Bouland and Aaronson, Equation (24)

Time bar (total: 9.1s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.8s (20%)

Memory
13.9MiB live, 2 073.0MiB allocated; 415ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 949.0ms
ival-mult: 420.0ms (44.3% of total)
ival-add: 253.0ms (26.7% of total)
ival-pow2: 131.0ms (13.8% of total)
ival-sub: 121.0ms (12.8% of total)
exact: 13.0ms (1.4% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 4.0ms (0.4% of total)
adjust: 3.0ms (0.3% of total)
Bogosity

explain337.0ms (3.7%)

Memory
12.0MiB live, 265.9MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
340-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
100-0-(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(-.f64 #s(literal 1 binary64) a)
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 3 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))nan-rescue350
(*.f64 b b)overflow55
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow135
(*.f64 a a)overflow54
(+.f64 (*.f64 a a) (*.f64 b b))overflow96
(*.f64 b b)overflow55
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))overflow106
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow106
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow70
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow70
(*.f64 a a)overflow54
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue340
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow70
(*.f64 a a)overflow54
(*.f64 b b)overflow55
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow70
Confusion
Predicted +Predicted -
+560
-0200
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5600
-00200
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0200
143
213
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
101.0ms512×0valid
Compiler

Compiled 305 to 58 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-add: 53.0ms (66.1% of total)
ival-mult: 15.0ms (18.7% of total)
ival-sub: 5.0ms (6.2% of total)
ival-pow2: 5.0ms (6.2% of total)
exact: 1.0ms (1.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess236.0ms (2.6%)

Memory
22.7MiB live, 155.7MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044151
1173151
2796149
33586149
01829
03029
17629
230329
3138029
4506029
0802626
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
Symmetry

(abs b)

Compiler

Compiled 29 to 18 computations (37.9% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify243.0ms (2.7%)

Memory
-32.5MiB live, 116.2MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff1
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff1
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff1
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018136
030136
176136
2303136
31380136
45060136
08026126
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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (-.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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (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 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64))
#s(literal 4 binary64)
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize39.0ms (0.4%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11556625976844201
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy2.3418808622606346
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy6.984375000000001
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
accuracy7.433566915792676
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
Samples
28.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.5% of total)
ival-add: 4.0ms (23.2% of total)
ival-sub: 2.0ms (11.6% of total)
ival-pow2: 2.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
6 → 55
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (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 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(* (pow b 2) (+ 3 a))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
2.0ms
b
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
2.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
1.0ms
a
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))
1.0ms
b
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* a a) (* b b)) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (* (* b b) (+ 3 a)) (pow (+ (* a a) (* b b)) 2))

simplify216.0ms (2.4%)

Memory
-18.0MiB live, 123.2MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911003
1653947
22682885
08570819
Stop Event
iter limit
node limit
Counts
55 → 55
Calls
Call 1
Inputs
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (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 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(* (pow b 2) (+ 3 a))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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
(+ (* 12 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(* 3 (pow b 2))
(*.f64 #s(literal 3 binary64) (*.f64 b b))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (-.f64 a (*.f64 a a)) a))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(-.f64 (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(*.f64 (fma.f64 (/.f64 b a) (/.f64 b a) #s(literal 1 binary64)) (*.f64 a a))
(* -1 (pow a 3))
(pow.f64 (neg.f64 a) #s(literal 3 binary64))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) a)
(* (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 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (+.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(* (pow a 2) (- 1 a))
(*.f64 (-.f64 a (*.f64 a a)) a)
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (-.f64 a (*.f64 a a)) a))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal -12 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 a b) #s(literal 1 binary64)) (*.f64 b b))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (pow.f64 b #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 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)))

rewrite250.0ms (2.7%)

Memory
-8.5MiB live, 142.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01894
03094
115494
2146894
0827081
Stop Event
iter limit
node limit
iter limit
Counts
6 → 562
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.f64 (*.f64 a a) (*.f64 b b))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (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) (fma.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 4 binary64) (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 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3 binary64) a)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a))) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 3 binary64) a)) (*.f64 b b))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)))) (fabs.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))) (fabs.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (hypot.f64 b a) #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 b a) #s(literal 2 binary64))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 b a) #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 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 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 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))
(fma.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)))
(fma.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)))
(fma.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))
(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 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #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 (cosh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))))

eval125.0ms (1.4%)

Memory
11.0MiB live, 98.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 41 484 to 3 024 computations (92.7% saved)

prune13.0ms (0.1%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6039612
Fresh000
Picked101
Done000
Total6049613
Accuracy
100.0%
Counts
613 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
21.4%
(-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
78.1%
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
75.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
68.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
74.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
59.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
Compiler

Compiled 744 to 468 computations (37.1% saved)

simplify187.0ms (2%)

