 (neg.f64 a)) a))
(fma.f64 b b (*.f64 a a))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 b b (*.f64 (neg.f64 a) a))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (+.f64 a b) (-.f64 a b))))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 (fabs.f64 b)) (fabs.f64 b)))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 b) b))
(-.f64 (*.f64 b b) (*.f64 (neg.f64 a) a))
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 a b) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 a b) #s(literal 2 binary64)))))
(+.f64 (*.f64 a a) (*.f64 (neg.f64 (neg.f64 b)) b))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) a))
(+.f64 (*.f64 b b) (*.f64 a a))
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)))
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)))
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (pow.f64 a #s(literal 1 binary64)) a)
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 a) a))
(fabs.f64 (*.f64 a a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
#s(approx (+ (* b b) (* a a)) (*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (neg.f64 a)) (neg.f64 a))
(*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a) a)
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))))
(*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)))
(*.f64 a (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) a))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 a a)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 a a)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (*.f64 a a) (*.f64 #s(literal 1 binary64) (*.f64 a a)))
(fma.f64 (*.f64 a a) (*.f64 (/.f64 b (*.f64 a a)) b) (*.f64 (*.f64 a a) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 (*.f64 a a) (*.f64 (/.f64 b (*.f64 a a)) b)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (*.f64 a a)) (*.f64 #s(literal 1 binary64) (*.f64 a a)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (*.f64 (/.f64 b (*.f64 a a)) b)) (*.f64 (*.f64 a a) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 a a) #s(literal 1 binary64)) (*.f64 (*.f64 a a) (*.f64 (/.f64 b (*.f64 a a)) b)))
(/.f64 (/.f64 b (neg.f64 a)) (neg.f64 a))
(/.f64 (/.f64 b (fabs.f64 a)) (fabs.f64 a))
(/.f64 (neg.f64 (/.f64 b a)) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 b)) (*.f64 a a))
(/.f64 (/.f64 b a) a)
(/.f64 (neg.f64 b) (*.f64 (neg.f64 a) a))
(/.f64 b (*.f64 a a))
(neg.f64 (/.f64 (neg.f64 b) (*.f64 a a)))
(neg.f64 (/.f64 b (*.f64 (neg.f64 a) a)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (/.f64 b (*.f64 a a)) b))))
(/.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))
(fma.f64 (*.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) (fabs.f64 a)) (/.f64 (neg.f64 b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (neg.f64 a)) (/.f64 (fabs.f64 b) (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) (fabs.f64 a)) (/.f64 (fabs.f64 b) (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fabs.f64 b) a) (/.f64 (fabs.f64 b) a) #s(literal 1 binary64))
(fma.f64 (/.f64 b (neg.f64 a)) (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (fabs.f64 a)) (/.f64 b (fabs.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64))
(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 b) (/.f64 (fabs.f64 b) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) (*.f64 b #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 1 binary64))
(fma.f64 b (*.f64 (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 b (/.f64 b (*.f64 a a)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 b (*.f64 a a))) b))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 b) (/.f64 b (*.f64 a a))))
(+.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b)) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))))
(+.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (*.f64 a a)) b))

eval29.0ms (0.4%)

Memory
11.0MiB live, 55.9MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 429 to 858 computations (90.9% saved)

prune13.0ms (0.2%)

Memory
-17.4MiB live, 27.5MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New2304234
Fresh000
Picked123
Done246
Total23310243
Accuracy
100.0%
Counts
243 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
✓69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
✓69.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
✓70.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
✓51.7%
#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)))
✓24.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
✓46.4%
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
46.4%
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 a #s(literal 4 binary64)))
46.3%
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))
46.3%
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
Compiler

Compiled 899 to 269 computations (70.1% saved)

regimes41.0ms (0.6%)

Memory
-20.7MiB live, 77.1MiB allocated; 16ms collecting garbage
Counts
21 → 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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) 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) (fma.f64 (*.f64 (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 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* b b) (* a a)) (*.f64 b b)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 b (*.f64 a a)) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (*.f64 a a)) #s(approx (+ (* b b) (* a a)) (*.f64 (fma.f64 (/.f64 (/.f64 b a) a) b #s(literal 1 binary64)) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b #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 (+.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 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
Calls

6 calls:

10.0ms
(*.f64 b b)
8.0ms
a
6.0ms
b
5.0ms
(*.f64 a a)
5.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
99.9%1(*.f64 b b)
99.9%1(*.f64 a a)
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
99.9%1a
99.9%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes18.0ms (0.2%)

Memory
40.8MiB live, 40.8MiB allocated; 0ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) 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) (fma.f64 (*.f64 (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 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
Calls

6 calls:

3.0ms
a
3.0ms
b
3.0ms
(*.f64 a a)
3.0ms
(*.f64 b b)
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
97.9%2(*.f64 b b)
94.8%2(*.f64 a a)
87.7%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
87.7%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
94.8%2a
97.9%2b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes8.0ms (0.1%)

