Bouland and Aaronson, Equation (24)

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 31 to 19 computations (38.7% saved)

sample1.4s (17.7%)

Memory
23.6MiB live, 1 512.8MiB allocated
Samples
981.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 768.0ms
ival-mult: 284.0ms (37% of total)
ival-add: 237.0ms (30.9% of total)
ival-sub: 134.0ms (17.5% of total)
ival-pow2: 92.0ms (12% of total)
exact: 12.0ms (1.6% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain436.0ms (5.6%)

Memory
20.4MiB live, 549.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-0-(+.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)))))
330-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
120-2(1.652391159118248e+130 -6.137860489212951e-162)(*.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)
02(2.181601623320585e-162 -6.025998128608569e-244)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-rescue400
(*.f64 b b)overflow60
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow145
(*.f64 a a)overflow55
(+.f64 (*.f64 a a) (*.f64 b b))overflow98
(*.f64 b b)overflow60
(*.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))))overflow117
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow117
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow74
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow76
(*.f64 a a)overflow55
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue330
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow76
(*.f64 a a)overflow55
(*.f64 b b)overflow60
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow74
Confusion
Predicted +Predicted -
+580
-0198
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5800
-00198
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0198
143
215
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
60.0ms512×0valid
Compiler

Compiled 577 to 139 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 15.0ms (39.6% of total)
ival-add: 11.0ms (29.1% of total)
ival-sub: 5.0ms (13.2% of total)
ival-pow2: 5.0ms (13.2% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess242.0ms (3.1%)

Memory
-25.9MiB live, 213.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044149
1154147
2653145
32940145
46883145
01829
03029
16329
217829
355229
4155829
5283629
6670329
0809126
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 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.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
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.2%
(-.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))
Compiler

Compiled 29 to 18 computations (37.9% saved)

simplify231.0ms (3%)

Memory
27.1MiB live, 217.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.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
163136
2178136
3552136
41558136
52836136
66703136
08091126
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 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (-.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)

localize43.0ms (0.6%)

Memory
-39.4MiB live, 54.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.139003759768442
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy2.751538193945444
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy7.335906537453088
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy7.976562500000001
(+.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)))))
Samples
27.0ms256×0valid
Compiler

Compiled 274 to 38 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (40.3% of total)
ival-add: 4.0ms (23% of total)
ival-sub: 2.0ms (11.5% of total)
ival-pow2: 2.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
5 → 47
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)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
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))))
(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))
(* (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)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (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)))
(+ (* 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 2) (+ 3 a))
(* (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)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Calls

6 calls:

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

simplify207.0ms (2.7%)

Memory
24.1MiB live, 180.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0181754
1564731
21725707
35123682
47250682
08277625
Stop Event
iter limit
node limit
Counts
47 → 47
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))))
(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))
(* (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)))))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* (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)))
(+ (* 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 2) (+ 3 a))
(* (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)))))
(* (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 #s(literal 12 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #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 (fma.f64 (neg.f64 a) 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)))
(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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 4 binary64) a) (-.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #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 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 (/.f64 #s(literal 1 binary64) 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 (*.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)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* a (pow b 2))
(*.f64 (*.f64 b b) a)
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) 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)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 b a) b #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 (/.f64 #s(literal -3 binary64) a) #s(literal 1 binary64))) 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 (/.f64 #s(literal 3 binary64) a) #s(literal 1 binary64)) (*.f64 b b)) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) 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 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 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 (-.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (pow.f64 a #s(literal 4 binary64))))
(* (pow a 2) (- 1 a))
(*.f64 (fma.f64 (neg.f64 a) 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 (fma.f64 (neg.f64 a) a a) a))
(+ (* 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 2) (+ 3 a))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) 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)))))))
(fma.f64 (+.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) b) b) a #s(literal 1 binary64)) a #s(literal 3 binary64)) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))

rewrite295.0ms (3.8%)

Memory
-36.2MiB live, 297.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01765
02865
112365
2106165
0848156
Stop Event
iter limit
node limit
iter limit
Counts
5 → 451
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)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
Outputs
(*.f64 (-.f64 (pow.f64 (*.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 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 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) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.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 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.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 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.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)) (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) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.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 2 binary64))) (pow.f64 (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.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 -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)) (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 (fma.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a (*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.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)) (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) (neg.f64 (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (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))))
(pow.f64 (/.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)))) #s(literal -1 binary64))
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(/.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
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(fma.f64 (*.f64 b (hypot.f64 b a)) (*.f64 b (hypot.f64 b a)) (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
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(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))))
(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))))
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(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (pow.f64 (-.f64 #s(literal 3 binary64) a) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (pow.f64 (-.f64 #s(literal 3 binary64) a) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.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 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))))
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) b) b)
(*.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 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
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(/.f64 (neg.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)))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
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(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
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(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.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))) (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) a) (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 b b) (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a)))) (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 (*.f64 b b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) a)))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 b a) b))
(fma.f64 (*.f64 b a) b (*.f64 (*.f64 b #s(literal 3 binary64)) b))
(fma.f64 (*.f64 a b) b (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 (*.f64 b b) a))
(fma.f64 (*.f64 b b) a (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 #s(literal 3 binary64) b) (*.f64 b (*.f64 a b)))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 b b) a))
(fma.f64 b (*.f64 b a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(fma.f64 b (*.f64 a b) (*.f64 b (*.f64 #s(literal 3 binary64) b)))
(fma.f64 a (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))) (/.f64 (pow.f64 (*.f64 (*.f64 b b) a) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))))
(+.f64 (*.f64 (*.f64 b #s(literal 3 binary64)) b) (*.f64 (*.f64 b a) b))
(+.f64 (*.f64 (*.f64 b a) b) (*.f64 (*.f64 b #s(literal 3 binary64)) b))
(+.f64 (*.f64 b (*.f64 #s(literal 3 binary64) b)) (*.f64 b (*.f64 a b)))
(+.f64 (*.f64 b (*.f64 a b)) (*.f64 b (*.f64 #s(literal 3 binary64) b)))
(+.f64 (*.f64 (*.f64 b b) a) (*.f64 #s(literal 3 binary64) (*.f64 b b)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 b b)) (*.f64 (*.f64 b b) a))

eval92.0ms (1.2%)

