Bouland and Aaronson, Equation (26)

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.2s (14.3%)

Memory
39.5MiB live, 1 450.2MiB allocated
Samples
815.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 599.0ms
ival-mult: 203.0ms (33.9% of total)
ival-pow2: 196.0ms (32.7% of total)
ival-add: 105.0ms (17.5% of total)
ival-sub: 77.0ms (12.9% of total)
exact: 8.0ms (1.3% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain180.0ms (2.1%)

Memory
-8.1MiB live, 226.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 1 binary64)
00-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
00-0-#s(literal 4 binary64)
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
00-0-(*.f64 b b)
01(-2.7358193435688836e+211 -9.330425318094002e-163)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
43.0ms512×0valid
Compiler

Compiled 213 to 52 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (43.4% of total)
ival-pow2: 5.0ms (21.7% of total)
ival-add: 4.0ms (17.4% of total)
ival-sub: 2.0ms (8.7% of total)
exact: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess241.0ms (2.8%)

Memory
-18.0MiB live, 212.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs b)

(abs a)

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify210.0ms (2.4%)

Memory
12.4MiB live, 219.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize64.0ms (0.7%)

Memory
1.3MiB live, 39.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 a a)
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))
accuracy0.015625
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.12109375
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Samples
56.0ms256×0valid
Compiler

Compiled 130 to 26 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-sub: 37.0ms (77.7% of total)
ival-mult: 5.0ms (10.5% of total)
ival-pow2: 3.0ms (6.3% of total)
ival-add: 2.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-22.9MiB live, 12.4MiB allocated
Counts
6 → 32
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 a a)
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* 4 (pow b 2))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
a
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
2.0ms
b
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms
a
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))
1.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* a a) (* b b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)) (* a a))

simplify203.0ms (2.4%)

Memory
7.9MiB live, 199.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite224.0ms (2.6%)

Memory
25.2MiB live, 347.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval67.0ms (0.8%)

Memory
-29.1MiB live, 126.5MiB allocated
Compiler

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

prune19.0ms (0.2%)

Memory
-3.0MiB live, 41.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5447551
Fresh000
Picked101
Done000
Total5457552
Accuracy
100.0%
Counts
552 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
73.6%
(-.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))
68.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
84.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
87.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
82.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
73.5%
#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 370 to 246 computations (33.5% saved)

simplify278.0ms (3.2%)

Memory
38.7MiB live, 315.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
cost-diff0
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
cost-diff0
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
cost-diff0
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
cost-diff6464
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039406
067402
1118362
2224362
3523362
41136362
52920362
64607362
08147362
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) b)
#s(literal 4 binary64)
b
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64))
(hypot.f64 b a)
a
#s(literal 2 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
b
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
b
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 (fma.f64 (*.f64 b #s(literal 4 binary64)) b (pow.f64 (hypot.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b #s(literal 4 binary64)) b (pow.f64 (hypot.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (fma.f64 (*.f64 b #s(literal 4 binary64)) b (pow.f64 (hypot.f64 a b) #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (*.f64 b #s(literal 4 binary64)) b (pow.f64 (hypot.f64 a b) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) b)
(*.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
b
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a b) #s(literal 4 binary64))
(pow.f64 (hypot.f64 b a) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a b) #s(literal 2 binary64))
(hypot.f64 b a)
(hypot.f64 a b)
a
#s(literal 2 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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))
b
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 2 binary64)
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (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 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #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)

localize145.0ms (1.7%)

Memory
-9.0MiB live, 148.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
accuracy1.6790053901411786
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
accuracy3.0910985338052646
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
accuracy15.68748796328633
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
accuracy0.00390625
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
accuracy1.6811652075034362
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
accuracy4.307259652661406
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy21.947239362027375
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
accuracy0.0
(*.f64 b b)
accuracy0.0
(*.f64 a a)
accuracy4.829546838423358
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
accuracy13.008279138753755
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
accuracy0.0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.0
(*.f64 b b)
accuracy0.0546875
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy16.91532613079099
#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)))
accuracy0.00390625
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy0.03515625
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
accuracy0.05078125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
accuracy0.12109375
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))
Samples
120.0ms256×0valid
Compiler