Memory
-31.7MiB live, 14.4MiB allocated; 4ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) 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) (fma.f64 (*.f64 (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 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.9%2(*.f64 b b)
94.9%2b
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes5.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) 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) (fma.f64 (*.f64 (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 a a) (*.f64 a a))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
94.9%2(*.f64 b b)
94.9%2b
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes16.0ms (0.2%)

Memory
-10.0MiB live, 35.8MiB allocated; 4ms collecting garbage
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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) 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) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

6 calls:

4.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
2.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
70.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
70.3%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))
70.3%1(*.f64 a a)
70.3%1a
70.3%1(*.f64 b b)
70.3%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes13.0ms (0.2%)

Memory
-8.8MiB live, 37.7MiB allocated; 2ms collecting garbage
Counts
5 → 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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) b) b))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

6 calls:

3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
b
2.0ms
a
2.0ms
(*.f64 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
70.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
70.3%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))
70.3%1(*.f64 a a)
70.3%1a
70.3%1(*.f64 b b)
70.3%1b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes11.0ms (0.2%)

Memory
41.8MiB live, 41.8MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) 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 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) 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 a a)
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
70.1%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
70.1%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))
57.9%2(*.f64 a a)
57.9%2a
69.8%2(*.f64 b b)
69.8%2b
Compiler

Compiled 40 to 32 computations (20% saved)

regimes5.0ms (0.1%)

Memory
-39.8MiB live, 11.0MiB allocated; 5ms collecting garbage
Counts
3 → 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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b)))
Calls

2 calls:

3.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Results
AccuracySegmentsBranch
70.0%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
70.0%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))
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes8.0ms (0.1%)

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

6 calls:

1.0ms
a
1.0ms
b
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
1.0ms
(*.f64 b b)
1.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
51.7%1(*.f64 a a)
51.7%1a
51.7%1b
51.7%1(*.f64 b b)
51.7%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
51.7%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))
Compiler

Compiled 40 to 32 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-26.6MiB live, 20.0MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

2.0ms
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 b b)
Results
AccuracySegmentsBranch
24.6%1(*.f64 a a)
24.6%1a
24.6%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
24.6%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
24.6%1(*.f64 b b)
24.6%1b
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch12.0ms (0.2%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
0.0006253829688313954
0.0028913458023407264
Samples
6.0ms96×0valid
Compiler

Compiled 362 to 250 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (46.5% of total)
ival-add: 1.0ms (23.3% of total)
ival-pow2: 1.0ms (23.3% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Memory
-21.4MiB live, 24.8MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
0.0006253829688313954
0.0028913458023407264
Samples
27.0ms80×0valid
Compiler

Compiled 332 to 232 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (52.5% of total)
ival-add: 1.0ms (26.3% of total)
ival-pow2: 1.0ms (26.3% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.0006253829688313954
0.0028913458023407264
Compiler

Compiled 332 to 226 computations (31.9% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999665604079175
89338756.8313102
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999665604079175
89338756.8313102
Compiler

Compiled 20 to 17 computations (15% saved)

simplify58.0ms (0.8%)

Memory
16.4MiB live, 62.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069457
1124457
2382457
31581457
44804457
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 8669969714643489/9223372036854775808 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 1642913144064757/576460752303423488 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 1642913144064757/576460752303423488 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (+.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)) #s(literal -1/2 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 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (-.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)) #s(literal -1/2 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 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 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) #s(literal -1 binary64)))
Outputs
(fma.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)) (fma.f64 #s(literal 4 binary64) (*.f64 b b) #s(literal -1 binary64)))
(if (<=.f64 b #s(literal 8669969714643489/9223372036854775808 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 1642913144064757/576460752303423488 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (*.f64 a a) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 b #s(literal 1642913144064757/576460752303423488 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (+.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)) #s(literal -1/2 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 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 (*.f64 b b) b) b)))
(if (<=.f64 (-.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)) #s(literal -1/2 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 (+ (* (+ (* b b) (* a a)) (+ (* b b) (* a a))) (+ (* 4 (* b b)) -1)) (*.f64 (*.f64 b b) (*.f64 b b))))
(if (<=.f64 (-.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)) #s(literal -1/2 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 4) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 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) #s(literal -1 binary64)))

derivations507.0ms (7.1%)

Memory
6.2MiB live, 371.1MiB allocated; 66ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 457 to 69 computations (84.9% saved)

preprocess69.0ms (1%)

Memory
22.3MiB live, 117.4MiB allocated; 56ms collecting garbage
Remove

(abs a)

(abs b)

Compiler

Compiled 1 024 to 198 computations (80.7% saved)

end0.0ms (0%)

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

Profiling

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