Memory
3.0MiB live, 78.2MiB allocated
Compiler

Compiled 31 022 to 2 458 computations (92.1% saved)

prune8.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New4864490
Fresh000
Picked101
Done000
Total4874491
Accuracy
100.0%
Counts
491 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
71.8%
(-.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))
68.7%
(-.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))
72.9%
(-.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))
Compiler

Compiled 154 to 99 computations (35.7% saved)

simplify204.0ms (2.6%)

Memory
10.1MiB live, 164.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (neg.f64 a) a 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 (neg.f64 a) a a) a) #s(literal 4 binary64) (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))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff128
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
(*.f64 b b)
cost-diff0
#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))))
cost-diff0
(-.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))
cost-diff6144
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
(pow.f64 a #s(literal 4 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* 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 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
cost-diff0
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #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 (fma.f64 #s(literal 4 binary64) a #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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038392
058392
1115392
2268392
3672392
41561392
53257392
65163389
77485389
08003365
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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(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)
a
#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))))) (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)
(-.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))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 12 binary64)
(pow.f64 b #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))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (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))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(fma.f64 (neg.f64 a) a a)
(neg.f64 a)
a
#s(literal 4 binary64)
(pow.f64 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 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(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)
a
#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))))) (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)
(-.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))
(-.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))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 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))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 b b)
b
#s(literal 12 binary64)
(pow.f64 b #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))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) 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))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 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 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(fma.f64 (neg.f64 a) a a)
(*.f64 (-.f64 #s(literal 1 binary64) a) a)
(neg.f64 a)
a
#s(literal 4 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)

localize144.0ms (1.9%)

Memory
-9.7MiB live, 117.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 a)
accuracy0.0625
(*.f64 (fma.f64 (neg.f64 a) a a) a)
accuracy7.985038769536885
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
accuracy25.440782379502927
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
accuracy0
(-.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))
accuracy0
(*.f64 b b)
accuracy0.09464382300974952
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy23.27866344664803
#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))))
accuracy0
(pow.f64 a #s(literal 4 binary64))
accuracy0
(-.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))
accuracy31.226424494679613
#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
(-.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))
accuracy0.0859375
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
accuracy0.109375
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
accuracy22.648488366340356
#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))
Samples
80.0ms239×0valid
35.0ms2valid
3.0ms1valid
Compiler

Compiled 722 to 75 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 46.0ms (64.3% of total)
ival-add: 10.0ms (14% of total)
ival-pow: 6.0ms (8.4% of total)
ival-pow2: 3.0ms (4.2% of total)
adjust: 2.0ms (2.8% of total)
ival-sub: 2.0ms (2.8% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-16.9MiB live, 20.0MiB allocated
Counts
16 → 56
Calls
Call 1
Inputs
(-.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))
#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))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(-.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 (*.f64 b b) #s(literal 12 binary64) (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))))) (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))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
(*.f64 b b)
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 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 (neg.f64 a) a a) a) #s(literal 4 binary64) (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))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(neg.f64 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))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 a)))
(* -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))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (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 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- 1 (/ 1 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 b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* 12 (pow b 2))
(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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* 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))))) (pow a 4) (+ (* (* b b) 12) (pow b 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))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow 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))))) (* (+ (* (neg a) a) a) a) (neg a))
2.0ms
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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* 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))))) (pow a 4) (+ (* (* b b) 12) (pow b 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))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow 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))))) (* (+ (* (neg a) a) a) a) (neg a))
2.0ms
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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* 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))))) (pow a 4) (+ (* (* b b) 12) (pow b 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))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow 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))))) (* (+ (* (neg a) a) a) a) (neg a))
2.0ms
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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* 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))))) (pow a 4) (+ (* (* b b) 12) (pow b 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))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow 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))))) (* (+ (* (neg a) a) a) a) (neg a))
2.0ms
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))))) (* (* (+ (* b b) (+ (* 4 a) 12)) b) b) (* (+ (* 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))))) (pow a 4) (+ (* (* b b) 12) (pow b 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))))) (* b b) (+ (* (* (+ (* (neg a) a) a) a) 4) (pow 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))))) (* (+ (* (neg a) a) a) a) (neg a))

simplify218.0ms (2.8%)