Memory
-20.9MiB live, 209.9MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
cost-diff0
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff1
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff1
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
cost-diff1
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
cost-diff0
(pow.f64 a #s(literal 4 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff1
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff1
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
cost-diff2
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053675
087675
1180675
2670675
33266675
08199624
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(*.f64 a a)
a
#s(literal 2 binary64)
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 4 binary64)
#s(literal 12 binary64)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
a
#s(literal 4 binary64)
(*.f64 a a)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(*.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
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(fma.f64 (*.f64 b b) (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b)
(*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) b)
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 a a)
a
#s(literal 2 binary64)
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 4 binary64)
#s(literal 12 binary64)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (-.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)) #s(literal 1 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
a
#s(literal 4 binary64)
(*.f64 a a)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) (-.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64) #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(*.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
(pow.f64 b #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)) #s(literal 4 binary64))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(-.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize262.0ms (2.9%)

Memory
-31.6MiB live, 247.1MiB allocated; 108ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy2.3418808622606346
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy3.787466481311509
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
accuracy6.984375000000001
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
accuracy7.433566915792676
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy0.0
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy0.0
(*.f64 a a)
accuracy5.19140625
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
accuracy19.720275846625746
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
accuracy0.0
(pow.f64 a #s(literal 4 binary64))
accuracy0.0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy33.029778309560115
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
accuracy0.0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
accuracy0.0
(*.f64 a a)
accuracy0.06707001953688403
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy27.428564110293127
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
accuracy0.0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
accuracy0.06707001953688403
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy0.07421875
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
accuracy3.1655710962145585
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b)
Samples
135.0ms238×0valid
80.0ms2valid
7.0ms10×1valid
Compiler

Compiled 559 to 44 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-add: 82.0ms (41.5% of total)
ival-sub: 63.0ms (31.9% of total)
ival-mult: 24.0ms (12.1% of total)
adjust: 19.0ms (9.6% of total)
ival-pow: 6.0ms (3% of total)
ival-pow2: 3.0ms (1.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
-8.3MiB live, 35.6MiB allocated; 7ms collecting garbage
Counts
23 → 112
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(*.f64 a a)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 4)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 2)
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(- (pow a 4) 1)
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* (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)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ 3 a))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (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 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)))))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
b
@inf
((+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (pow a 4) 1) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
3.0ms
a
@0
((+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (pow a 4) 1) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
3.0ms
a
@-inf
((+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (pow a 4) 1) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
3.0ms
a
@inf
((+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (pow a 4) 1) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))
2.0ms
b
@-inf
((+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow a 4) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* -4 a) 4) (* a a) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow (+ (* a a) (* b b)) 2) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (pow a 4) 1) (* (+ (* (* b b) 2) (* a a)) a) (* (* b b) (+ 3 a)))

simplify157.0ms (1.7%)

Memory
13.7MiB live, 202.3MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03291808
111411668
246271625
081811480
Stop Event
iter limit
node limit
Counts
112 → 112
Calls
Call 1
Inputs
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 4)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 2)
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(- (pow a 4) 1)
(* 2 (* a (pow b 2)))
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* (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)))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(pow a 3)
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(+ (* 2 (* a (pow b 2))) (pow a 3))
(* (pow b 2) (+ 3 a))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (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 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)))))))
(* (pow b 2) (+ (* 2 a) (/ (pow a 3) (pow b 2))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
Outputs
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (+ (* 4 a) (pow b 2)))
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a)) #s(literal 1 binary64))
(+ (* 12 (pow b 2)) (pow b 4))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* -4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (* a (- a 4))))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64))
(pow a 2)
(*.f64 a a)
(* 3 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 3 binary64))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 a a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* b (+ 12 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(* (pow b 2) (+ 12 (pow b 2)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))
(- (pow a 4) 1)
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(* 2 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b)
(* a (+ (* 2 (pow b 2)) (pow a 2)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) a)
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) a) #s(literal 2 binary64)) (*.f64 a a))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) a) a)
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal 1 binary64)) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a)
(* -1 (pow a 3))
(pow.f64 (neg.f64 a) #s(literal 3 binary64))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (/.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 #s(literal 2 binary64) a) (*.f64 b (/.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)))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64))) a) a)
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(* (pow a 4) (- 1 (/ 1 (pow a 4))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)))) (pow.f64 a #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 b (/.f64 b a)) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) a)
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) a) #s(literal 2 binary64)) (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) a) a)
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 (neg.f64 a) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (+.f64 (/.f64 (fma.f64 b (/.f64 b a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(* -1 (* (pow a 3) (- (* -2 (/ (pow b 2) (pow a 2))) 1)))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) a) (*.f64 b (/.f64 b a))) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal -1 binary64))) a)
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(* (pow a 2) (- 1 a))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a))
(+ (* 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)))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b))
(+ (* 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) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(*.f64 b (fma.f64 b (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) b))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) a #s(literal -4 binary64)) a #s(literal -12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 a (fma.f64 a (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 #s(literal 2 binary64) b) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) a #s(literal -4 binary64)) a #s(literal -12 binary64)) b) b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) a #s(literal -4 binary64)) a #s(literal -12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (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))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) a #s(literal -4 binary64)) a #s(literal -12 binary64)) b) b) #s(literal 1 binary64)))

rewrite200.0ms (2.2%)

