Bouland and Aaronson, Equation (25)

Time bar (total: 8.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 33 to 20 computations (39.4% saved)

sample1.7s (19.7%)

Memory
47.5MiB live, 2 008.1MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 844.0ms
ival-mult: 412.0ms (48.8% of total)
ival-add: 188.0ms (22.3% of total)
ival-pow2: 132.0ms (15.6% of total)
ival-sub: 92.0ms (10.9% of total)
exact: 10.0ms (1.2% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain1.1s (12.9%)

Memory
-58.1MiB live, 613.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
400-0-(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
170-1(6.665950191191649e+186 -4.199816563746421e-158)(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
00-0-(*.f64 a a)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 b b)
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
00-0-#s(literal 4 binary64)
00-0-(+.f64 #s(literal 1 binary64) a)
00-0-#s(literal 2 binary64)
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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
00-0-b
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
00-0-(*.f64 #s(literal 3 binary64) a)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))nan-rescue400
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow66
(*.f64 b b)overflow66
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow85
+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))nan-rescue400
(*.f64 b b)overflow66
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow158
(*.f64 a a)overflow66
(+.f64 (*.f64 a a) (*.f64 b b))overflow114
(*.f64 b b)overflow66
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))overflow88
(*.f64 a a)overflow66
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))overflow85
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))overflow133
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))overflow133
Confusion
Predicted +Predicted -
+660
-0190
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-00190
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0190
152
214
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
175.0ms474×0valid
6.0ms18×2valid
5.0ms20×1valid
Compiler

Compiled 639 to 157 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 121.0ms (83.7% of total)
ival-add: 9.0ms (6.2% of total)
ival-sub: 5.0ms (3.5% of total)
ival-pow2: 5.0ms (3.5% of total)
adjust: 2.0ms (1.4% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess331.0ms (3.9%)

Memory
-0.7MiB live, 241.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047159
1171157
2671155
32845155
46808155
01931
03231
17031
218831
358731
4195531
5349131
0806226
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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
Symmetry

(abs b)

Compiler

Compiled 31 to 19 computations (38.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(-.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify370.0ms (4.3%)

Memory
6.8MiB live, 163.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019151
032151
170151
2188151
3587151
41955151
53491151
08062130
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 1 binary64) (*.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 1 binary64) (*.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 1 binary64) (*.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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(-.f64 #s(literal 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) (*.f64 a a) (fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 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 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) b) b (fma.f64 a a a)) a (*.f64 b b))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (fma.f64 a a a) a)
(+.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) a)
#s(literal 3 binary64)

localize118.0ms (1.4%)

Memory
-7.2MiB live, 68.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy3.6742896124259636
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
accuracy7.984375000000001
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
accuracy8.687471101622883
(+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))
Samples
26.0ms237×0valid
3.0ms2valid
2.0ms10×1valid
Compiler

Compiled 304 to 40 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 9.0ms (44.4% of total)
ival-add: 5.0ms (24.7% of total)
ival-pow2: 3.0ms (14.8% of total)
ival-sub: 2.0ms (9.9% of total)
adjust: 1.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
6 → 45
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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(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 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (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 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (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) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms
a
@-inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms
a
@inf
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
2.0ms
a
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))
1.0ms
b
@0
((+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* a a) (* b b)) (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))) (pow (+ (* a a) (* b b)) 2))

simplify184.0ms (2.2%)

Memory
15.2MiB live, 250.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175755
1565733
21709713
35147699
08231625
Stop Event
iter limit
node limit
Counts
45 → 45
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 a))
(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 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* -3 (* a (pow b 2)))
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (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 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 2) (- 1 (* 3 a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 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 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.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 (/.f64 #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 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) a) a) #s(literal 1 binary64)) (/.f64 #s(literal 4 binary64) a))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(fma.f64 (fma.f64 (/.f64 b (pow.f64 a #s(literal 3 binary64))) b (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* -3 (* a (pow b 2)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 b b)) a)
(* a (+ (* -3 (pow b 2)) (/ (pow b 2) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (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)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 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 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 b (fma.f64 #s(literal -3 binary64) b (/.f64 b a))) a) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(fma.f64 (*.f64 (fma.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 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) b) b (fma.f64 (*.f64 (fma.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 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 2 binary64)) a) a (pow.f64 a #s(literal 4 binary64)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) (*.f64 a a)) a) a (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) (fma.f64 a a a) (/.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)) #s(literal 4 binary64) (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)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) a) b) b) a #s(literal -3 binary64)) #s(literal 1 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)))

rewrite249.0ms (2.9%)

Memory
-12.9MiB live, 349.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01878
03078
112878
2107578
0843563
Stop Event
iter limit
node limit
iter limit
Counts
6 → 506
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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))
(*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a))
(*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a))) #s(literal 4 binary64))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #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)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal 2 binary64)) (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 2 binary64))))
(/.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))))
(fma.f64 (*.f64 (hypot.f64 b a) a) (*.f64 (hypot.f64 b a) a) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))
(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))))
(fma.f64 (*.f64 a (hypot.f64 b a)) (*.f64 a (hypot.f64 b a)) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(fma.f64 (*.f64 (hypot.f64 b a) b) (*.f64 (hypot.f64 b a) 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 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))))
(+.f64 (*.f64 (*.f64 a a) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))) (*.f64 (*.f64 b b) (pow.f64 (hypot.f64 b a) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)))
(+.f64 (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (pow.f64 (hypot.f64 b a) #s(literal 2 binary64)) (*.f64 b b)))

eval74.0ms (0.9%)

Memory
-1.3MiB live, 154.1MiB allocated
Compiler

Compiled 33 331 to 2 755 computations (91.7% saved)

prune12.0ms (0.1%)