Memory
10.9MiB live, 96.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0184908
1598859
21791824
36458810
08268722
Stop Event
iter limit
node limit
Counts
56 → 56
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))))
(* b (+ 12 (pow b 2)))
(+ (* 4 (* a b)) (* b (+ 12 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(pow a 2)
(* (pow a 2) (+ 1 (* -1 a)))
(* -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))))
(* 4 (* a (pow b 2)))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(* 4 (* a b))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (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 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- 1 (/ 1 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 b 2) (+ 12 (* 4 a)))
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(* b (+ 12 (* 4 a)))
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(* 12 (pow b 2))
(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 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(pow b 3)
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (*.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))) #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)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 #s(literal 12 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (*.f64 #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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (*.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)))
(* (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))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (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 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* -4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 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)
(* (pow a 2) (+ 1 (* -1 a)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(* -1 a)
(neg.f64 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 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.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 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.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)))
(* 4 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal 4 binary64))
(* a (+ (* 4 (pow b 2)) (/ (* (pow b 2) (+ 12 (pow b 2))) a)))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(* 4 (* a b))
(*.f64 (*.f64 b a) #s(literal 4 binary64))
(* a (+ (* 4 b) (/ (* b (+ 12 (pow b 2))) a)))
(*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 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)))
(* -1 (pow a 3))
(neg.f64 (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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)))
(* -1 (* a (+ (* -4 (pow b 2)) (* -1 (/ (* (pow b 2) (+ 12 (pow b 2))) a)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(* -1 (* a (+ (* -4 b) (* -1 (/ (* b (+ 12 (pow b 2))) a)))))
(*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) 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)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #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 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #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 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) (fma.f64 b b #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) b) b (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(+ (* 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 #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a (*.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)))
(* (pow b 2) (+ 12 (* 4 a)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b)
(* (pow b 2) (+ 12 (+ (* 4 a) (pow b 2))))
(fma.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b) b (pow.f64 b #s(literal 4 binary64)))
(* b (+ 12 (* 4 a)))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) b)
(* b (+ 12 (+ (* 4 a) (pow b 2))))
(*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 b b #s(literal 12 binary64))) b)
(* 12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(pow b 2)
(*.f64 b 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 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) 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))))
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (+ (* 4 (/ a (pow b 2))) (* 12 (/ 1 (pow b 2))))))
(*.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 12 (* 4 a)) (pow b 2))) 1)))
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)) (pow.f64 b #s(literal 3 binary64)))

rewrite221.0ms (2.9%)

Memory
-16.9MiB live, 181.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038355
058355
1292355
22416355
09791323
Stop Event
iter limit
node limit
iter limit
Counts
16 → 323
Calls
Call 1
Inputs
(-.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))
#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))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)
(*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b)
(-.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 (*.f64 b b) #s(literal 12 binary64) (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))))) (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))))) (fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64))))
(*.f64 b b)
(fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 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 (neg.f64 a) a a) a) #s(literal 4 binary64) (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))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (fma.f64 (neg.f64 a) a a) a)
(neg.f64 a)
Outputs
(*.f64 (/.f64 (+.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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64))) (/.f64 (-.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)) #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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.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)) #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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (+.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)) (pow.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 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.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 (pow.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 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.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)) (pow.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 2 binary64))) (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.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 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.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 2 binary64)) (*.f64 #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 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.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 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.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 (neg.f64 (neg.f64 (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.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)) (pow.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 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.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 2 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.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 3 binary64)) (+.f64 (+.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)) (pow.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 2 binary64)))) (*.f64 (+.f64 (+.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)) (pow.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 2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.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)) (pow.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 2 binary64))) (+.f64 (+.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)) (pow.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 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.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 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.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 2 binary64)) (-.f64 #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 (neg.f64 (-.f64 (pow.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 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.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(literal -1 binary64) (neg.f64 (/.f64 (+.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 (pow.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 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.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)) (pow.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 2 binary64))) (-.f64 (pow.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 3 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.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 2 binary64)) (-.f64 #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 (-.f64 (pow.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 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) 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))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (pow.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 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.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)) (pow.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 2 binary64))) (-.f64 (pow.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 3 binary64)) #s(literal 1 binary64))))
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(-.f64 (/.f64 (pow.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 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.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 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #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 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #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 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 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 (*.f64 (-.f64 #s(literal 1 binary64) a) a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) a) a) a)
(*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 a a))
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
(*.f64 a (*.f64 (-.f64 #s(literal 1 binary64) a) a))
(/.f64 (+.f64 (pow.f64 a #s(literal 9 binary64)) (pow.f64 a #s(literal 6 binary64))) (+.f64 (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (*.f64 a a)))))
(/.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 9 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (*.f64 (*.f64 a a) (pow.f64 (neg.f64 a) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 a a))) (neg.f64 (+.f64 (fma.f64 a a a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a)) a)) (neg.f64 (fma.f64 (neg.f64 a) a (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) a)) (neg.f64 (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 1 binary64) a)))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 a a a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a)))) (neg.f64 (fma.f64 (neg.f64 a) a (neg.f64 a))))
(/.f64 (neg.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a a)) (+.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (*.f64 a a)) (+.f64 (fma.f64 a a a) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a)) a) (fma.f64 (neg.f64 a) a (neg.f64 a)))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) a) (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (*.f64 a a))) (+.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (fma.f64 a a a) #s(literal 1 binary64)))
(/.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a))) (fma.f64 (neg.f64 a) a (neg.f64 a)))
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (+.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 a a))
(fma.f64 (*.f64 (neg.f64 a) a) a (*.f64 a a))
(fma.f64 (neg.f64 a) (neg.f64 a) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(fma.f64 (neg.f64 a) (*.f64 a a) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) (neg.f64 a) (*.f64 a a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(fma.f64 a (*.f64 (neg.f64 a) a) (*.f64 a a))
(fma.f64 a a (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(+.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 a) a)) (neg.f64 (+.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (*.f64 (neg.f64 a) a) (+.f64 #s(literal 0 binary64) a))
(neg.f64 a)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a)))
(-.f64 #s(literal 0 binary64) a)
(+.f64 #s(literal 0 binary64) (neg.f64 a))

eval47.0ms (0.6%)