Memory
-8.9MiB live, 227.0MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053543
087543
1439543
24047543
08424495
Stop Event
iter limit
node limit
iter limit
Counts
23 → 470
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(*.f64 a a)
(+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
#s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64))))
(*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a)
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a))))))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 a)) (neg.f64 a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 a)) (fabs.f64 a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal 2 binary64)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (neg.f64 b) (neg.f64 b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) #s(literal 2 binary64)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (fabs.f64 b) (fabs.f64 b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 b b (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 a (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))) (/.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))))
(-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 a a)))
(-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (*.f64 (neg.f64 a) a) #s(literal 2 binary64)))
(-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) a)))
(+.f64 (+.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (*.f64 #s(literal 4 binary64) a)) #s(literal 12 binary64))
(+.f64 (+.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) #s(literal 12 binary64)) (*.f64 #s(literal 4 binary64) a))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) a (*.f64 b b))) #s(literal 12 binary64))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b))
(+.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))) (/.f64 (pow.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (-.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))))))
(+.f64 (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))) (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
(+.f64 (fma.f64 #s(literal 4 binary64) a (*.f64 b b)) (+.f64 #s(literal 12 binary64) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+.f64 (*.f64 b b) (+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 a a))))
(+.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 a a)))
(+.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a))))
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(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (*.f64 b #s(literal 2 binary64)) b (*.f64 (neg.f64 a) a)))
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 a)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (fabs.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (pow.f64 (fabs.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (fabs.f64 a)) #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 a) #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (fabs.f64 a) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 a) #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (pow.f64 (fabs.f64 a) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 a) #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (neg.f64 a) (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (neg.f64 a) (*.f64 a a) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (fabs.f64 a) (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (fabs.f64 a) (*.f64 a a) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a (pow.f64 a #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) (neg.f64 a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (*.f64 a a) (neg.f64 a) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) (fabs.f64 a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (*.f64 a a) (fabs.f64 a) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) a (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 (*.f64 a a) a (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(fma.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(fma.f64 a (*.f64 a a) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a (*.f64 (*.f64 b b) #s(literal 2 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) (neg.f64 b)) (neg.f64 b))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) (fabs.f64 b)) (fabs.f64 b))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) (+.f64 #s(literal 3 binary64) a)))
(*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
(*.f64 b (*.f64 (+.f64 #s(literal 3 binary64) a) b))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) a)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) a)))))
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 b)) (neg.f64 b) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 #s(literal 3 binary64) (fabs.f64 b)) (fabs.f64 b) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 a (neg.f64 b)) (neg.f64 b) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (*.f64 a (fabs.f64 b)) (fabs.f64 b) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (*.f64 a b) b (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) a))
(fma.f64 (neg.f64 b) (*.f64 (neg.f64 b) a) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) a))
(fma.f64 (fabs.f64 b) (*.f64 (fabs.f64 b) a) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b b) a (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 (*.f64 b b) a))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 b b) a))
(fma.f64 b (*.f64 b a) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(fma.f64 a (*.f64 b b) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (neg.f64 a) (*.f64 b b)))
(-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 b) b) a))
(+.f64 (*.f64 (*.f64 b b) a) (*.f64 (*.f64 b b) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) a))

eval157.0ms (1.7%)

Memory
8.1MiB live, 206.7MiB allocated; 20ms collecting garbage
Compiler

Compiled 48 199 to 3 556 computations (92.6% saved)

prune34.0ms (0.4%)

Memory
-25.4MiB live, 76.3MiB allocated; 8ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New81913832
Fresh314
Picked415
Done000
Total82615841
Accuracy
100.0%
Counts
841 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
55.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
86.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
98.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
75.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
78.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
68.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
75.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
68.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
44.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
52.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
30.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
Compiler

Compiled 1 377 to 840 computations (39% saved)

simplify175.0ms (1.9%)

Memory
47.0MiB live, 235.4MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
cost-diff2
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
cost-diff0
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
cost-diff0
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
cost-diff1
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060710
088696
1194696
2709696
33604692
08149647
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
a
(+.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
(*.f64 a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
#s(literal 2 binary64)
(*.f64 a a)
a
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 4 binary64)
#s(literal 12 binary64)
(*.f64 b b)
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 a a)
a
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a)))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
a
(+.f64 a #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 4 binary64)
(*.f64 a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64)))
#s(literal 2 binary64)
(*.f64 a a)
a
(fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))
b
(fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))
#s(literal 4 binary64)
#s(literal 12 binary64)
(*.f64 b b)
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(+.f64 a #s(literal -4 binary64))
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 1 binary64)

localize145.0ms (1.6%)

Memory
-22.5MiB live, 168.0MiB allocated; 14ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))))
accuracy0.00390625
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
accuracy0.06707001953688403
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
accuracy2.679323791389096
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
accuracy0.0
(*.f64 a a)
accuracy0.00390625
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
accuracy0.06707001953688403
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
accuracy27.428564110293127
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
accuracy0.0
(*.f64 a a)
accuracy0.06707001953688403
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy27.428564110293127
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
accuracy27.57600361969
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
accuracy19.720275846625746
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
accuracy28.485544689993773
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))
accuracy0.06707001953688403
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
accuracy0.07421875
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
accuracy3.1655710962145585
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
accuracy37.15739833603046
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
Samples
98.0ms238×0valid
8.0ms2valid
7.0ms10×1valid
Compiler