Memory
-5.2MiB live, 34.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5396545
Fresh000
Picked101
Done000
Total5406546
Accuracy
100.0%
Counts
546 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.9%
(-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal 1 binary64))
83.4%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
52.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
67.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
Compiler

Compiled 476 to 300 computations (37% saved)

simplify197.0ms (2.3%)

Memory
-0.3MiB live, 239.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 a a a) a)
cost-diff0
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
cost-diff0
(pow.f64 a #s(literal 4 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
cost-diff0
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044555
068555
1137543
2303543
3765535
42056535
53297535
66580535
08158497
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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) 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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 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) (- 1 (* 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) (- 1 (* 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
a
#s(literal 4 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 b b (*.f64 a a)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(fma.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))
(*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(*.f64 b b)
b
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 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) (- 1 (* 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) (- 1 (* 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64)))
(*.f64 b b)
b
#s(literal 4 binary64)
(pow.f64 b #s(literal 4 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) a (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
(fma.f64 a a a)
a
#s(literal 4 binary64)
(pow.f64 a #s(literal 4 binary64))
#s(literal 1 binary64)

localize89.0ms (1%)

Memory
-2.0MiB live, 156.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy0.04296875
(*.f64 (fma.f64 a a a) a)
accuracy7.984375000000001
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
accuracy24.621983357832104
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
accuracy0
(*.f64 b b)
accuracy0.01171875
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
accuracy23.5160301104431
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 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) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
accuracy30.670150971105503
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
accuracy0
(*.f64 b b)
accuracy3.7143321633579354
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
accuracy24.502299022234958
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
accuracy0.04296875
(*.f64 (fma.f64 a a a) a)
accuracy0.08203125
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy7.984375000000001
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
accuracy29.510843621869764
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
Samples
52.0ms237×0valid
5.0ms10×1valid
4.0ms2valid
1.0ms3valid
Compiler

Compiled 1 022 to 81 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 18.0ms (42.4% of total)
ival-add: 10.0ms (23.6% of total)
ival-pow: 6.0ms (14.1% of total)
ival-pow2: 3.0ms (7.1% of total)
adjust: 2.0ms (4.7% of total)
ival-sub: 2.0ms (4.7% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
28.2MiB live, 28.2MiB allocated
Counts
19 → 64
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) (pow.f64 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* 4 (pow b 2))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
Calls

6 calls:

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

simplify166.0ms (1.9%)

Memory
-25.4MiB live, 205.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02171124
17041080
220841048
361991022
08184905
Stop Event
iter limit
node limit
Counts
64 → 64
Calls
Call 1
Inputs
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(pow b 2)
(+ (pow a 2) (pow b 2))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(* (pow b 2) (+ 4 (pow b 2)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(pow a 4)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(pow a 2)
(* (pow a 2) (+ 1 a))
(+ (* -3 (* a (pow b 2))) (pow b 2))
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* -12 (* a (pow b 2)))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (/ 1 a)))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(* (pow b 2) (+ 4 (* -12 a)))
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(* 4 (pow b 2))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- 1 (* 3 a)))
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
Outputs
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) a) a))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) a) a))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (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 -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 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 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 1 binary64))))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(fma.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) 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 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 a))
(*.f64 (fma.f64 a a a) a)
(+ (* -3 (* a (pow b 2))) (pow b 2))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(+ (* a (+ a (* -3 (pow b 2)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) a) a (*.f64 b b))
(+ (* a (+ (* -3 (pow b 2)) (* a (+ 1 a)))) (pow b 2))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #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 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 a #s(literal 4 binary64)))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.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)))
(* -12 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))
(* a (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 a #s(literal 4 binary64)))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (/ 1 a)))
(*.f64 (fma.f64 a a a) a)
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (/ 1 a))))
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) b) a) (/.f64 b a) #s(literal 1 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(* (pow a 3) (+ 1 (+ (* -3 (/ (pow b 2) (pow a 2))) (+ (/ 1 a) (/ (pow b 2) (pow a 3))))))
(*.f64 (fma.f64 (/.f64 (/.f64 b a) a) (fma.f64 #s(literal -3 binary64) b (/.f64 b a)) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* a (+ (* -1 (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (* 12 (pow b 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -3 (/ (pow b 2) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -3 binary64) #s(literal 1 binary64)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow b 2) a)) (* 3 (pow b 2))) a))) a)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) a))) a)) a) #s(literal -1 binary64)) (pow.f64 a #s(literal 3 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) b) b))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 b b))) b) b (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64)))
(+ (* 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 a a) #s(literal 2 binary64) (*.f64 b b)) b) b (pow.f64 a #s(literal 4 binary64)))
(* (pow b 2) (+ 4 (* -12 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b)
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(+ (* (pow a 2) (+ 1 a)) (* (pow b 2) (- 1 (* 3 a))))
(fma.f64 (fma.f64 #s(literal -3 binary64) (*.f64 b b) (fma.f64 a a a)) a (*.f64 b b))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 #s(literal 4 binary64) b) (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (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)))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(-.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (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))) #s(literal 1 binary64))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(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)))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 2) (- 1 (* 3 a)))
(*.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b)
(* (pow b 2) (- (+ 1 (/ (* (pow a 2) (+ 1 a)) (pow b 2))) (* 3 a)))
(*.f64 (fma.f64 a (+.f64 #s(literal -3 binary64) (/.f64 (fma.f64 a a a) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 b b))

rewrite243.0ms (2.8%)