Memory
19.4MiB live, 57.3MiB allocated
Compiler

Compiled 26 841 to 1 530 computations (94.3% saved)

prune37.0ms (0.5%)

Memory
-12.7MiB live, 26.1MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New38011391
Fresh000
Picked314
Done000
Total38312395
Accuracy
100.0%
Counts
395 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 1 binary64))
68.7%
(-.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))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
71.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
68.6%
(-.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))
70.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))) b)) #s(literal 1 binary64))
42.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a)))) #s(literal 1 binary64))
50.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
52.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
69.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
71.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
44.8%
#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)))
Compiler

Compiled 989 to 610 computations (38.3% saved)

simplify227.0ms (2.9%)

Memory
14.5MiB live, 129.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
cost-diff0
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
cost-diff-5504
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
(*.f64 a a)
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a)))
cost-diff0
(-.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))
cost-diff0
(*.f64 (*.f64 b b) #s(literal 12 binary64))
cost-diff0
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
cost-diff0
(fma.f64 b b #s(literal 12 binary64))
cost-diff0
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045459
065459
1127453
2283447
3687444
41783444
53116444
66731444
08162417
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(*.f64 b 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 (*.f64 a a) (*.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) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.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))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 b b)
b
(fma.f64 b b #s(literal 12 binary64))
#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 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(*.f64 b 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 (*.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))))) (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))))) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (*.f64 a a) (*.f64 a a))
(pow.f64 a #s(literal 4 binary64))
(*.f64 a a)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.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 (*.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 b b) (fma.f64 b b #s(literal 12 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 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)
(*.f64 b b)
b
(fma.f64 b b #s(literal 12 binary64))
#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 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64))
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
#s(literal 1 binary64)

localize147.0ms (1.9%)

Memory
4.3MiB live, 89.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 a #s(literal 4 binary64))
accuracy0.046875
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
accuracy0.07421875
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
accuracy25.440782379502927
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))) #s(literal 1 binary64))
accuracy0
(*.f64 b b)
accuracy0.15323757300974952
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
accuracy23.27866344664803
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
accuracy0
(-.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))
accuracy0
(*.f64 a a)
accuracy0.13738251953688402
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy31.226424494679613
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0
(*.f64 b b)
accuracy0.17667507300974952
(*.f64 (*.f64 b b) #s(literal 12 binary64))
accuracy16.189434563568433
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
accuracy23.27866344664803
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
accuracy0
(fma.f64 b b #s(literal 12 binary64))
accuracy0.02734375
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
accuracy0.13671875
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
accuracy18.016031345266928
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
Samples
61.0ms234×0valid
35.0ms1valid
7.0ms10×3valid
3.0ms2valid
Compiler

Compiled 825 to 83 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-add: 42.0ms (47.1% of total)
ival-mult: 20.0ms (22.4% of total)
ival-sub: 17.0ms (19.1% of total)
adjust: 4.0ms (4.5% of total)
ival-pow: 3.0ms (3.4% of total)
ival-pow2: 3.0ms (3.4% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-24.6MiB live, 14.1MiB allocated
Counts
21 → 58
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(*.f64 (*.f64 b b) #s(literal 12 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))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 a a)
(*.f64 (*.f64 a a) (*.f64 a a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.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))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(-.f64 a #s(literal 4 binary64))
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 a 2)
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
-4
(- 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 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
a
(* a (- 1 (* 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 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(- (+ (* 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)
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(* 12 b)
(* b (+ 12 (pow b 2)))
12
(+ 12 (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)))
(* 12 (pow b 2))
(* (pow b 2) (+ 12 (pow b 2)))
(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 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (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)))))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
a
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 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))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 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))))) (* a a) (* (* a a) (* 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) (+ (* b b) 12)) (* b 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 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- a 4))
2.0ms
b
@inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 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))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 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))))) (* a a) (* (* a a) (* 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) (+ (* b b) 12)) (* b 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 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- a 4))
2.0ms
b
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 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))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 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))))) (* a a) (* (* a a) (* 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) (+ (* b b) 12)) (* b 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 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- a 4))
2.0ms
a
@-inf
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 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))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 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))))) (* a a) (* (* a a) (* 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) (+ (* b b) 12)) (* b 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 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- a 4))
1.0ms
b
@0
((- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (+ (* (* (+ (* b b) 12) b) b) -1) (* (+ (* b b) 12) b) (+ (* b b) 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))))) (+ (* (* b b) 12) (pow b 4)) (* (* b b) 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))))) (* a a) (* (* a a) (* 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) (+ (* b b) 12)) (* b 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 4) a) 4) a) a) (* (+ (* (- a 4) a) 4) a) (- a 4))

simplify221.0ms (2.9%)

Memory
29.9MiB live, 65.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159806
1497770
21446748
35212726
08741647
Stop Event
iter limit
node limit
Counts
58 → 57
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 a 2)
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
-4
(- 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 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
a
(* a (- 1 (* 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 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(- (+ (* 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)
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(* 12 b)
(* b (+ 12 (pow b 2)))
12
(+ 12 (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)))
(* 12 (pow b 2))
(* (pow b 2) (+ 12 (pow b 2)))
(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 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (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)))))))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) b) b (fma.f64 (*.f64 (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 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 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a) a))
(pow a 2)
(*.f64 a a)
(pow a 4)
(pow.f64 a #s(literal 4 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)
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* -4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)
(* a (+ 4 (* a (- a 4))))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
-4
#s(literal -4 binary64)
(- a 4)
(-.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 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.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 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.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))))
(*.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 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)
(* (pow a 3) (- (+ 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 3 binary64)))
a
(* a (- 1 (* 4 (/ 1 a))))
(-.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)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) 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)))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(-.f64 a #s(literal 4 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.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) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.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) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 12 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* b (+ 12 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
12
#s(literal 12 binary64)
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(* 12 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 12 binary64))
(* (pow b 2) (+ 12 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(pow b 2)
(*.f64 b 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 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) 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))))
(fma.f64 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 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 (fma.f64 (*.f64 a a) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)))

rewrite288.0ms (3.7%)