Compiled 530 to 47 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-add: 41.0ms (49.7% of total)
ival-mult: 24.0ms (29.1% of total)
adjust: 5.0ms (6.1% of total)
ival-sub: 4.0ms (4.9% of total)
ival-pow: 4.0ms (4.9% of total)
ival-pow2: 3.0ms (3.6% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Counts
22 → 77
Calls
Call 1
Inputs
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
Outputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 2)
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@inf
((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (* b b)) (* (+ (* a (+ a -4)) 4) (* a a))) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ (* a a) (+ (* -4 a) 4)))
2.0ms
b
@-inf
((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (* b b)) (* (+ (* a (+ a -4)) 4) (* a a))) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ (* a a) (+ (* -4 a) 4)))
2.0ms
b
@0
((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (* b b)) (* (+ (* a (+ a -4)) 4) (* a a))) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ (* a a) (+ (* -4 a) 4)))
1.0ms
a
@inf
((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (* b b)) (* (+ (* a (+ a -4)) 4) (* a a))) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ (* a a) (+ (* -4 a) 4)))
1.0ms
a
@-inf
((+ (* a a) (+ (* -4 a) 4)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4)))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (+ (* a (+ a -4)) 4) (* a a)) (+ (* a (+ a -4)) 4) (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (+ (* 2 (* a a)) (+ (* b b) (+ (* 4 a) 12))) (* b b)) (* (+ (* a (+ a -4)) 4) (* a a))) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (+ (* a a) (+ (* -4 a) 4)))

simplify194.0ms (2.1%)

Memory
-30.3MiB live, 211.2MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02441437
18511291
234681256
086731120
Stop Event
iter limit
node limit
Counts
77 → 77
Calls
Call 1
Inputs
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 2)
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a) a)) #s(literal 1 binary64))
(+ (* 12 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a) a))
(* (pow b 2) (+ 12 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b)
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) a) a))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) #s(literal 1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) #s(literal 1 binary64))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* -4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (* a (- a 4))))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(pow a 2)
(*.f64 a a)
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (+ (* 4 a) (pow b 2)))
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(* b (+ 12 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(*.f64 b (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) a) a)
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal 1 binary64)) (*.f64 a a))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (-.f64 (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 a a)) (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) a) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* 2 (pow a 2))
(*.f64 (*.f64 #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) a) a)
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) a) #s(literal 2 binary64)) (*.f64 a a))
(* 2 (* (pow a 2) b))
(*.f64 (*.f64 (*.f64 b a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(*.f64 (*.f64 (*.f64 b (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64))) a) a)
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) a) a)
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)) a) #s(literal 2 binary64)) (*.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b (pow.f64 a #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (pow.f64 a #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2))))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b))
(+ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b))
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64)))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (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)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 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 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (+ (* -4 a) (pow a 2)))) (pow b 4)))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(*.f64 b (fma.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) b b))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)))))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a #s(literal 12 binary64)) b) b) #s(literal 1 binary64)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
(*.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (-.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) a #s(literal -4 binary64)) a #s(literal -12 binary64)) (*.f64 b b)) #s(literal 1 binary64)))

rewrite179.0ms (2%)

Memory
38.9MiB live, 223.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060633
088619
1464615
24004615
08149579
Stop Event
iter limit
node limit
iter limit
Counts
22 → 419
Calls
Call 1
Inputs
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
Outputs
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))
(/.f64 (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (neg.f64 a) (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -4 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 a (+.f64 #s(literal -4 binary64) a) #s(literal 4 binary64))
(fma.f64 a #s(literal -4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))
(-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 (neg.f64 a) a))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (+.f64 #s(literal -4 binary64) a)) a))
(-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 a) (+.f64 #s(literal -4 binary64) a)))
(+.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) a))
(+.f64 (+.f64 #s(literal 4 binary64) (*.f64 a a)) (*.f64 #s(literal -4 binary64) a))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))) (/.f64 #s(literal 64 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))
(+.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))
(+.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal -4 binary64) a) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) (*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) (*.f64 a a))))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 a #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 12 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (pow.f64 a #s(literal 4 binary64))))))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (neg.f64 a)) (neg.f64 a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (fabs.f64 a)) (fabs.f64 a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 a) (fabs.f64 a)) (*.f64 (neg.f64 a) (fabs.f64 a)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 (fabs.f64 a) (neg.f64 a)) (*.f64 (fabs.f64 a) (neg.f64 a)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 (fabs.f64 a) a) (*.f64 (fabs.f64 a) a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 a (fabs.f64 a)) (*.f64 a (fabs.f64 a)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 a) a) (*.f64 (neg.f64 a) a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fabs.f64 a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (neg.f64 a) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (fabs.f64 a) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 a a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) (*.f64 a a)))
(fma.f64 a (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)) a))
(-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 a) a) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))
(-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 a a)))
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (*.f64 (*.f64 (neg.f64 a) a) (*.f64 a a)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
(+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a) (pow.f64 a #s(literal 4 binary64)))
#s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))

eval98.0ms (1.1%)