Memory
9.1MiB live, 287.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044470
068470
1329459
22691459
08447403
Stop Event
iter limit
node limit
iter limit
Counts
19 → 446
Calls
Call 1
Inputs
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))))
(+.f64 (*.f64 a a) (*.f64 b b))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) (pow.f64 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64))))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(*.f64 (fma.f64 a a a) a)
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))
Outputs
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(/.f64 (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal 8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (neg.f64 (pow.f64 a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal 8 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (neg.f64 (pow.f64 a #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (neg.f64 (pow.f64 a #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 12 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 12 binary64))) (+.f64 (pow.f64 a #s(literal 8 binary64)) (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 12 binary64))) (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (neg.f64 (pow.f64 a #s(literal 4 binary64)))) (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (pow.f64 a #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 a #s(literal 8 binary64)) (*.f64 (*.f64 (fma.f64 a a a) a) (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))))) (fma.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 a #s(literal 12 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) a)) (*.f64 a a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (+.f64 #s(literal 1 binary64) a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) a) (fma.f64 a a a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) a (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))
(fma.f64 (fma.f64 a a a) (*.f64 #s(literal 4 binary64) a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 a a a) a) #s(literal 4 binary64) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 a (*.f64 #s(literal 4 binary64) a)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 a a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))
(fma.f64 #s(literal 4 binary64) (*.f64 (fma.f64 a a a) a) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1 binary64) a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))
(fma.f64 a (*.f64 (fma.f64 a a a) #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64)))
(fma.f64 a (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 a a a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (neg.f64 (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 a #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a (neg.f64 (pow.f64 a #s(literal 4 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a) (pow.f64 a #s(literal 4 binary64)))
(+.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 a a a)) a))
(*.f64 (fma.f64 a 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 (fma.f64 a a a))
(/.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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 a a))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a)) a)) (neg.f64 (-.f64 (*.f64 a a) a)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a)))) (neg.f64 (-.f64 (*.f64 a a) a)))
(/.f64 (neg.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 a #s(literal 6 binary64)))) (neg.f64 (*.f64 a (-.f64 a (*.f64 a a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 5 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 a a)) (*.f64 a a)) (-.f64 #s(literal 1 binary64) a))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 a a)) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a)) a) (-.f64 (*.f64 a a) a))
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) a) (fma.f64 a (-.f64 a (*.f64 a a)) (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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 a (-.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 a (-.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 a a))) (-.f64 (*.f64 a a) a))
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (-.f64 a (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 a #s(literal 6 binary64))) (*.f64 a (-.f64 a (*.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)) (pow.f64 a #s(literal 5 binary64)))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 a a))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(fma.f64 #s(literal 1 binary64) (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) a (*.f64 a a))
(fma.f64 a (*.f64 a a) (*.f64 a a))
(fma.f64 a a (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 a a))
(+.f64 (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))
#s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a))

eval71.0ms (0.8%)

Memory
26.7MiB live, 143.4MiB allocated
Compiler

Compiled 40 114 to 2 106 computations (94.7% saved)

prune23.0ms (0.3%)

Memory
-0.5MiB live, 75.8MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New54811559
Fresh101
Picked325
Done000
Total55213565
Accuracy
100.0%
Counts
565 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
71.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
67.2%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (pow.f64 a #s(literal 4 binary64))) #s(literal 1 binary64))
68.0%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
67.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
43.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
51.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 a a) #s(literal 4 binary64)))) #s(literal 1 binary64))
51.6%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
68.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
80.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
Compiler

Compiled 1 083 to 658 computations (39.2% saved)

simplify267.0ms (3.1%)

Memory
-1.2MiB live, 152.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056590
084582
1171574
2350570
3958570
43410561
55414561
08392520
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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(*.f64 a a)
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 1 binary64)
(*.f64 b b)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(*.f64 a a)
#s(literal 2 binary64)
(*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))
#s(literal -3 binary64)
#s(literal 1 binary64)
(*.f64 b b)
b
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(*.f64 b b)
b
#s(literal 4 binary64)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
b
#s(literal 4 binary64)
(*.f64 b b)
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64))
#s(literal 4 binary64)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
#s(literal 1 binary64)

localize214.0ms (2.5%)

Memory
-23.0MiB live, 146.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 4 binary64) a)
accuracy0.0390625
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
accuracy0.046875
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
accuracy24.621983357832104
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
accuracy0.0078125
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
accuracy0.04296875
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)
accuracy19.80205976427097
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
accuracy24.621983357832104
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
accuracy0
(fma.f64 b b #s(literal 4 binary64))
accuracy0
(*.f64 b b)
accuracy0.05859375
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
accuracy18.019777171878356
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
accuracy0
(*.f64 b b)
accuracy0.00390625
(*.f64 (*.f64 b b) #s(literal 4 binary64))
accuracy15.832862898493252
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
accuracy23.5160301104431
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
accuracy0.015625
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
accuracy0.0390625
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
accuracy5.351494684534293
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))
accuracy8.787841616862762
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
Samples
162.0ms237×0valid
7.0ms2valid
6.0ms10×1valid
Compiler

Compiled 1 053 to 110 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 79.0ms (70.8% of total)
ival-add: 17.0ms (15.2% of total)
ival-pow: 6.0ms (5.4% of total)
adjust: 3.0ms (2.7% of total)
ival-pow2: 3.0ms (2.7% of total)
ival-sub: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
23 → 75
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (fma.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(+.f64 #s(literal 4 binary64) a)
Outputs
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(+ 4 a)
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* -12 a)
(* a (- (* 4 (/ 1 a)) 12))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
-1
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+ 4 (pow b 2))
(pow b 2)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@0
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (* (+ (* 4 a) 4) a) (+ 4 a))
3.0ms
b
@inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (* (+ (* 4 a) 4) a) (+ 4 a))
3.0ms
a
@-inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (* (+ (* 4 a) 4) a) (+ 4 a))
2.0ms
b
@-inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (* (+ (* 4 a) 4) a) (+ 4 a))
2.0ms
a
@inf
((+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* 4 (+ (* -3 a) 1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* b b) 4) (pow b 4)) (* (* b b) 4) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (* (+ (* b b) 4) (* b b)) -1) (+ (* b b) 4) (* b b) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (* (* (+ (* 4 a) 4) a) a) (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (* (* (+ (* (+ 4 a) a) 4) a) a) (* (+ (* (+ 4 a) a) 4) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (* (+ (* 4 a) 4) a) (+ 4 a))

simplify222.0ms (2.6%)