Compiled 793 to 80 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow2: 38.0ms (47.4% of total)
ival-mult: 22.0ms (27.4% of total)
ival-add: 10.0ms (12.5% of total)
ival-hypot: 4.0ms (5% of total)
ival-div: 3.0ms (3.7% of total)
ival-sub: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-13.5MiB live, 32.0MiB allocated
Counts
21 → 87
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(*.f64 a a)
Outputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(- (+ (* 4 (pow b 2)) (pow b 4)) 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)
(/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1))
(+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2)))) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* -2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3)))))) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
4
(+ 4 (* 2 (pow a 2)))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1 (pow a 4))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (pow b 2) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* 2 (* (pow b 2) (- 1 (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))))) (pow a 6))) (/ 1 (pow a 4)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(/ 1 (- (pow a 4) 1))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
-1
(- (* 4 (pow b 2)) 1)
(pow b 2)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (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 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))))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (- (pow a 4) 1))) (* (+ 4 (* 2 (pow a 2))) (- 1 (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
a
@-inf
((pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1)) (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* a a))
3.0ms
b
@inf
((pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1)) (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* a a))
3.0ms
a
@0
((pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1)) (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* a a))
3.0ms
b
@0
((pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1)) (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* a a))
3.0ms
a
@inf
((pow (pow (sqrt (+ (* b b) (* a a))) 2) 2) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1)) (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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)) (+ (* (* a a) 2) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* b b) (+ (* (* a a) 2) 4)) b) b) (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (* a a))

simplify195.0ms (2.3%)

Memory
4.5MiB live, 231.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02481985
17961919
228621849
084281688
Stop Event
iter limit
node limit
Counts
87 → 87
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(- (+ (* 4 (pow b 2)) (pow b 4)) 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)
(/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1))
(+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2)))) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* -2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3)))))) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(+ 4 (pow b 2))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
4
(+ 4 (* 2 (pow a 2)))
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(* b (+ 4 (pow b 2)))
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(pow a 2)
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(/ 1 (pow a 4))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/ (- (+ 1 (/ 1 (pow a 4))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (pow b 2) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* 2 (* (pow b 2) (- 1 (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))))) (pow a 6))) (/ 1 (pow a 4)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (/ (* b (+ 4 (pow b 2))) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(- (pow a 4) 1)
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(/ 1 (- (pow a 4) 1))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
-1
(- (* 4 (pow b 2)) 1)
(pow b 2)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (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 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))))
(/ 1 (pow b 4))
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (- (pow a 4) 1))) (* (+ 4 (* 2 (pow a 2))) (- 1 (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
Outputs
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) b (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(+ (* -2 (/ (* (pow a 2) (pow b 2)) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(fma.f64 (/.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(+ (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 a a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 a a) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(+ (* (pow a 2) (- (* (pow a 2) (- (* -1 (* (pow a 2) (+ (* -2 (/ (* (pow b 2) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2)))) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* -2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3)))))) (+ (* -4 (/ (pow b 4) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 3))) (/ 1 (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (* 2 (/ (pow b 2) (pow (- (+ (* 4 (pow b 2)) (pow b 4)) 1) 2))))) (/ 1 (- (+ (* 4 (pow b 2)) (pow b 4)) 1)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 b (fma.f64 b (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))) (/.f64 b (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64))))) #s(literal 2 binary64)) (*.f64 a a) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 a a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 b b)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 a a) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* 2 (pow a 2)) (pow b 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 2 (pow a 2)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) #s(literal 2 binary64)) 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)
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+ (* 2 (* (pow a 2) b)) (* b (+ 4 (pow b 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(pow a 2)
(*.f64 a a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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 a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(*.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 4 binary64)))
(/ 1 (pow a 4))
(/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))
(/ (+ 1 (* -2 (/ (pow b 2) (pow a 2)))) (pow a 4))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(/ (- (+ 1 (/ 1 (pow a 4))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 4 binary64)))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -2 (* (pow b 2) (- (+ (* 4 (pow b 2)) (pow b 4)) 1))) (* 2 (* (pow b 2) (- 1 (+ (* -4 (pow b 4)) (+ (* 4 (pow b 2)) (pow b 4))))))) (pow a 6))) (/ 1 (pow a 4)))) (+ (* -4 (/ (pow b 4) (pow a 4))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4)))))) (pow a 4))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)))) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (- (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (*.f64 a a) #s(literal -1 binary64))
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 (pow a 2))) (/ (pow b 2) (pow a 2)))))
(+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(* (pow a 2) (+ 2 (* 4 (/ 1 (pow a 2)))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #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 b b) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 a 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 a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) (pow a 2))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (*.f64 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)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) b) a) (/.f64 b a) #s(literal -1 binary64)))
(+ (* 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)))
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(/ 1 (- (pow a 4) 1))
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* -1 (* (pow b 2) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(fma.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(+ (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 b b) (fma.f64 (*.f64 a (/.f64 a (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(+ (* (pow b 2) (- (* (pow b 2) (- (* -1 (* (pow b 2) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))) (- (pow a 4) 1)))))) (+ (* -1 (/ (* (+ 4 (* 2 (pow a 2))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2))))) (- (pow a 4) 1))) (/ 1 (pow (- (pow a 4) 1) 2))))) (+ (* 2 (/ (pow a 2) (pow (- (pow a 4) 1) 2))) (* 4 (/ 1 (pow (- (pow a 4) 1) 2)))))) (/ 1 (- (pow a 4) 1)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 b b) (fma.f64 (/.f64 (fma.f64 (*.f64 a (/.f64 a (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 b b) (fma.f64 (*.f64 a (/.f64 a (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 b b) (/.f64 #s(literal 1 binary64) (-.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)
(*.f64 b b)
(- (* (pow b 2) (+ 4 (* 2 (pow a 2)))) 1)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
(* b (+ 4 (* 2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b)
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) 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)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.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))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(/ 1 (pow b 4))
(/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64)))
(/ (+ 1 (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2)))) (pow b 4))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(/ (- (+ 1 (/ 1 (pow b 4))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 (pow a 2))) (- (pow a 4) 1))) (* (+ 4 (* 2 (pow a 2))) (- 1 (+ (* -1 (pow (+ 4 (* 2 (pow a 2))) 2)) (pow a 4))))) (pow b 6))) (/ 1 (pow b 4)))) (+ (* -1 (/ (pow (+ 4 (* 2 (pow a 2))) 2) (pow b 4))) (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4)))))) (pow b 4))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (-.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 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (*.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 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) b) b)) (*.f64 b b))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
(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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* 2 (pow a 2))) (pow b 2))) 1)))
(*.f64 (neg.f64 (pow.f64 b #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) b)))