Memory
-32.8MiB live, 115.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 35 711 to 2 220 computations (93.8% saved)

prune25.0ms (0.3%)

Memory
12.8MiB live, 58.9MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New5336539
Fresh369
Picked235
Done101
Total53915554
Accuracy
100.0%
Counts
554 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))
55.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
86.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
98.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
78.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
75.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
68.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
44.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
52.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
45.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
40.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
30.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
Compiler

Compiled 1 275 to 770 computations (39.6% saved)

simplify174.0ms (1.9%)

Memory
-3.6MiB live, 230.2MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
cost-diff2
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))
cost-diff2
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
cost-diff0
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059740
092728
1202706
2706704
33035699
47193699
08120659
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))
(*.f64 a a)
a
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
(*.f64 a a)
a
#s(literal 4 binary64)
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))
(*.f64 (+.f64 #s(literal -4 binary64) a) a)
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))
#s(literal 4 binary64)
a
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))
(*.f64 b b)
#s(literal 2 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))
(fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 b b)
b
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 a a)
a
(fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)) a) a)
(*.f64 a a)
a
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 a a)
a
#s(literal 4 binary64)
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))
(*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a))
(*.f64 (+.f64 #s(literal -4 binary64) a) a)
(+.f64 #s(literal -4 binary64) a)
#s(literal -4 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64)))
#s(literal 4 binary64)
a
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)
(fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
#s(literal 2 binary64)
#s(literal 1 binary64)

localize179.0ms (2%)

Memory
-22.6MiB live, 276.1MiB allocated; 15ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.46875000000000006
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
accuracy1.2319415769041253
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
accuracy3.752310231311509
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
accuracy8.25761419113439
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)))
accuracy0.010097509768442016
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
accuracy0.01171875
(*.f64 (+.f64 #s(literal -4 binary64) a) a)
accuracy0.09603500976844201
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))
accuracy27.428564110293127
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))))
accuracy0.0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
accuracy0.11328125
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
accuracy0.125
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
accuracy20.988507208628604
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
accuracy0.0
(*.f64 a a)
accuracy0.06707001953688403
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))
accuracy27.428564110293127
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))))
accuracy27.611952577191254
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))
accuracy0.06707001953688403
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))
accuracy0.07421875
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))
accuracy3.1655710962145585
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
accuracy37.15739833603046
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
Samples
72.0ms232×0valid
12.0ms4valid
10.0ms2valid
6.0ms3valid
3.0ms1valid
Compiler

Compiled 554 to 52 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-mult: 36.0ms (47.3% of total)
ival-add: 21.0ms (27.6% of total)
adjust: 12.0ms (15.8% of total)
ival-sub: 3.0ms (3.9% of total)
ival-pow2: 3.0ms (3.9% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
34.5MiB live, 34.5MiB allocated; 0ms collecting garbage
Counts
26 → 97
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))
(*.f64 (+.f64 #s(literal -4 binary64) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 2)
(* -4 (pow a 3))
(* (pow a 3) (- a 4))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(* -4 a)
(* a (- a 4))
(* a (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))) a)) (* 2 (pow b 2)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(* 12 (pow b 2))
(* 12 b)
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(* 4 a)
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* (+ -4 a) a) 4))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) 12) b) b) (* (+ (* b b) 12) b) (+ (* (* a a) 4) (* (* a a) (* (+ -4 a) a))) (* (* a a) (* (+ -4 a) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* 4 a) (+ (* b b) 12)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* 4 a) (+ (* b b) 12)) b) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (* a a) (+ (* (+ -4 a) a) 4)) (+ (* a a) (+ (* -4 a) 4)) (* (+ -4 a) a) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a))
3.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* (+ -4 a) a) 4))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) 12) b) b) (* (+ (* b b) 12) b) (+ (* (* a a) 4) (* (* a a) (* (+ -4 a) a))) (* (* a a) (* (+ -4 a) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* 4 a) (+ (* b b) 12)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* 4 a) (+ (* b b) 12)) b) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (* a a) (+ (* (+ -4 a) a) 4)) (+ (* a a) (+ (* -4 a) 4)) (* (+ -4 a) a) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a))
3.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* (+ -4 a) a) 4))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) 12) b) b) (* (+ (* b b) 12) b) (+ (* (* a a) 4) (* (* a a) (* (+ -4 a) a))) (* (* a a) (* (+ -4 a) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* 4 a) (+ (* b b) 12)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* 4 a) (+ (* b b) 12)) b) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (* a a) (+ (* (+ -4 a) a) 4)) (+ (* a a) (+ (* -4 a) 4)) (* (+ -4 a) a) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a))
3.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* (+ -4 a) a) 4))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) 12) b) b) (* (+ (* b b) 12) b) (+ (* (* a a) 4) (* (* a a) (* (+ -4 a) a))) (* (* a a) (* (+ -4 a) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* 4 a) (+ (* b b) 12)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* 4 a) (+ (* b b) 12)) b) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (* a a) (+ (* (+ -4 a) a) 4)) (+ (* a a) (+ (* -4 a) 4)) (* (+ -4 a) a) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a))
2.0ms
a
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) b) (* (* a a) (+ (* (+ -4 a) a) 4))) (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* a a) (+ (* a a) (+ (* -4 a) 4))) (* a a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (* (* (+ (* b b) 12) b) b) (* (+ (* b b) 12) b) (+ (* (* a a) 4) (* (* a a) (* (+ -4 a) a))) (* (* a a) (* (+ -4 a) a)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+ (* (* (+ (* 4 a) (+ (* b b) 12)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (* (+ (* 4 a) (+ (* b b) 12)) b) (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (* (* a a) (+ (* (+ -4 a) a) 4)) (+ (* a a) (+ (* -4 a) 4)) (* (+ -4 a) a) (* (+ (* (* b b) 2) 4) a) (* (* (+ (* (* b b) 2) 4) a) a))