Memory
-17.3MiB live, 149.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111187
16951121
220971027
363171009
08341890
Stop Event
iter limit
node limit
Counts
75 → 74
Calls
Call 1
Inputs
4
(+ 4 (* -12 a))
(+ 4 (* a (- (* 2 a) 12)))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(- (* 4 (pow b 2)) 1)
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(+ 4 a)
(* 2 (pow a 2))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(* -12 a)
(* a (- (* 4 (/ 1 a)) 12))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 4 (pow a 3))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* 2 (* (pow a 2) (pow b 2)))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
a
(* a (+ 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
-1
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(+ 4 (pow b 2))
(pow b 2)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
Outputs
4
#s(literal 4 binary64)
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(+ 4 (* a (- (* 2 a) 12)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (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 -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(-.f64 (fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* 4 (pow b 2))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2))))))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) #s(literal 1 binary64))
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a))))))) 1)
(-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 a a) #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #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 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (+ 4 a))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(- (+ (* 4 (pow b 2)) (* a (+ (* -12 (pow b 2)) (* 2 (* a (pow b 2)))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(+ 4 a)
(+.f64 #s(literal 4 binary64) a)
(* 2 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 2 binary64))
(* (pow a 2) (- 2 (* 12 (/ 1 a))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) a) a)
(* (pow a 2) (- (+ 2 (/ 4 (pow a 2))) (* 12 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* -12 a)
(*.f64 #s(literal -12 binary64) a)
(* a (- (* 4 (/ 1 a)) 12))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #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 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 a a)) b (-.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 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) 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 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.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)))
(* 4 (pow a 3))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow a 3) (+ 4 (* 4 (/ 1 a))))
(*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))
(pow a 3)
(pow.f64 a #s(literal 3 binary64))
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a)
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(* 2 (* (pow a 2) (pow b 2)))
(*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))
(* (pow a 2) (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a))) a) a)
(* (pow a 2) (- (+ (* -12 (/ (pow b 2) a)) (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) (pow a 2))))) (/ 1 (pow a 2))))
(fma.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 #s(literal 4 binary64) a)) a))) (*.f64 a a) #s(literal -1 binary64))
(* (pow a 2) (+ 4 (* 4 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
a
(* a (+ 1 (* 4 (/ 1 a))))
(+.f64 #s(literal 4 binary64) a)
(* (pow a 2) (+ 2 (* -1 (/ (- 12 (* 4 (/ 1 a))) a))))
(*.f64 (fma.f64 #s(literal 2 binary64) a (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) a)) a)
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 12 binary64) a)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 4 (pow b 2)) 1) a)) (* 12 (pow b 2))) a)) (* 2 (pow b 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) b (/.f64 (fma.f64 (*.f64 b b) #s(literal -12 binary64) (/.f64 (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)) a)) a)) a) a)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(- (* (pow a 2) (+ 4 (* a (+ 4 a)))) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))
(- (+ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))) 1)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (fma.f64 b b (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64))) (*.f64 b b) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
-1
#s(literal -1 binary64)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(pow b 2)
(*.f64 b b)
(- (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (+ 1 a)) (pow b 4))) (+ (* 4 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a 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))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) b) b)
(* (pow b 2) (- (+ (* 2 (pow a 2)) (+ (* 4 (+ 1 (* -3 a))) (/ (* (pow a 2) (+ 4 (* a (+ 4 a)))) (pow b 2)))) (/ 1 (pow b 2))))
(fma.f64 (fma.f64 a (fma.f64 a (+.f64 (/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) b) b) #s(literal 2 binary64)) #s(literal -12 binary64)) #s(literal 4 binary64)) (*.f64 b b) #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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 a 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))) (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b))) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 2) (+ 1 (* 4 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 4 binary64))
(* (pow b 2) (- (+ (* 2 (pow a 2)) (* 4 (+ 1 (* -3 a)))) (/ 1 (pow b 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))

rewrite192.0ms (2.2%)