rewrite275.0ms (3.2%)

Memory
25.6MiB live, 230.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039326
067284
1321284
22339284
08128284
Stop Event
iter limit
node limit
iter limit
Counts
21 → 669
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(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 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b)
(*.f64 a a)
Outputs
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 a b)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 a b)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (hypot.f64 a b) #s(literal 3 binary64)) (hypot.f64 a b))
(*.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)))
(*.f64 (hypot.f64 a b) (pow.f64 (hypot.f64 a b) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a b) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) (*.f64 (+.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 a b) #s(literal 2 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))) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 a b) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (+.f64 b a) (-.f64 b a)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (-.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 (hypot.f64 a b) #s(literal 2 binary64)) (+.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 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a b) #s(literal 2 binary64)) (+.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 b a) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 2 binary64)))
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#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b) b)
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(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 b b)) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
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(/.f64 (*.f64 (*.f64 b b) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 b b #s(literal -4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
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(fma.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) (*.f64 #s(literal 4 binary64) b))
(fma.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64)))
(fma.f64 b (*.f64 b b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b))
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(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b) (pow.f64 b #s(literal 3 binary64)))
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(+.f64 (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (pow.f64 b #s(literal 3 binary64)))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64)) b))
(+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval150.0ms (1.7%)

Memory
-6.5MiB live, 116.2MiB allocated
Compiler

Compiled 30 286 to 2 539 computations (91.6% saved)

prune47.0ms (0.5%)

Memory
8.5MiB live, 45.6MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New64710657
Fresh022
Picked325
Done000
Total65014664
Accuracy
100.0%
Counts
664 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.6%
(-.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))
68.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
77.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
87.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
84.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
61.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
63.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
70.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
73.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
73.5%
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
73.5%
#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)))
59.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
52.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
24.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 883 to 533 computations (39.6% saved)

simplify244.0ms (2.8%)

Memory
-8.7MiB live, 146.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
cost-diff0
(fma.f64 b b #s(literal 4 binary64))
cost-diff0
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
cost-diff0
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
cost-diff448
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054446
078432
1138429
2255429
3529429
4976429
52705429
64305429
08172385
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b))
(*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 4 binary64) b)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
b
#s(literal 2 binary64)
(*.f64 a a)
a
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64))))
(*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b #s(literal 4 binary64))) b)
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b))
(*.f64 a a)
a
#s(literal 2 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 4 binary64) b)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(*.f64 (*.f64 b b) a)
(*.f64 b b)
b
a
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 a #s(literal 4 binary64)))
(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
#s(literal 1 binary64)

localize154.0ms (1.8%)

Memory
1.9MiB live, 125.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
accuracy0.00390625
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
accuracy7.774822354351068
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))
accuracy21.947239362027375
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a)))
accuracy1.6811652075034362
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
accuracy8.117095849005377
(*.f64 (*.f64 b b) a)
accuracy20.21516130992997
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
accuracy21.947239362027375
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
accuracy0.0
(fma.f64 b b #s(literal 4 binary64))
accuracy0.01953125
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy0.05859375
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
accuracy16.91532613079099
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy16.91532613079099
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
accuracy34.098753491672355
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
accuracy0.0078125
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
accuracy1.6790053901411786
(*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)
accuracy3.1028172838052646
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
accuracy15.68748796328633
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b))
Samples
113.0ms256×0valid
Compiler