Memory
-16.6MiB live, 109.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045432
065423
1308417
22447417
08156381
Stop Event
iter limit
node limit
iter limit
Counts
21 → 340
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(fma.f64 b b #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.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))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))
#s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(*.f64 (*.f64 b b) #s(literal 12 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))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 a a)
(*.f64 (*.f64 a a) (*.f64 a a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 b b) (fma.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))))) (*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(-.f64 a #s(literal 4 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
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(fma.f64 #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 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal -1 binary64))) (/.f64 #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 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 3 binary64)) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) (-.f64 #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 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 2 binary64)) (-.f64 #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 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)))
(*.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)))
(*.f64 a (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 a a))) (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64))) (*.f64 a a))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 a a)) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64))) (*.f64 a a)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64))))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(*.f64 a (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) a)) (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64))) a)) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 a (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) a) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64))) a) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal -4 binary64)))
(/.f64 (*.f64 a (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) #s(literal 4 binary64))))
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)))
(fma.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a) (*.f64 #s(literal 4 binary64) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)))
(+.f64 (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 (-.f64 a #s(literal 4 binary64)) a)))
(*.f64 (fma.f64 a a #s(literal -16 binary64)) (pow.f64 (+.f64 #s(literal 4 binary64) a) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) a) (fma.f64 a a #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a #s(literal -16 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 4 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) a)) (*.f64 (+.f64 #s(literal 4 binary64) a) #s(literal 16 binary64))) (*.f64 (+.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) a)))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64)))) (*.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))) #s(literal 64 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64)))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -16 binary64))) (neg.f64 (-.f64 a #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -16 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64)))))
(/.f64 (fma.f64 a a #s(literal -16 binary64)) (-.f64 a #s(literal -4 binary64)))
(/.f64 (fma.f64 a a #s(literal -16 binary64)) (+.f64 #s(literal 4 binary64) a))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 4 binary64) a) (fma.f64 a a #s(literal -16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) a) (fma.f64 a a #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))))
(fma.f64 #s(literal 1 binary64) a #s(literal -4 binary64))
(fma.f64 a #s(literal 1 binary64) #s(literal -4 binary64))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (-.f64 a #s(literal -4 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 64 binary64) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -4 binary64))))))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 4 binary64) a)) (/.f64 #s(literal 16 binary64) (+.f64 #s(literal 4 binary64) a)))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64)))) (/.f64 #s(literal 64 binary64) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64)))))
(-.f64 a #s(literal 4 binary64))
(+.f64 #s(literal -4 binary64) a)
(+.f64 a #s(literal -4 binary64))

eval61.0ms (0.8%)

Memory
-2.6MiB live, 71.9MiB allocated
Compiler

Compiled 27 634 to 1 579 computations (94.3% saved)

prune29.0ms (0.4%)

Memory
-4.7MiB live, 39.0MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New4218429
Fresh426
Picked235
Done011
Total42714441
Accuracy
100.0%
Counts
441 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.7%
(-.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))
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
42.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
68.6%
(-.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))
50.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
70.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))) b)) #s(literal 1 binary64))
52.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
71.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
69.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
71.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
52.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
44.8%
#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)))
52.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
27.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 016 to 632 computations (37.8% saved)

simplify312.0ms (4%)

Memory
-9.0MiB live, 186.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
cost-diff320
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
cost-diff0
(*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #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))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #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))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
cost-diff0
(*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b)
cost-diff0
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (* (* (+ (* b b) 12) b) b) -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 (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 b b #s(literal 12 binary64))
cost-diff0
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 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 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049421
069415
1128415
2284415
3742415
41913415
53254415
66886415
08318390
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 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 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b)
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
#s(literal 12 binary64)
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 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64))
#s(approx (- a 4) #s(literal -4 binary64))
#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 (-.f64 a #s(literal 4 binary64)) a) a (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a))
(*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
(*.f64 (-.f64 a #s(literal 4 binary64)) a)
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) a)
#s(literal 1 binary64)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 12 binary64))
b
#s(literal 12 binary64)
(*.f64 b b)
#s(literal -1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 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 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b)
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
#s(literal 12 binary64)
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 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64))
#s(approx (- a 4) #s(literal -4 binary64))
#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 (-.f64 a #s(literal 4 binary64)) a) a (*.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 (fma.f64 (-.f64 a #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 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a)))
(*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
(*.f64 (-.f64 a #s(literal 4 binary64)) a)
(-.f64 a #s(literal 4 binary64))
a
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) a)
#s(literal 1 binary64)

localize155.0ms (2%)

Memory
20.5MiB live, 98.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (-.f64 a #s(literal 4 binary64)) a)
accuracy0.046875
(*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)
accuracy0.05859375
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
accuracy25.440782379502927
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a))
accuracy0.046875
(*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)
accuracy0.07421875
(*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a)
accuracy25.440782379502927
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a))
accuracy28.92062660363728
#s(approx (- a 4) #s(literal -4 binary64))
accuracy0.02734375
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))
accuracy0.13671875
(*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b)
accuracy18.016031345266928
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
accuracy30.94809620746717
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
accuracy18.016031345266928
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
accuracy32.17928749032228
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))
accuracy0
(fma.f64 b b #s(literal 12 binary64))
accuracy0
(*.f64 b b)
accuracy0.0625
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
accuracy18.016031345266928
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
Samples
120.0ms234×0valid
7.0ms10×3valid
3.0ms2valid
2.0ms1valid
Compiler