Memory
19.7MiB live, 101.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056531
084523
1415512
23467512
08698464
Stop Event
iter limit
node limit
iter limit
Counts
23 → 324
Calls
Call 1
Inputs
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64))))
(*.f64 #s(literal 4 binary64) (fma.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64))))
#s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 b b #s(literal 4 binary64))
(*.f64 b b)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a)))
#s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(+.f64 #s(literal 4 binary64) a)
Outputs
(*.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 3 binary64)))))
(fma.f64 #s(literal -12 binary64) a (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 4 binary64) a) #s(literal -3 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 4 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 4 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (*.f64 #s(literal -3 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 a a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 a #s(literal -12 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(fma.f64 a (*.f64 #s(literal 2 binary64) a) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (*.f64 #s(literal -12 binary64) a)) #s(literal 4 binary64))
(+.f64 (*.f64 #s(literal -12 binary64) a) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(+.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 (*.f64 a a) #s(literal 2 binary64)))
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(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) (*.f64 a a))
(*.f64 (*.f64 a a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))
(*.f64 a (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 a a)) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 3 binary64))) (*.f64 a a)) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 4 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(*.f64 a (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) a) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 3 binary64))) a) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 4 binary64))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64))) (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal -4 binary64)))
(/.f64 (*.f64 a (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 2 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) #s(literal 4 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a (*.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a)))
(fma.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a) (*.f64 #s(literal 4 binary64) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a)) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 (+.f64 #s(literal 4 binary64) a) a) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 (+.f64 #s(literal 4 binary64) a) a)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 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 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 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 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 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 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 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 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 (*.f64 b b) #s(literal -1 binary64))))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) b #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 b (*.f64 b (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) a) a (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))))
(*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a)
(*.f64 a (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 a #s(literal 16 binary64)) a #s(literal -16 binary64)) a) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) a) (fma.f64 (*.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal 16 binary64)))))
(/.f64 (*.f64 a (fma.f64 (*.f64 a #s(literal 16 binary64)) a #s(literal -16 binary64))) (fma.f64 #s(literal 4 binary64) a #s(literal -4 binary64)))
(/.f64 (*.f64 a (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 a #s(literal 16 binary64)) a (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal 16 binary64)))))
(fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 #s(literal 4 binary64) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 (*.f64 #s(literal 4 binary64) a) a))
(fma.f64 #s(literal 4 binary64) a (*.f64 a (*.f64 #s(literal 4 binary64) a)))
(fma.f64 a (*.f64 #s(literal 4 binary64) a) (*.f64 #s(literal 4 binary64) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 4 binary64) a) a))
(fma.f64 a #s(literal 4 binary64) (*.f64 a (*.f64 #s(literal 4 binary64) a)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) a) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 a (*.f64 #s(literal 4 binary64) a)) (*.f64 #s(literal 4 binary64) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 #s(literal 4 binary64) a) a))
(+.f64 (*.f64 #s(literal 4 binary64) a) (*.f64 a (*.f64 #s(literal 4 binary64) a)))
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) (pow.f64 (-.f64 #s(literal 4 binary64) a) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal 4 binary64) a) (-.f64 #s(literal 16 binary64) (*.f64 a a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 a a) #s(literal 16 binary64)) (-.f64 a #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a))) (neg.f64 (-.f64 #s(literal 4 binary64) a)))
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal 16 binary64))))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 a a)) (-.f64 #s(literal 4 binary64) a))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 4 binary64) a))))
(/.f64 (+.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) a) (-.f64 #s(literal 16 binary64) (*.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a #s(literal 4 binary64)) #s(literal 16 binary64)) (+.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 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 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) a)) (/.f64 (*.f64 a a) (-.f64 #s(literal 4 binary64) a)))
(+.f64 #s(literal 4 binary64) a)
(+.f64 a #s(literal 4 binary64))

eval128.0ms (1.5%)

Memory
1.1MiB live, 74.5MiB allocated
Compiler

Compiled 31 814 to 1 747 computations (94.5% saved)

prune56.0ms (0.7%)

Memory
-13.5MiB live, 69.0MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New4289437
Fresh336
Picked415
Done202
Total43713450
Accuracy
100.0%
Counts
450 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.8%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
67.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
51.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
43.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
62.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
68.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
71.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
48.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
44.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
24.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
51.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Compiler

Compiled 1 164 to 699 computations (39.9% saved)

simplify203.0ms (2.4%)

Memory
7.5MiB live, 232.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
cost-diff0
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
cost-diff0
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #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) (- 1 (* 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
cost-diff0
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a))
cost-diff0
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
cost-diff0
(pow.f64 b #s(literal 3 binary64))
cost-diff0
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b))))
cost-diff0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
cost-diff6464
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050461
070458
1141452
2294446
3768438
42361438
53972438
08602395
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) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a))
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a a)
a
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
b
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b))))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(pow.f64 b #s(literal 3 binary64))
b
#s(literal 3 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 b b))
#s(literal 4 binary64)
(*.f64 b b)
#s(literal 1 binary64)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a))
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
#s(literal 1 binary64)
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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)
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
b
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
#s(literal -12 binary64)
a
#s(literal 4 binary64)
#s(literal -1 binary64)

localize134.0ms (1.6%)

Memory
-9.5MiB live, 126.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
accuracy0.03515625
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64))
accuracy0.0859375
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
accuracy18.908295485050022
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
accuracy0
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
accuracy0
(*.f64 a a)
accuracy0.10546875
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy30.670150971105503
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
accuracy0
(*.f64 #s(literal 4 binary64) a)
accuracy0.046875
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)
accuracy24.621983357832104
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a))
accuracy30.58636669052779
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a))
accuracy18.019777171878356
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
accuracy33.488691770938864
#s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64))
accuracy0
(*.f64 b b)
accuracy0.00390625
(*.f64 #s(literal 4 binary64) (*.f64 b b))
accuracy0.015625
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))
accuracy23.5160301104431
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b))))
Samples
100.0ms237×0valid
5.0ms10×1valid
4.0ms2valid
2.0ms3valid
Compiler

Compiled 826 to 96 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-pow: 40.0ms (43.2% of total)
ival-mult: 29.0ms (31.3% of total)
ival-add: 14.0ms (15.1% of total)
adjust: 3.0ms (3.2% of total)
ival-pow2: 3.0ms (3.2% of total)
ival-sub: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
22 → 72
Calls
Call 1
Inputs
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(pow.f64 b #s(literal 3 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a))
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 a a)
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) a)
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(pow a 2)
(pow a 4)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
4
(+ 4 (* -12 a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* -12 (* a (pow b 2)))
(* a (- (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (/ 1 a)))
(* -12 (* a b))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (* 4 (/ 1 a)) 12))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* a (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 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 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow b 3)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (* -12 a))) 1)
(- (* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) 1)
(* b (+ 4 (* -12 a)))
(* b (+ 4 (+ (* -12 a) (pow b 2))))
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1)))
Calls

6 calls:

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

simplify169.0ms (2%)