Compiled 770 to 100 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-mult: 23.0ms (35% of total)
ival-add: 16.0ms (24.3% of total)
ival-pow2: 16.0ms (24.3% of total)
ival-hypot: 4.0ms (6.1% of total)
ival-div: 3.0ms (4.6% of total)
ival-sub: 2.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory
-11.2MiB live, 25.2MiB allocated
Counts
21 → 68
Calls
Call 1
Inputs
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
(*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)
(*.f64 (*.f64 b b) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))
Outputs
(+ (* 4 b) (pow b 3))
(+ (* 2 (* (pow a 2) b)) (+ (* 4 b) (pow b 3)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(* b (+ (* 4 b) (pow b 3)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* b (+ (* 4 b) (pow b 3))))
(* a (pow b 2))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b (pow a 2))) (/ (pow b 3) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 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 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 b)
(* b (+ 4 (pow b 2)))
4
(+ 4 (pow b 2))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(pow b 2)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 3) (+ 1 (* 2 (/ (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 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) (+ 1 (* 4 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(* (pow b 4) (+ 1 (* -1 (/ (- (* -2 (pow a 2)) 4) (pow b 2)))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
a
@-inf
((+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 2) (* a a)) (* b b) (* (+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) b) (* (* b b) a) (* (+ (* (* b b) 2) (* a a)) (* a a)))
5.0ms
b
@inf
((+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 2) (* a a)) (* b b) (* (+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) b) (* (* b b) a) (* (+ (* (* b b) 2) (* a a)) (* a a)))
3.0ms
b
@-inf
((+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 2) (* a a)) (* b b) (* (+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) b) (* (* b b) a) (* (+ (* (* b b) 2) (* a a)) (* a a)))
2.0ms
b
@0
((+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 2) (* a a)) (* b b) (* (+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) b) (* (* b b) a) (* (+ (* (* b b) 2) (* a a)) (* a a)))
2.0ms
a
@inf
((+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (+ (* (* a a) 2) (* b b)) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (* (* b b) (+ (* b b) 4)) -1) (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (+ (* (* (+ (* b b) 4) b) b) -1) (* (+ (* b b) 4) b) (+ (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (* (* (+ (* (* b b) 2) (* a a)) a) a) (* (+ (* (* b b) 2) (* a a)) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (+ (* (* b b) 2) (* a a)) (* b b) (* (+ (* (+ (* (* a a) 2) (* b b)) b) (* 4 b)) b) (* (* b b) a) (* (+ (* (* b b) 2) (* a a)) (* a a)))

simplify313.0ms (3.6%)

Memory
8.3MiB live, 253.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137888
1445852
21306834
34045782
47841782
08019707
Stop Event
iter limit
node limit
Counts
68 → 68
Calls
Call 1
Inputs
(+ (* 4 b) (pow b 3))
(+ (* 2 (* (pow a 2) b)) (+ (* 4 b) (pow b 3)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(pow b 3)
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(* b (+ (* 4 b) (pow b 3)))
(+ (* 2 (* (pow a 2) (pow b 2))) (* b (+ (* 4 b) (pow b 3))))
(* a (pow b 2))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b (pow a 2))) (/ (pow b 3) (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* b (+ 4 (* 2 (pow a 2))))
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 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 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 b)
(* b (+ 4 (pow b 2)))
4
(+ 4 (pow b 2))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(pow b 2)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 3) (+ 1 (* 2 (/ (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 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) (+ 1 (* 4 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(* (pow b 4) (+ 1 (* -1 (/ (- (* -2 (pow a 2)) 4) (pow b 2)))))
Outputs
(+ (* 4 b) (pow b 3))
(fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64)))
(+ (* 2 (* (pow a 2) b)) (+ (* 4 b) (pow b 3)))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64))
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) 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 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(*.f64 (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (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 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (pow.f64 a #s(literal 4 binary64)))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(+ (* 2 (* (pow a 2) b)) (pow b 3))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 a a) b) b) #s(literal 2 binary64))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* 2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 2 binary64))
(+ (* 2 (pow b 2)) (pow a 2))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(* b (+ (* 4 b) (pow b 3)))
(*.f64 (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (* b (+ (* 4 b) (pow b 3))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) b)
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b (pow a 2))) (/ (pow b 3) (pow a 2)))))
(*.f64 (*.f64 b (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (*.f64 a a))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(fma.f64 (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 b (*.f64 a a)) b) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow a 2) (+ (* 2 b) (/ (pow b 3) (pow a 2))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(* (pow a 2) (+ (* 2 (pow b 2)) (/ (* b (+ (* 4 b) (pow b 3))) (pow a 2))))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) a) #s(literal 2 binary64))) (*.f64 a a))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* b (+ 4 (* 2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b)
(* b (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 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 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) (*.f64 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 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) (*.f64 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 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b (pow.f64 b #s(literal 3 binary64))) b (pow.f64 a #s(literal 4 binary64)))
(* b (+ (* 2 (pow a 2)) (pow b 2)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
-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 (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))) b #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64)))
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 4 (* 2 (pow a 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) (*.f64 b b))
(* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 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 #s(literal 2 binary64) a) a #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))))
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 3) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) (+ 1 (* 4 (/ 1 (pow b 2)))))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* -1 (* (pow b 3) (- (* -2 (/ (pow a 2) (pow b 2))) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 4) (+ 1 (* -1 (/ (- (* -2 (pow a 2)) 4) (pow b 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))

rewrite233.0ms (2.7%)