simplify170.0ms (1.9%)

Memory
6.4MiB live, 196.0MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721627
19971496
240461437
088791289
Stop Event
iter limit
node limit
Counts
97 → 97
Calls
Call 1
Inputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(* (pow b 2) (+ 12 (pow b 2)))
(+ (* 4 (* a (pow b 2))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (* (pow b 2) (+ 12 (pow b 2))))
(+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (* (pow b 2) (+ 12 (pow b 2))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(+ (* a (+ (* 2 (* a b)) (* 4 b))) (* b (+ 12 (pow b 2))))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 2)
(* -4 (pow a 3))
(* (pow a 3) (- a 4))
(+ 12 (pow b 2))
(+ 12 (+ (* 4 a) (pow b 2)))
(+ 12 (+ (* a (+ 4 (* 2 a))) (pow b 2)))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(* -4 a)
(* a (- a 4))
(* a (+ 4 (* 2 (pow b 2))))
(* (pow a 2) (+ 4 (* 2 (pow b 2))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(* 2 (* (pow a 2) b))
(* (pow a 2) (+ (* 2 b) (* 4 (/ b a))))
(* (pow a 2) (+ (* 2 b) (+ (* 4 (/ b a)) (/ (* b (+ 12 (pow b 2))) (pow a 2)))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))))
(* (pow a 2) (+ 4 (+ (* 2 (pow b 2)) (+ (* 4 (/ (pow b 2) a)) (/ (* (pow b 2) (+ 12 (pow b 2))) (pow a 2))))))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* 2 (pow a 2))
(* (pow a 2) (+ 2 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (+ (* 4 (/ 1 a)) (+ (/ 12 (pow a 2)) (/ (pow b 2) (pow a 2))))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a))) a)) (* 2 b)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 4 (+ (* -1 (/ (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a))) a)) (* 2 (pow b 2)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* (pow a 2) (+ 2 (* -1 (/ (- (* -1 (/ (+ 12 (pow b 2)) a)) 4) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* (pow a 2) (+ 4 (* a (- a 4)))) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(* b (+ 12 (+ (* 2 (pow a 2)) (* 4 a))))
(* b (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2)))))
(* 12 (pow b 2))
(* 12 b)
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (* 4 a)))))
(+ (* 4 (pow a 2)) (* (pow b 2) (+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(+ 12 (+ (* 2 (pow a 2)) (* 4 a)))
(+ 12 (+ (* 2 (pow a 2)) (+ (* 4 a) (pow b 2))))
(* 4 a)
(+ (* 2 (* a (pow b 2))) (* 4 a))
(+ (* 2 (* (pow a 2) (pow b 2))) (* 4 (pow a 2)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (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 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 12 (/ 1 (pow b 2))) (/ (* (pow a 2) (+ 4 (* a (- a 4)))) (pow b 4)))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (+ (* 4 (/ (pow a 2) (pow b 4))) (* 12 (/ 1 (pow b 2))))))))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 2)
(* (pow b 2) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2)))))))
(* 2 (* a (pow b 2)))
(* (pow b 2) (+ (* 2 a) (* 4 (/ a (pow b 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (/ (pow a 2) (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (+ (* 2 (pow a 2)) (* 4 a))) (pow b 2))) 1)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
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rewrite201.0ms (2.2%)