Memory
-5.2MiB live, 184.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031100
16861057
220921030
357951000
08400887
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(+ (* 4 (pow b 2)) (pow b 4))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (* 4 a)))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(* 4 a)
(* a (+ 4 (* 4 a)))
(* a (+ 4 (* a (+ 4 a))))
(pow a 2)
(pow a 4)
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(* b (+ 4 (pow b 2)))
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(+ 4 (pow b 2))
(+ 4 (+ (* -12 a) (pow b 2)))
4
(+ 4 (* -12 a))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2))))))
(* (pow a 4) (+ 1 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(* (pow a 4) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 a))))
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(* -12 (* a (pow b 2)))
(* a (- (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (/ 1 a)))
(* -12 (* a b))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(* -12 a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(* a (- (* 4 (/ 1 a)) 12))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) a))))
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) a)) 1)))
(* -1 (* a (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2)))))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(* 4 (pow b 2))
(* (pow b 2) (+ 4 (pow b 2)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 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 (- 1 (* 3 a))))) (pow a 4)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(pow b 3)
-1
(- (* 4 (pow b 2)) 1)
(- (* (pow b 2) (+ 4 (* -12 a))) 1)
(- (* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) 1)
(* b (+ 4 (* -12 a)))
(* b (+ 4 (+ (* -12 a) (pow b 2))))
(pow b 2)
(pow b 4)
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 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 (/ (- 1 (* 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 (/ (- 1 (* 3 a)) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1)))
Outputs
(- (+ (* 4 (pow b 2)) (pow b 4)) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(- (+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) (fma.f64 (*.f64 a a) (fma.f64 #s(literal 4 binary64) a (fma.f64 (*.f64 b b) #s(literal 2 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (* 4 (pow b 2)) (pow b 4))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(+ (* -12 (* a (pow b 2))) (+ (* 4 (pow b 2)) (pow b 4)))
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (fma.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) a #s(literal -12 binary64)) (*.f64 #s(literal 4 binary64) a)) a (pow.f64 b #s(literal 4 binary64))))
(+ (* 4 (pow b 2)) (+ (* a (+ (* -12 (pow b 2)) (* a (+ 4 (+ (* 2 (pow b 2)) (* 4 a)))))) (pow b 4)))
(fma.f64 (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 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))))
(* 4 (pow a 2))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* 4 a)))
(*.f64 (fma.f64 a a (pow.f64 a #s(literal 3 binary64))) #s(literal 4 binary64))
(* (pow a 2) (+ 4 (* a (+ 4 a))))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (+ 4 a))))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a)
(pow a 2)
(*.f64 a a)
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
(- (* (pow b 2) (+ 4 (pow b 2))) 1)
(fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (+ (* -12 (* a (pow b 2))) (* (pow b 2) (+ 4 (pow b 2)))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 4 (pow b 2)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) b)
(+ (* -12 (* a b)) (* b (+ 4 (pow b 2))))
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(+ 4 (pow b 2))
(fma.f64 b b #s(literal 4 binary64))
(+ 4 (+ (* -12 a) (pow b 2)))
(fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* -12 a))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(* (pow a 4) (+ 1 (* 4 (/ 1 a))))
(*.f64 (+.f64 (/.f64 #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 (/ 1 a)) (/ 4 (pow a 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) b) a) (/.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 (+ (* -12 (/ (pow b 2) (pow a 3))) (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 b a) a) b) (+.f64 (/.f64 #s(literal -12 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 (/ 1 a)) (/ 4 (pow a 2)))))
(*.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 #s(literal 4 binary64) a) a) a)
(* (pow a 3) (+ 1 (+ (* 4 (/ 1 a)) (/ 4 (pow a 2)))))
(*.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)))
(* -12 (* a (pow b 2)))
(*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))
(* a (- (+ (* -12 (pow b 2)) (/ (* (pow b 2) (+ 4 (pow b 2))) a)) (/ 1 a)))
(fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a #s(literal -1 binary64))
(* -12 (* a b))
(*.f64 (*.f64 a b) #s(literal -12 binary64))
(* a (+ (* -12 b) (/ (* b (+ 4 (pow b 2))) a)))
(*.f64 b (fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))))
(* -12 a)
(*.f64 #s(literal -12 binary64) a)
(* a (- (+ (* 4 (/ 1 a)) (/ (pow b 2) a)) 12))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b b #s(literal 4 binary64)) #s(literal -12 binary64)) a)
(* a (- (* 4 (/ 1 a)) 12))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)
(* (pow a 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 2 (pow b 2))) a)) 4) 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 (/ (- (* -1 (/ (+ 4 (+ (* -12 (/ (pow b 2) a)) (* 2 (pow b 2)))) a)) 4) a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 #s(literal -12 binary64) a) #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)) (pow.f64 a #s(literal 4 binary64)))
(* -1 (* (pow a 3) (- (* -1 (/ (+ 4 (* 4 (/ 1 a))) 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 (+ (* -1 (/ (- (* (pow b 2) (+ 4 (pow b 2))) 1) a)) (* 12 (pow b 2)))))
(fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a #s(literal -1 binary64))
(* -1 (* a (+ (* -1 (/ (* b (+ 4 (pow b 2))) a)) (* 12 b))))
(*.f64 b (fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64))))
(* -1 (* a (+ 12 (* -1 (/ (+ 4 (pow b 2)) a)))))
(fma.f64 #s(literal -12 binary64) a (*.f64 (fma.f64 b b #s(literal 4 binary64)) #s(literal 1 binary64)))
(* -1 (* a (- 12 (* 4 (/ 1 a)))))
(*.f64 (-.f64 (/.f64 #s(literal 4 binary64) a) #s(literal 12 binary64)) a)
(* 4 (pow b 2))
(*.f64 (*.f64 b b) #s(literal 4 binary64))
(* (pow b 2) (+ 4 (pow b 2)))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(- (+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (- 1 (* 3 a))))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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 (- 1 (* 3 a))) (pow b 2)))) (pow a 4))) 1)
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
(+ (* 4 (* (pow a 2) (+ 1 a))) (pow a 4))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (- 1 (* 3 a))))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(+ (* 4 (* (pow a 2) (+ 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (- 1 (* 3 a))) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 b b))) b) b (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a))
(pow b 3)
(pow.f64 b #s(literal 3 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow b 2)) 1)
(fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (* -12 a))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 4 (+ (* -12 a) (pow b 2)))) 1)
(fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64))
(* b (+ 4 (* -12 a)))
(*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b)
(* b (+ 4 (+ (* -12 a) (pow b 2))))
(*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) b)
(pow b 2)
(*.f64 b b)
(pow b 4)
(pow.f64 b #s(literal 4 binary64))
(* (pow b 4) (+ 1 (* 4 (/ 1 (pow b 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (- 1 (* 3 a)) (pow b 2))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) b) (/.f64 a b) (fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) 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 (/ (- 1 (* 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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) 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 (/ (- 1 (* 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 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) (/.f64 #s(literal 4 binary64) b) #s(literal 1 binary64)))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (* 4 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64)) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 4) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)))
(* (pow b 4) (- (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))) (/ 1 (pow b 4))))
(fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow b 3) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 b b)) #s(literal 1 binary64))) (pow.f64 b #s(literal 3 binary64)))
(* (pow b 2) (+ 1 (+ (* -12 (/ a (pow b 2))) (* 4 (/ 1 (pow b 2))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 b b))) b b) b)
(* -1 (* (pow b 3) (- (* -1 (/ (+ 4 (* -12 a)) (pow b 2))) 1)))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)) b) b) #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64)))