Memory
14.3MiB live, 199.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054399
078382
1352379
22357379
08742332
Stop Event
iter limit
node limit
iter limit
Counts
21 → 307
Calls
Call 1
Inputs
(+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(fma.f64 b b #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a)))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(*.f64 b b)
(*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)
(*.f64 (*.f64 b b) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))
Outputs
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b)
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b))) (pow.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))
(pow.f64 (/.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 b b)) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b))))) (neg.f64 (neg.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64)))) (*.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 b b)))) (*.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))) (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 b b)) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b)))) (neg.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b))) (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal 16 binary64) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64)))))
(fma.f64 #s(literal 4 binary64) b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) b (*.f64 #s(literal 4 binary64) b))
(fma.f64 b #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))))
(fma.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) (*.f64 #s(literal 4 binary64) b))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 b b)) (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64)))))
(+.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 4 binary64) b))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64)))))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64)))))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64)))))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
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(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 (*.f64 b b) #s(literal 2 binary64)))
(fma.f64 (*.f64 b #s(literal 2 binary64)) b (*.f64 a a))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) (*.f64 a a))
(fma.f64 a a (*.f64 (*.f64 b b) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 b #s(literal 2 binary64)) b (*.f64 (neg.f64 a) a))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (*.f64 b #s(literal 2 binary64)) b (*.f64 (neg.f64 a) a))))
(+.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b) b)
(*.f64 b (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b #s(literal 4 binary64))) b))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b))) b)) (neg.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))) b)) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 b (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b))))) (neg.f64 (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b))) b) (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64))) b) (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 b (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 b b)))) (*.f64 b (-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 b b)) #s(literal 4 binary64))))
(/.f64 (*.f64 b (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) b) (-.f64 (*.f64 #s(literal 4 binary64) b) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) b))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) b))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) b))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) b (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) b))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))))
(fma.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) b) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64))) b))
(+.f64 (*.f64 (*.f64 b b) #s(literal 4 binary64)) (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b (pow.f64 b #s(literal 3 binary64)))))
(*.f64 (*.f64 b a) b)
(*.f64 (*.f64 b b) a)
(*.f64 b (*.f64 b a))
(*.f64 a (*.f64 b b))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(*.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)))
(*.f64 a (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a))
(/.f64 (neg.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))) (neg.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.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))) (neg.f64 (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 (*.f64 a a) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) b (*.f64 (neg.f64 a) a))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (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 (-.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 b #s(literal 2 binary64)) 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 (*.f64 (*.f64 a a) (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (*.f64 b #s(literal 2 binary64)) b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 (*.f64 a 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 (*.f64 #s(literal 2 binary64) (*.f64 a a)) b) b (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) a (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (*.f64 b b) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 b (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 b b) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(fma.f64 a (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #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))))

eval131.0ms (1.5%)

Memory
-1.4MiB live, 123.6MiB allocated
Compiler

Compiled 19 430 to 1 459 computations (92.5% saved)

prune31.0ms (0.4%)

Memory
8.0MiB live, 44.5MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New3654369
Fresh617
Picked235
Done022
Total37310383
Accuracy
100.0%
Counts
383 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
84.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
68.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
70.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
73.5%
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
52.8%
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
73.5%
#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)))
50.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
24.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 476 to 293 computations (38.4% saved)

simplify227.0ms (2.6%)

Memory
-22.2MiB live, 263.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 b #s(literal 4 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
(pow.f64 a #s(literal 4 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
cost-diff0
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
cost-diff0
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
cost-diff1408
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049409
067405
1124402
2235402
3481402
41020402
53198387
65194387
08620335
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b)))
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
(*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64)))
a
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))
(/.f64 a b)
b
#s(literal 2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)))
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a)) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a)) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a)) a)
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b)))
#s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a))
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (*.f64 a a)) a)
(*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64)) a)
a
(fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))
(/.f64 a b)
b
#s(literal 2 binary64)
(*.f64 b b)
#s(literal 1 binary64)
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
#s(literal 4 binary64)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)))
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
b
#s(literal 4 binary64)

localize235.0ms (2.7%)

Memory
1.1MiB live, 201.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 b #s(literal 4 binary64))
accuracy31.968350844545547
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
accuracy0.0
(pow.f64 a #s(literal 4 binary64))
accuracy35.03031654542103
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
accuracy0.00390625
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
accuracy7.774822354351068
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))
accuracy21.947239362027375
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)))
accuracy27.147680447653453
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
accuracy0.01953125
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
accuracy0.05859375
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
accuracy16.91532613079099
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
accuracy32.874316134078825
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
accuracy0.7525454297612816
(*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64)))
accuracy1.6811652075034362
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)
accuracy13.068859199388022
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
accuracy21.947239362027375
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a))
Samples
172.0ms256×0valid
Compiler