Compiled 760 to 90 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow2: 40.0ms (50.1% of total)
ival-mult: 21.0ms (26.3% of total)
ival-add: 11.0ms (13.8% of total)
ival-sub: 4.0ms (5% of total)
adjust: 3.0ms (3.8% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
20 → 59
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 12 binary64))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b)
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a))
(*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)
#s(approx (- a 4) #s(literal -4 binary64))
(*.f64 (-.f64 a #s(literal 4 binary64)) 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)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
-4
(- a 4)
(* -4 a)
(* a (- a 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 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
a
(* a (- 1 (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 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 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(- (+ (* 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)
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
12
(+ 12 (pow b 2))
(pow b 2)
(* 12 b)
(* b (+ 12 (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 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 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (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)))))))
Calls

6 calls:

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

simplify266.0ms (3.4%)

Memory
6.0MiB live, 160.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0160805
1499769
21456747
35244725
08184647
Stop Event
iter limit
node limit
Counts
59 → 58
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)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* -4 a)))
(* (pow a 2) (+ 4 (* a (- a 4))))
(* 4 a)
(* a (+ 4 (* -4 a)))
(* a (+ 4 (* a (- a 4))))
-4
(- a 4)
(* -4 a)
(* a (- a 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 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
a
(* a (- 1 (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 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 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(- (+ (* 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)
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
12
(+ 12 (pow b 2))
(pow b 2)
(* 12 b)
(* b (+ 12 (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 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 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 3)
(* (pow b 3) (+ 1 (* 12 (/ 1 (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)))))))
Outputs
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) b) b (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #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)
(fma.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) #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 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 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (*.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b)))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* -4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (*.f64 a a))
(* (pow a 2) (+ 4 (* a (- a 4))))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (* -4 a)))
(*.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) a)
(* a (+ 4 (* a (- a 4))))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a)
-4
#s(literal -4 binary64)
(- a 4)
(-.f64 a #s(literal 4 binary64))
(* -4 a)
(*.f64 #s(literal -4 binary64) a)
(* a (- a 4))
(*.f64 (-.f64 a #s(literal 4 binary64)) 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 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) b) (/.f64 b a) (-.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 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 2 binary64)) (-.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))))
(*.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 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)
(* (pow a 3) (- (+ 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 3 binary64)))
a
(* a (- 1 (* 4 (/ 1 a))))
(-.f64 a #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 (-.f64 a #s(literal 4 binary64)) 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 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a)
(* -1 (* (pow a 3) (- (* -1 (/ (- (* 4 (/ 1 a)) 4) a)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(-.f64 a #s(literal 4 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #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 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #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 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 12 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
12
#s(literal 12 binary64)
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(pow b 2)
(*.f64 b b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* b (+ 12 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) b)
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)) (*.f64 b b) (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 b b) (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) (*.f64 a a)))
(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 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 a b)) (/.f64 a b) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) 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))))
(fma.f64 (fma.f64 (*.f64 a (/.f64 a b)) (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
(* (pow b 3) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (fma.f64 b b #s(literal 12 binary64)) 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)))))))
(*.f64 (fma.f64 (*.f64 a (/.f64 a b)) (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) b)) (+.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 3 binary64) a) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)))

rewrite300.0ms (3.9%)

Memory
-18.9MiB live, 264.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049393
069387
1306387
22343387
09939355
Stop Event
iter limit
node limit
iter limit
Counts
20 → 274
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 12 binary64))
(*.f64 b b)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b)
#s(approx (+ (* b b) 12) #s(literal 12 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a)
(fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a))
(*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)
#s(approx (- a 4) #s(literal -4 binary64))
(*.f64 (-.f64 a #s(literal 4 binary64)) a)
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (fma.f64 b b #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64))
(fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 b (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b))
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (pow.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 12 binary64) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)))) (neg.f64 (neg.f64 (fma.f64 b b #s(literal -12 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) #s(literal 144 binary64))) (*.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (-.f64 #s(literal 144 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 #s(literal 12 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64))) (neg.f64 (fma.f64 b b #s(literal -12 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 144 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (fma.f64 b b #s(literal -12 binary64)))
(/.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 #s(literal 144 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
(/.f64 (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b b #s(literal -12 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 144 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b))) (+.f64 #s(literal 1728 binary64) (pow.f64 b #s(literal 6 binary64)))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) #s(literal 12 binary64))
(fma.f64 b b #s(literal 12 binary64))
(-.f64 (/.f64 #s(literal 144 binary64) (-.f64 #s(literal 12 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 12 binary64) (*.f64 b b))))
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 b b #s(literal -12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 b b #s(literal -12 binary64))))
(+.f64 #s(literal 12 binary64) (*.f64 b b))
(+.f64 (*.f64 b b) #s(literal 12 binary64))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))) (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64)) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b) #s(literal -1 binary64))))))
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(/.f64 (neg.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64)))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -16 binary64)) 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 a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))))
(/.f64 (*.f64 a (fma.f64 a a #s(literal -16 binary64))) (+.f64 #s(literal 4 binary64) a))
(/.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 a a (fma.f64 #s(literal 4 binary64) a #s(literal 16 binary64))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) (*.f64 a #s(literal -4 binary64)))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (neg.f64 a) (neg.f64 a) (*.f64 a #s(literal -4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 #s(literal -4 binary64) a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (*.f64 a #s(literal -4 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) a))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (*.f64 a #s(literal -4 binary64)))
(fma.f64 a a (*.f64 #s(literal -4 binary64) a))
(fma.f64 a a (*.f64 a #s(literal -4 binary64)))
(+.f64 (*.f64 a a) (*.f64 #s(literal -4 binary64) a))
(+.f64 (*.f64 a a) (*.f64 a #s(literal -4 binary64)))

eval42.0ms (0.5%)