rewrite204.0ms (2.4%)

Memory
-15.5MiB live, 231.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050446
070437
1336431
22741431
08372372
Stop Event
iter limit
node limit
iter limit
Counts
22 → 296
Calls
Call 1
Inputs
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
#s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b))))
(pow.f64 b #s(literal 3 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a))
(*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)
#s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a)))
(*.f64 a a)
(*.f64 (*.f64 a a) (*.f64 a a))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64))
(*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b)
(fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 b b))
(*.f64 b b)
(*.f64 #s(literal 4 binary64) a)
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)
(*.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 4 binary64)))
(*.f64 b (+.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) b)))
(*.f64 b (fma.f64 #s(literal 4 binary64) b (pow.f64 b #s(literal 3 binary64))))
(*.f64 b (*.f64 (fma.f64 b b #s(literal 4 binary64)) b))
(pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 b b #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 b b))) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)))) (neg.f64 (fma.f64 b b #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) b) b) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))) (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))))
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 b b)) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64)) (*.f64 b b)) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64))) (fma.f64 b b #s(literal -4 binary64)))
(/.f64 (*.f64 (*.f64 b b) (+.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64))) (-.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))
(/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) b) b) (pow.f64 b #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64)))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b)) (-.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (*.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))) (fma.f64 (pow.f64 b #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 12 binary64)))))
(fma.f64 (*.f64 b (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))
(fma.f64 (*.f64 #s(literal 4 binary64) b) b (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 5/2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))
(fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) b) b))
(fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 b b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 (*.f64 #s(literal 4 binary64) b) b))
(fma.f64 b (*.f64 #s(literal 4 binary64) b) (pow.f64 b #s(literal 4 binary64)))
(fma.f64 b (pow.f64 b #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))
(-.f64 (/.f64 (pow.f64 b #s(literal 8 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 b #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))))
(+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) b) b))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) b) b) (pow.f64 b #s(literal 4 binary64)))
(*.f64 (-.f64 (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 1 binary64)) (pow.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(*.f64 #s(literal 4 binary64) a)
(*.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 144 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 144 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64))) (*.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal 16 binary64))) (pow.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 144 binary64) (*.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a)))
(/.f64 (neg.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64))) (neg.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal 144 binary64) (*.f64 a a)) (*.f64 a #s(literal -48 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))) (neg.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64))))))
(/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)) (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)))
(/.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal 144 binary64) (*.f64 a a)) (*.f64 a #s(literal -48 binary64)))))
(/.f64 (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64)) (fma.f64 #s(literal 144 binary64) (*.f64 a a) #s(literal -16 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 144 binary64) (*.f64 a a) (-.f64 #s(literal 16 binary64) (*.f64 a #s(literal -48 binary64)))) (fma.f64 #s(literal -1728 binary64) (pow.f64 a #s(literal 3 binary64)) #s(literal 64 binary64))))
(fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))
(fma.f64 a #s(literal -12 binary64) #s(literal 4 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 144 binary64) (*.f64 a a)) (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -12 binary64) a #s(literal -4 binary64))))
(+.f64 (*.f64 #s(literal -12 binary64) a) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal -12 binary64) a))

eval47.0ms (0.5%)

Memory
23.6MiB live, 99.4MiB allocated
Compiler

Compiled 24 033 to 1 455 computations (93.9% saved)

prune30.0ms (0.3%)

Memory
-18.6MiB live, 65.5MiB allocated
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New3656371
Fresh347
Picked145
Done011
Total36915384
Accuracy
100.0%
Counts
384 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
67.1%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 1 binary64))
51.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) a) 4) a) (*.f64 #s(literal 4 binary64) a)) a)) #s(literal 1 binary64))
43.3%
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 4 binary64)) a) a))) #s(literal 1 binary64))
62.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
68.0%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
70.4%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
71.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
39.8%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
48.5%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 b #s(literal 4 binary64)))
44.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (pow.f64 a #s(literal 4 binary64)))
51.6%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
24.1%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
66.7%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a #s(literal -1 binary64))))
19.9%
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
Compiler

Compiled 2 233 to 633 computations (71.7% saved)

regimes88.0ms (1%)