Compiled 665 to 92 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 66.0ms (55.5% of total)
ival-pow: 27.0ms (22.7% of total)
ival-add: 7.0ms (5.9% of total)
ival-pow2: 7.0ms (5.9% of total)
ival-div: 5.0ms (4.2% of total)
ival-hypot: 4.0ms (3.4% of total)
ival-sub: 2.0ms (1.7% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory
-19.0MiB live, 19.9MiB allocated
Counts
17 → 54
Calls
Call 1
Inputs
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)))
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
(*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64)))
Outputs
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(pow a 4)
(* 2 a)
(* a (+ 2 (/ (pow a 2) (pow b 2))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(/ (pow a 3) (pow b 2))
(* (pow a 3) (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(- (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 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))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 b)
(* b (+ 4 (pow b 2)))
4
(+ 4 (pow b 2))
(pow b 4)
(/ (+ (* 2 (* a (pow b 2))) (pow a 3)) (pow b 2))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(+ (* 2 a) (/ (pow a 3) (pow b 2)))
Calls

6 calls:

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

simplify368.0ms (4.3%)

Memory
16.0MiB live, 258.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105648
1333624
2952616
34224600
08360535
Stop Event
iter limit
node limit
Counts
54 → 54
Calls
Call 1
Inputs
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* 2 (* (pow a 2) (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4)))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow b 2))
(+ (* 2 (pow b 2)) (pow a 2))
(pow a 4)
(* 2 a)
(* a (+ 2 (/ (pow a 2) (pow b 2))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))) (/ 1 (pow a 4))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(/ (pow a 3) (pow b 2))
(* (pow a 3) (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(- (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 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))
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(* 4 b)
(* b (+ 4 (pow b 2)))
4
(+ 4 (pow b 2))
(pow b 4)
(/ (+ (* 2 (* a (pow b 2))) (pow a 3)) (pow b 2))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(* (pow b 2) (+ (* 2 (pow a 2)) (/ (pow a 4) (pow b 2))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(+ (* 2 a) (/ (pow a 3) (pow b 2)))
Outputs
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a)
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(- (+ (* 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 #s(literal 2 binary64) a) a #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 #s(literal 2 binary64) a) a #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(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 #s(literal 2 binary64) a) a #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 #s(literal 2 binary64) a) a #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
(* 2 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 2 binary64))
(+ (* 2 (pow b 2)) (pow a 2))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (/ (pow a 2) (pow b 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) a)
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow a 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))))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 b a)) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 4))) (/ (pow b 4) (pow a 4))))))
(*.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 4 binary64))) (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) (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 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(/ (pow a 3) (pow b 2))
(/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) b) b)
(* (pow a 3) (+ (* 2 (/ 1 (pow a 2))) (/ 1 (pow b 2))))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) a)
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(+ (* 2 (* a (pow b 2))) (pow a 3))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(- (+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(+ (* (pow b 2) (+ 4 (* 2 (pow a 2)))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64)) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ 4 (+ (* 2 (pow a 2)) (pow b 2)))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal 2 binary64) a) a #s(literal 4 binary64))) b) b (pow.f64 a #s(literal 4 binary64)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(* 4 b)
(*.f64 #s(literal 4 binary64) b)
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
4
#s(literal 4 binary64)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(/ (+ (* 2 (* a (pow b 2))) (pow a 3)) (pow b 2))
(*.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) b) (/.f64 a b))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (*.f64 b b) (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b) #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))) (/ 1 (pow b 4))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ 1 (pow b 2))) (/ (pow a 4) (pow b 4))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 a #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 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (+ 2 (/ (pow a 2) (pow b 2))))
(fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a))
(+ (* 2 a) (/ (pow a 3) (pow b 2)))
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) a #s(literal 2 binary64)) a)

rewrite199.0ms (2.3%)