Memory
6.6MiB live, 88.7MiB allocated
Compiler

Compiled 21 160 to 1 320 computations (93.8% saved)

prune19.0ms (0.2%)

Memory
5.8MiB live, 44.9MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New3192321
Fresh145
Picked055
Done134
Total32114335
Accuracy
100.0%
Counts
335 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
42.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
68.6%
(-.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))
50.5%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* (- a 4) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
70.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (*.f64 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))) b)) #s(literal 1 binary64))
52.7%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* b b) 12) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #s(literal 1 binary64))
71.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (fma.f64 b b #s(literal 12 binary64)) (*.f64 b b) #s(literal -1 binary64)))
69.2%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
71.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
52.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #s(literal 12 binary64)) b) b #s(literal -1 binary64)))
52.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #s(literal 12 binary64)) #s(literal -1 binary64)))
44.8%
#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)))
42.6%
#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)))
27.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
Compiler

Compiled 1 657 to 514 computations (69% saved)

regimes40.0ms (0.5%)

Memory
-7.5MiB live, 70.7MiB allocated
Counts
26 → 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 (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.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 #s(approx (* (+ (* (- a 4) a) 4) a) (*.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))))) 1) (fma.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))))) 1) (fma.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 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 (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #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 b b) (fma.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 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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 (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.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 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))) b)) #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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.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))
#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)))
Calls

5 calls:

9.0ms
b
8.0ms
(*.f64 b b)
8.0ms
a
7.0ms
(+.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)))))
7.0ms
(-.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
99.5%3a
97.6%3b
99.5%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))
99.5%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)))))
97.6%3(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes23.0ms (0.3%)

Memory
-1.4MiB live, 41.8MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.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 #s(approx (* (+ (* (- a 4) a) 4) a) (*.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))))) 1) (fma.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))))) 1) (fma.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 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 (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #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 b b) (fma.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 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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 (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.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 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))) b)) #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))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) (fma.f64 (*.f64 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
#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)))
(-.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) (pow.f64 a #s(literal 4 binary64)))
Calls

3 calls:

7.0ms
(-.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))
7.0ms
a
7.0ms
(+.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)))))
Results
AccuracySegmentsBranch
97.9%3a
81.4%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))
81.4%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)))))
Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes8.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.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 #s(approx (* (+ (* (- a 4) a) 4) a) (*.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))))) 1) (fma.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))))) 1) (fma.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 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 (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #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 b b) (fma.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 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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 (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.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 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))) b)) #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))
Outputs
#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) (fma.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))))) 1) (pow.f64 a #s(literal 4 binary64)))
Calls

1 calls:

7.0ms
a
Results
AccuracySegmentsBranch
97.9%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-24.8MiB live, 14.4MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.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 #s(approx (* (+ (* (- a 4) a) 4) a) (*.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))))) 1) (fma.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))))) 1) (fma.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 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 (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #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 b b) (fma.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 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) 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))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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))))) 1) (fma.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #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 (fma.f64 (-.f64 a #s(literal 4 binary64)) 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 (*.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))))) (*.f64 (fma.f64 (*.f64 (-.f64 a #s(literal 4 binary64)) a) a (*.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 (fma.f64 (neg.f64 a) a a) a) #s(literal 4 binary64) (*.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 #s(approx (* (+ (* b b) (+ (* 4 a) 12)) b) (*.f64 (*.f64 b a) (+.f64 (/.f64 (fma.f64 b b #s(literal 12 binary64)) a) #s(literal 4 binary64)))) 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))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
Calls

1 calls:

7.0ms
a
Results
AccuracySegmentsBranch
97.9%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.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 #s(approx (* (+ (* (- a 4) a) 4) a) (*.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))))) 1) (fma.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))))) 1) (fma.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 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 (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (fma.f64 #s(literal -4 binary64) a #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 b b) (fma.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 (*.f64 (fma.f64 #s(approx (- a 4) #s(literal -4 binary64)) a #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 a a) (*.f64 a a))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
Calls

1 calls:

4.0ms
a
Results
AccuracySegmentsBranch
97.8%3a
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes11.0ms (0.1%)

Memory
-17.1MiB live, 22.2MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.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 #s(approx (* (+ (* (- a 4) a) 4) a) (*.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))))) 1) (fma.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))))) 1) (fma.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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))))) 1) (fma.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
Calls

3 calls:

4.0ms
b
3.0ms
a
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
82.2%2b
82.2%2(*.f64 b b)
84.4%3a
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes14.0ms (0.2%)

Memory
29.4MiB live, 29.4MiB allocated
Counts
7 → 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 (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.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 #s(approx (* (+ (* (- a 4) a) 4) a) (*.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
a
3.0ms
b
3.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
3.0ms
(-.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))
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
59.9%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))
59.9%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)))))
67.0%2b
67.0%2(*.f64 b b)
67.5%3a
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes13.0ms (0.2%)