Memory
-20.7MiB live, 173.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059674
092662
1464638
24244638
08418593
Stop Event
iter limit
node limit
iter limit
Counts
26 → 393
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))))
(*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))
(*.f64 a a)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))
(*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
#s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b))
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))
(*.f64 (+.f64 #s(literal -4 binary64) a) a)
(*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a)
(*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a)
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)) (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 a) a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (neg.f64 a) a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) (*.f64 a a)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a) (-.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) (*.f64 a a))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))) (*.f64 a a)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (pow.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a) (-.f64 (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))))
(fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 a)) (neg.f64 a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 a)) (fabs.f64 a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (fabs.f64 a)) (fabs.f64 a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) (neg.f64 a)) (neg.f64 a) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) (fabs.f64 a)) (fabs.f64 a) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (neg.f64 b)) (neg.f64 b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (fabs.f64 b)) (fabs.f64 b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a))
(fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))
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(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)) a))
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (*.f64 (neg.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a)) (*.f64 a a)))
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (*.f64 (neg.f64 a) (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a)))
(-.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (neg.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a))))
(-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 (neg.f64 a) a) #s(literal 4 binary64)))
(-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (*.f64 #s(literal -4 binary64) (*.f64 a a)))
(-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (*.f64 (neg.f64 a) (*.f64 #s(literal 4 binary64) a)))
(+.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 64 binary64)) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)))) (/.f64 (*.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 (+.f64 #s(literal -4 binary64) a) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 4 binary64))) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)))))
(+.f64 (*.f64 (*.f64 a a) #s(literal 4 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)))
(+.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) a)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
#s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64))
(*.f64 (+.f64 #s(literal -4 binary64) a) a)
(*.f64 a (+.f64 #s(literal -4 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) a) (-.f64 #s(literal -4 binary64) a))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -64 binary64)) a) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 a (-.f64 #s(literal 16 binary64) (*.f64 a a))) (-.f64 #s(literal -4 binary64) a))
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -64 binary64))) (fma.f64 a (-.f64 a #s(literal -4 binary64)) #s(literal 16 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 16 binary64) (*.f64 a a))) (*.f64 a (-.f64 a #s(literal -4 binary64))))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 #s(literal -4 binary64) a)))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a)) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a)) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a)) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (fabs.f64 a) (fabs.f64 a) (*.f64 #s(literal -4 binary64) a))
(fma.f64 #s(literal -4 binary64) a (*.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 #s(literal -4 binary64) a))
(fma.f64 a #s(literal -4 binary64) (*.f64 a a))
(fma.f64 a a (*.f64 #s(literal -4 binary64) a))
(-.f64 (*.f64 a a) (*.f64 (neg.f64 a) #s(literal -4 binary64)))
(-.f64 (*.f64 a a) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 a a))
(+.f64 (*.f64 a a) (*.f64 #s(literal -4 binary64) a))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a)
(*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)) a) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) a) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))))
(/.f64 (*.f64 a (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 4 binary64)))
(/.f64 (*.f64 a (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a (*.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(fma.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b)) (*.f64 #s(literal 4 binary64) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 #s(literal 2 binary64) (*.f64 b b))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (fabs.f64 a)) (fabs.f64 a))
(*.f64 (*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (neg.f64 a))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))
(*.f64 a (*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)) a))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 a a)) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 a a)) (fma.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 b b) #s(literal 8 binary64)))))

eval203.0ms (2.2%)

Memory
-3.1MiB live, 122.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 30 880 to 2 196 computations (92.9% saved)

prune94.0ms (1%)

Memory
13.6MiB live, 64.6MiB allocated; 47ms collecting garbage
Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New4967503
Fresh347
Picked145
Done033
Total50018518
Accuracy
100.0%
Counts
518 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
78.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b)) a))) #s(literal 1 binary64))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
98.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
74.9%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b))) #s(literal 1 binary64))
69.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
75.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
68.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
44.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
52.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
53.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
70.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* 4 a) (+ (* b b) 12)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (*.f64 (fma.f64 (*.f64 b (/.f64 b a)) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a)))) #s(literal 1 binary64))
53.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
45.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
40.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
30.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
Compiler

Compiled 2 497 to 740 computations (70.4% saved)

regimes126.0ms (1.4%)

Memory
4.0MiB live, 76.1MiB allocated; 39ms collecting garbage
Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b)) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* 4 a) (+ (* b b) 12)) b) b) (* (* (+ (* (* b b) 2) 4) a) a)) (*.f64 (fma.f64 (*.f64 b (/.f64 b a)) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 #s(approx (* (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) b) (*.f64 (fma.f64 (/.f64 b a) (-.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) b)) (*.f64 a a))) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 a #s(literal 4 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(approx (pow (+ (* a a) (* b b)) 2) (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
Calls

5 calls:

34.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
9.0ms
b
9.0ms
a
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
8.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
99.9%1(*.f64 b b)
99.9%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
99.9%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
99.9%1a
99.9%1b
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes89.0ms (1%)

Memory
40.6MiB live, 84.2MiB allocated; 14ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 #s(approx (* (+ (* (* b b) 2) 4) a) (*.f64 (*.f64 (*.f64 b a) #s(literal 2 binary64)) b)) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 b b) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Calls

5 calls:

63.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
6.0ms
b
6.0ms
a
6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.8%1(*.f64 b b)
98.8%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
98.8%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
98.8%1a
98.8%1b
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes113.0ms (1.2%)

Memory
-15.2MiB live, 50.2MiB allocated; 48ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (+.f64 (*.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
Calls

5 calls:

95.0ms
b
5.0ms
a
4.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
4.0ms
(*.f64 b b)
4.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
96.1%2(*.f64 b b)
81.1%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
81.1%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
96.8%3a
96.1%2b
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes32.0ms (0.4%)