Memory
1.1MiB live, 196.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049353
066341
1323341
22179341
08800295
Stop Event
iter limit
node limit
iter limit
Counts
17 → 151
Calls
Call 1
Inputs
(*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a))
(*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b)
#s(approx (+ (* b b) 4) #s(literal 4 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)))
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(pow.f64 b #s(literal 4 binary64))
(*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))) a)
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) a) b) b)
(*.f64 (*.f64 b b) (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) a))
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) a) (*.f64 b b))
(*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 a (*.f64 b b)))
(*.f64 b (*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) a) b))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b b)))
(fma.f64 (*.f64 b b) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) a)))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 b b)))
(+.f64 (*.f64 (*.f64 b b) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a)) (*.f64 (*.f64 b b) (*.f64 #s(literal 2 binary64) a)))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a))) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a)))) (pow.f64 (+.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))) a))) #s(literal 2 binary64)))
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(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))))
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a)))
(*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)
(*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))
(*.f64 (*.f64 a a) #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)))
(*.f64 a (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a))
#s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) a)
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (pow.f64 a #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 a))
(pow.f64 (*.f64 a a) #s(literal 2 binary64))
(pow.f64 a #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (*.f64 (log.f64 a) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (pow.f64 b #s(literal 3 binary64)) b)
(*.f64 (*.f64 b b) (*.f64 b b))
(*.f64 b (pow.f64 b #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 b))
(pow.f64 (*.f64 b b) #s(literal 2 binary64))
(pow.f64 b #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 b) #s(literal 2 binary64) (*.f64 (log.f64 b) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 4 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)) a)
(*.f64 a (+.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64)) a)) (neg.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 a b) #s(literal 6 binary64))) a)) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 a (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 a b) #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 a b) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 #s(literal 2 binary64) a))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64)) a) (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 a b) #s(literal 6 binary64))) a) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 a (+.f64 #s(literal 8 binary64) (pow.f64 (/.f64 a b) #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 (/.f64 a b) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 #s(literal 2 binary64) a)))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (/.f64 a b) #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 #s(literal 2 binary64) a)))))
(fma.f64 (*.f64 (/.f64 a b) a) (/.f64 a b) (*.f64 #s(literal 2 binary64) a))
(fma.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a (*.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 2 binary64) a (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a))
(fma.f64 (/.f64 a b) (*.f64 (/.f64 a b) a) (*.f64 #s(literal 2 binary64) a))
(fma.f64 a (pow.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 a #s(literal 2 binary64) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a))
(+.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a))
(+.f64 (*.f64 (pow.f64 (/.f64 a b) #s(literal 2 binary64)) a) (*.f64 #s(literal 2 binary64) a))

eval42.0ms (0.5%)

Memory
2.9MiB live, 41.3MiB allocated
Compiler

Compiled 11 820 to 719 computations (93.9% saved)

prune45.0ms (0.5%)

Memory
-21.8MiB live, 25.5MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1844188
Fresh000
Picked145
Done235
Total18711198
Accuracy
100.0%
Counts
198 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
68.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
70.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
73.5%
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
73.2%
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
52.8%
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
50.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
45.3%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
50.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
45.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
24.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 154 to 357 computations (69.1% saved)

regimes43.0ms (0.5%)

Memory
3.3MiB live, 80.5MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Calls

6 calls:

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

Compiled 40 to 32 computations (20% saved)

regimes43.0ms (0.5%)

Memory
13.0MiB live, 92.8MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
Calls

6 calls:

10.0ms
a
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
7.0ms
b
6.0ms
(*.f64 b b)
6.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.9%2a
98.3%2b
87.1%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
87.1%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
98.9%2(*.f64 a a)
98.3%2(*.f64 b b)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes15.0ms (0.2%)

Memory
-5.9MiB live, 32.8MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 a (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 2 binary64))) (*.f64 b b))) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* b b) (+ (* (* a a) 2) 4)) b) (pow.f64 b #s(literal 3 binary64))) b)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
Calls

2 calls:

8.0ms
a
6.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.9%2a
98.9%2(*.f64 a a)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
Outputs
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
a
4.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
98.9%2a
98.9%2(*.f64 a a)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes19.0ms (0.2%)

Memory
4.7MiB live, 43.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
Calls

4 calls:

5.0ms
(*.f64 a a)
4.0ms
b
4.0ms
a
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.3%2b
98.3%2(*.f64 b b)
94.8%2a
94.8%2(*.f64 a a)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes10.0ms (0.1%)

Memory
-18.9MiB live, 19.8MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (* (+ (* (* b b) 2) (* a a)) a) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* b b) (+ (* (* a a) 2) 4)) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
(*.f64 b b)
4.0ms
b
Results
AccuracySegmentsBranch
95.7%2b
95.7%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes7.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

3.0ms
b
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.7%2b
95.7%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes36.0ms (0.4%)

Memory
-14.1MiB live, 30.3MiB allocated
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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

4 calls:

27.0ms
b
3.0ms
a
3.0ms
(*.f64 b b)
3.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
94.8%2a
94.8%2(*.f64 a a)
77.4%3b
77.4%3(*.f64 b b)
Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

3.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
94.8%2a
94.8%2(*.f64 a a)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes27.0ms (0.3%)

Memory
-28.2MiB live, 11.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

25.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
94.4%2a
94.4%2(*.f64 a a)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes9.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 b b) (*.f64 b b)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

4 calls:

2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
2.0ms
(*.f64 a a)
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
73.6%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
73.6%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
82.4%3a
82.4%3(*.f64 a a)
Compiler

Compiled 36 to 27 computations (25% saved)

regimes4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
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) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a)))
Calls

2 calls:

2.0ms
a
2.0ms
(*.f64 a a)
Results
AccuracySegmentsBranch
80.6%2a
80.6%2(*.f64 a a)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes12.0ms (0.1%)