Memory
-14.9MiB live, 24.7MiB allocated
Counts
5 → 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 (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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) (fma.f64 (*.f64 b b) #s(approx (+ (* b b) 12) #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) (fma.f64 (*.f64 #s(approx (+ (* b b) 12) #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) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))) #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 (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
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
52.7%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))
52.7%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)))))
52.7%1a
52.7%1b
52.7%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

regimes7.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -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 (+ (* (* (+ (* b b) 12) b) b) -1) #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
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
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
27.8%1a
27.8%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))
27.8%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)))))
27.8%1b
27.8%1(*.f64 b b)
Compiler

Compiled 61 to 42 computations (31.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch72.0ms (0.9%)

Memory
-35.8MiB live, 87.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
28063510339931.01
1.5578132463371107e+25
43.0ms
-2.2512525224592266e+33
-6.022298255080634e+29
Samples
52.0ms288×0valid
Compiler

Compiled 1 310 to 886 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 27.0ms (59% of total)
ival-pow2: 11.0ms (24% of total)
ival-add: 5.0ms (10.9% of total)
ival-sub: 2.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
28063510339931.01
1.5578132463371107e+25
1.0ms
-2.2512525224592266e+33
-6.022298255080634e+29
Compiler

Compiled 1 328 to 868 computations (34.6% saved)

bsearch10.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
28063510339931.01
1.5578132463371107e+25
1.0ms
-2.2512525224592266e+33
-6.022298255080634e+29
Samples
4.0ms48×0valid
Compiler

Compiled 1 440 to 916 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (31.7% of total)
ival-mult: 1.0ms (31.7% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-pow2: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
28063510339931.01
1.5578132463371107e+25
1.0ms
-2.2512525224592266e+33
-6.022298255080634e+29
Compiler

Compiled 1 400 to 886 computations (36.7% saved)

bsearch44.0ms (0.6%)

Memory
-7.1MiB live, 74.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.751369469446682e+153
5.1700913647921835e+157
21.0ms
-1.635811348120321e+165
-1.2483626753990884e+159
Samples
26.0ms272×0valid
Compiler

Compiled 1 545 to 991 computations (35.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (40.2% of total)
ival-add: 5.0ms (25.1% of total)
ival-pow2: 4.0ms (20.1% of total)
ival-sub: 2.0ms (10.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5600151874976594e+298
3.9607999534242026e+304
Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify29.0ms (0.4%)

Memory
-22.5MiB live, 56.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096905
1118905
2130905
3144905
4146905
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.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 +inf.0 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)) #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))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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))) (if (<=.f64 a #s(literal 320000000000000 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) (pow.f64 a #s(literal 4 binary64)))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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))) (if (<=.f64 a #s(literal 320000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) 1) (pow.f64 a #s(literal 4 binary64)))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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)) (if (<=.f64 a #s(literal 250000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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)) (if (<=.f64 a #s(literal 320000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -1250000000000000008160509681335283196057080268610783389806105568190063972229772642813792188748608379477042808773396973149218764706067941294523068581304785174528 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 6400000000000000296006920697868766336078481433284652063480878540881443440241897659096538872461019208447338396831340197818841452129052274984624128583008256 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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 (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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 (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))
Outputs
(if (<=.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 +inf.0 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)) #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))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b)) (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 3 binary64) a) (*.f64 b b)) (*.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 a a))) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 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))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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))) (if (<=.f64 a #s(literal 320000000000000 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) (pow.f64 a #s(literal 4 binary64)))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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))) (if (<=.f64 a #s(literal 320000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) 1) (pow.f64 a #s(literal 4 binary64)))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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)) (if (<=.f64 a #s(literal 250000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) 1) (fma.f64 (*.f64 (fma.f64 (-.f64 a #s(literal 4 binary64)) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))))
(if (<=.f64 a #s(literal -65000000000000004388725358329856 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)) (if (<=.f64 a #s(literal 320000000000000 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -1250000000000000008160509681335283196057080268610783389806105568190063972229772642813792188748608379477042808773396973149218764706067941294523068581304785174528 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 6400000000000000296006920697868766336078481433284652063480878540881443440241897659096538872461019208447338396831340197818841452129052274984624128583008256 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))))
(if (<=.f64 a #s(literal -1250000000000000008160509681335283196057080268610783389806105568190063972229772642813792188748608379477042808773396973149218764706067941294523068581304785174528 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 1 binary64)) (if (<=.f64 a #s(literal 6400000000000000296006920697868766336078481433284652063480878540881443440241897659096538872461019208447338396831340197818841452129052274984624128583008256 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1) (fma.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))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 (*.f64 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))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 19999999999999999191324069506859576476511248934787482934241830235992975340063339770801606051103490349413695756462239326290445726965992298444664286764602004918429517640538233846043054116570919372829366771827244911102627652840056310016807171258252739695211500340578533091705931571764036707602501992448 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) #s(approx (+ (* (* (+ (* (neg a) a) a) a) 4) (pow a 4)) (*.f64 #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))))) 1) #s(approx (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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 (+ (* (* (+ (* b b) 12) b) b) -1) (fma.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 (+ (* (* (+ (* b b) 12) b) b) -1) #s(literal -1 binary64)))

soundness1.4s (17.9%)

Memory
2.8MiB live, 1 000.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159806
1497770
21446748
35212726
08741647
0184908
1598859
21791824
36458810
08268722
0181754
1564731
21725707
35123682
47250682
08277625
038355
058355
1292355
22416355
09791323
0160805
1499769
21456747
35244725
08184647
045432
065423
1308417
22447417
08156381
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 275 to 398 computations (68.8% saved)

preprocess140.0ms (1.8%)

Memory
28.0MiB live, 144.6MiB allocated
Remove

(abs b)

Compiler

Compiled 2 052 to 318 computations (84.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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