Memory
-26.5MiB live, 17.8MiB allocated; 21ms collecting garbage
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal -4 binary64) a) a)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
Calls

2 calls:

27.0ms
(*.f64 b b)
4.0ms
b
Results
AccuracySegmentsBranch
96.1%2(*.f64 b b)
96.1%2b
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes6.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64))
Calls

2 calls:

3.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.3%2(*.f64 b b)
95.3%2b
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes43.0ms (0.5%)

Memory
-9.1MiB live, 36.4MiB allocated; 5ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
Calls

5 calls:

33.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
2.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
68.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
68.3%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
79.3%3a
80.2%2(*.f64 b b)
80.2%2b
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes9.0ms (0.1%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
59.1%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
59.1%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
69.0%3a
68.3%2(*.f64 b b)
68.3%2b
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes32.0ms (0.4%)

Memory
-20.3MiB live, 26.9MiB allocated; 1ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
Calls

5 calls:

25.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
53.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
53.3%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
53.3%1a
53.3%1(*.f64 b b)
53.3%1b
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes7.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
Calls

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
b
1.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
53.3%1(*.f64 b b)
53.3%1b
53.3%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
53.3%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
53.3%1a
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes50.0ms (0.6%)

Memory
-31.8MiB live, 19.2MiB allocated; 23ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
Calls

5 calls:

46.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
30.0%1(*.f64 b b)
30.0%1b
30.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
30.0%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
30.0%1a
Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch31.0ms (0.3%)

Memory
-6.5MiB live, 44.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
1.4103268070037294
3983.861397945904
Samples
22.0ms128×0valid
Compiler

Compiled 688 to 454 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.1% of total)
ival-add: 2.0ms (22.6% of total)
ival-sub: 1.0ms (11.3% of total)
ival-pow2: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4103268070037294
3983.861397945904
Compiler

Compiled 656 to 438 computations (33.2% saved)

bsearch1.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4103268070037294
3983.861397945904
Compiler

Compiled 632 to 406 computations (35.8% saved)

bsearch48.0ms (0.5%)

Memory
-8.1MiB live, 39.4MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
45.0ms
2.495337795794944e+152
2.615457578846043e+155
Samples
12.0ms128×0valid
Compiler

Compiled 688 to 438 computations (36.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 4.0ms (45.2% of total)
ival-add: 2.0ms (22.6% of total)
ival-sub: 1.0ms (11.3% of total)
ival-pow2: 1.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.495337795794944e+152
2.615457578846043e+155
Samples
7.0ms80×0valid
Compiler

Compiled 752 to 486 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (36.6% of total)
ival-sub: 1.0ms (18.3% of total)
ival-add: 1.0ms (18.3% of total)
ival-pow2: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify55.0ms (0.6%)

Memory
-11.9MiB live, 35.4MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0102682
1183680
2533680
32158678
46090678
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(if (<=.f64 b #s(literal 76 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 76 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 76 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 1399999999999999925198478837902269650546996699034147042987300928852748178506796870244624560578446673219173537264251080606467419250124021914243015433519104 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 459999999999999970106051234748592485733244777701815148566336352738662303450476371930557848274921953443302477023297561240547708290636705743683904587431936 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) b) b (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 #s(approx (+ (* (* a a) 2) (+ (* b b) (+ (* 4 a) 12))) (*.f64 b b)) b) b (*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal -4 binary64) a) a #s(literal 4 binary64))))) #s(literal 1 binary64))
(if (<=.f64 b #s(literal 76 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal -4 binary64) a) a) a) a (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 76 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) a) a)) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 76 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 1399999999999999925198478837902269650546996699034147042987300928852748178506796870244624560578446673219173537264251080606467419250124021914243015433519104 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)))
(if (<=.f64 b #s(literal 459999999999999970106051234748592485733244777701815148566336352738662303450476371930557848274921953443302477023297561240547708290636705743683904587431936 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) #s(approx (+ (* a a) (+ (* -4 a) 4)) #s(literal 4 binary64)))) #s(literal 1 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) 12) b) (*.f64 #s(literal 12 binary64) b)) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (* (* (+ (* b b) 12) b) b) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (+ (* -4 a) 4) (* a a)) (- (pow a 4) 1)) #s(literal -1 binary64)))

derivations2.2s (24.1%)

Memory
-123.7MiB live, 785.6MiB allocated; 1.5s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053543
087543
1439543
24047543
08424495
02721627
19971496
240461437
088791289
060633
088619
1464615
24004615
08149579
03291808
111411668
246271625
081811480
01911003
1653947
22682885
08570819
059674
092662
1464638
24244638
08418593
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
Compiler

Compiled 682 to 107 computations (84.3% saved)

preprocess80.0ms (0.9%)

Memory
9.3MiB live, 102.6MiB allocated; 14ms collecting garbage
Remove

(abs b)

Compiler

Compiled 1 536 to 316 computations (79.4% saved)

end0.0ms (0%)

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

Profiling

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