Memory
-8.9MiB live, 28.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

6 calls:

4.0ms
(*.f64 a a)
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)))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
52.8%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
52.8%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
52.8%1b
52.8%1(*.f64 b b)
52.8%1a
52.8%1(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

regimes9.0ms (0.1%)

Memory
-17.0MiB live, 21.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

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))
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
a
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
24.7%1b
24.7%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
24.7%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b)))
24.7%1(*.f64 b b)
24.7%1a
24.7%1(*.f64 a a)
Compiler

Compiled 40 to 32 computations (20% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
98643811.33307351
19741877503.239773
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
98643811.33307351
19741877503.239773
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
98643811.33307351
19741877503.239773
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.474872783704942
727497592.6691785
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.474872783704942
727497592.6691785
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.474872783704942
727497592.6691785
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch11.0ms (0.1%)

Memory
23.3MiB live, 23.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
19741877503.239773
173913033852.74536
Samples
6.0ms96×0valid
Compiler

Compiled 350 to 250 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 1.0ms (27.9% of total)
ival-mult: 1.0ms (27.9% of total)
ival-pow2: 1.0ms (27.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
19741877503.239773
173913033852.74536
Compiler

Compiled 308 to 220 computations (28.6% saved)

bsearch4.0ms (0.1%)

Memory
-38.7MiB live, 3.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
19741877503.239773
173913033852.74536
Compiler

Compiled 380 to 256 computations (32.6% saved)

bsearch28.0ms (0.3%)

Memory
21.2MiB live, 58.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
19741877503.239773
173913033852.74536
16.0ms
2.1626173644913425e-27
1.0096404907694599e-12
Samples
15.0ms192×0valid
Compiler

Compiled 906 to 592 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-pow2: 4.0ms (40.9% of total)
ival-mult: 3.0ms (30.7% of total)
ival-add: 2.0ms (20.5% of total)
ival-sub: 1.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Memory
-5.3MiB live, 33.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
19741877503.239773
173913033852.74536
Samples
8.0ms80×0valid
Compiler

Compiled 362 to 244 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (37.2% of total)
ival-sub: 1.0ms (18.6% of total)
ival-add: 1.0ms (18.6% of total)
ival-pow2: 1.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify49.0ms (0.6%)

Memory
11.3MiB live, 94.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106867
1130867
2138867
3148867
Stop Event
saturated
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))
(if (<=.f64 (*.f64 a a) #s(literal 100000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 100000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 100000000 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 10 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 10 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 10 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 106000000000 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 a a) #s(literal 106000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 a a) #s(literal 106000000000 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 a a) #s(literal 1188422437713965/9903520314283042199192993792 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 a a) #s(literal 120000000000 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) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 (*.f64 a a) #s(literal 22000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 a a) #s(literal 100000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 100000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) (*.f64 #s(literal 4 binary64) b)) b)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 100000000 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (+.f64 (*.f64 #s(literal 4 binary64) b) (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b)) b)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 a a) #s(literal 100000000 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a)) #s(literal 1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 10 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (fma.f64 b b (fma.f64 (*.f64 a a) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 10 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) a) a)) #s(literal 1 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 10 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) (*.f64 #s(approx (+ (* (* b b) 2) (* a a)) (*.f64 a a)) (*.f64 a a))) #s(literal 1 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 a a) #s(literal 106000000000 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 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) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 a a) #s(literal 106000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 a a) #s(literal 106000000000 binary64)) #s(approx (/ 1 (/ 1 (- (+ (* (* 4 b) b) (pow (pow (sqrt (+ (* b b) (* a a))) 2) 2)) 1))) (fma.f64 (*.f64 #s(approx (+ (* b b) 4) (*.f64 b b)) b) b #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
(if (<=.f64 (*.f64 a a) #s(literal 1188422437713965/9903520314283042199192993792 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 a a) #s(literal 120000000000 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) (*.f64 (*.f64 a a) (*.f64 a a)))))
(if (<=.f64 (*.f64 a a) #s(literal 22000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) (*.f64 (*.f64 a a) (*.f64 a a))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b))) 1) #s(approx (+ (* (* b b) (+ (* b b) 4)) -1) #s(literal -1 binary64)))

soundness2.2s (26.1%)

Memory
22.8MiB live, 1 248.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039326
067284
1321284
22339284
08128284
0137888
1445852
21306834
34045782
47841782
08019707
02481985
17961919
228621849
084281688
01256
01956
17756
260456
0806646
079494
1240458
2671450
33124434
47168434
08189383
0105648
1333624
2952616
34224600
08360535
049353
066341
1323341
22179341
08800295
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 623 to 673 computations (58.5% saved)

preprocess84.0ms (1%)

Memory
-12.3MiB live, 140.7MiB allocated
Remove

(abs a)

(abs b)

Compiler

Compiled 1 904 to 340 computations (82.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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