Memory
7.3MiB live, 84.4MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 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) (- 1 (* 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
(-.f64 (fma.f64 (pow.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 a b) (-.f64 a b)) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)) b) b (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64))) #s(literal 1 binary64))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
Calls

5 calls:

49.0ms
b
10.0ms
(*.f64 b b)
10.0ms
a
9.0ms
(+.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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
8.0ms
(-.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
99.0%2a
97.3%3b
99.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
97.3%3(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes55.0ms (0.6%)

Memory
-0.1MiB live, 45.7MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 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) (- 1 (* 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64))
Calls

3 calls:

36.0ms
(-.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
9.0ms
a
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Results
AccuracySegmentsBranch
99.0%2a
99.0%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
99.0%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes30.0ms (0.4%)

Memory
12.2MiB live, 49.3MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a (fma.f64 (fma.f64 (*.f64 a a) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal -3 binary64) a #s(literal 1 binary64)))) (*.f64 b b) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 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) (- 1 (* 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) (- 1 (* 3 a)))))) (fma.f64 (*.f64 b b) #s(literal 4 binary64) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) b (*.f64 #s(literal 4 binary64) (*.f64 b b)))) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (fma.f64 (*.f64 (fma.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))
Calls

3 calls:

12.0ms
a
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
8.0ms
(-.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
87.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
87.9%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
98.9%3a
Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes24.0ms (0.3%)

Memory
-1.4MiB live, 36.1MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a)) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal -12 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) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (fma.f64 #s(literal -12 binary64) a (fma.f64 b b #s(literal 4 binary64))) (*.f64 b b))) #s(literal 1 binary64))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (fma.f64 (*.f64 (-.f64 (/.f64 (fma.f64 b b #s(literal 4 binary64)) a) #s(literal 12 binary64)) (*.f64 b b)) a #s(literal -1 binary64))))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

3 calls:

10.0ms
a
7.0ms
b
6.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
95.4%2b
95.4%2(*.f64 b b)
95.5%3a
Compiler

Compiled 5 to 7 computations (-40% saved)

regimes11.0ms (0.1%)

Memory
-13.7MiB live, 23.7MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* a a) a) a) 4) (pow a 4)) (*.f64 (*.f64 (fma.f64 #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) (- 1 (* 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
(*.f64 b b)
5.0ms
b
Results
AccuracySegmentsBranch
94.6%2b
94.6%2(*.f64 b b)
Compiler

Compiled 4 to 5 computations (-25% saved)

regimes22.0ms (0.3%)

Memory
-15.0MiB live, 32.6MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(approx (+ (* -12 a) 4) #s(literal 4 binary64))) b) b #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (fma.f64 b b #s(literal 4 binary64)) (*.f64 b b) #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64)))
Calls

5 calls:

6.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
4.0ms
b
4.0ms
a
4.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
71.8%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
71.8%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
85.8%3a
84.4%2b
84.4%2(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes16.0ms (0.2%)

Memory
23.4MiB live, 23.4MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) (*.f64 #s(approx (* (+ (* (+ 4 a) 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* b b) (+ (* -12 a) 4)) b) b) -1) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -12 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 #s(approx (+ (* b b) (+ (* -12 a) 4)) (*.f64 #s(literal -12 binary64) a)) b) b #s(literal -1 binary64)))
Outputs
(-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
b
3.0ms
a
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 1 binary64) (*.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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
3.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
58.3%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
58.3%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
69.6%3a
69.6%2b
69.6%2(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes11.0ms (0.1%)

Memory
-18.9MiB live, 20.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) (fma.f64 (*.f64 b 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) (- 1 (* 3 a)))))) #s(approx (+ (* (* b b) 4) (pow b 4)) (*.f64 (*.f64 b b) #s(literal 4 binary64)))) #s(literal 1 binary64))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
Calls

5 calls:

3.0ms
b
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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
2.0ms
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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
51.6%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
51.6%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
51.6%1a
51.6%1b
51.6%1(*.f64 b b)
Compiler

Compiled 65 to 44 computations (32.3% saved)

regimes7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))
Outputs
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* 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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (+.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
1.0ms
a
1.0ms
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
24.1%1b
24.1%1(*.f64 b b)
24.1%1a
24.1%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 1 binary64) (*.f64 #s(literal 3 binary64) a)))))) #s(literal 1 binary64))
24.1%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 1 binary64) (*.f64 #s(literal 3 binary64) a))))))
Compiler

Compiled 65 to 44 computations (32.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch19.0ms (0.2%)

Memory
-11.5MiB live, 27.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
-1.9667892965402855e+64
-8.521573858256759e+61
Samples
11.0ms112×0valid
Compiler

Compiled 797 to 492 computations (38.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.2% of total)
ival-add: 2.0ms (25.1% of total)
ival-sub: 1.0ms (12.5% of total)
ival-pow2: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch49.0ms (0.6%)

Memory
-5.1MiB live, 74.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
0.0001016090848189212
3392.5852402349187
22.0ms
-196996.21969279763
-5.7364516875829296e-5
Samples
29.0ms288×0valid
Compiler

Compiled 2 086 to 1 265 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 10.0ms (46.3% of total)
ival-add: 5.0ms (23.2% of total)
ival-pow2: 4.0ms (18.5% of total)
ival-sub: 2.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.845136164500872e-15
0.21363033501586004
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.845136164500872e-15
0.21363033501586004
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.845136164500872e-15
0.21363033501586004
Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.7668542661030135e+282
3.077291975017265e+286
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify30.0ms (0.4%)

Memory
10.4MiB live, 49.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115956
1149956
2166956
3184956
4188956
5189956
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 1 binary64) (*.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 1 binary64) (*.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1050000000000000088154013639817748035082138237064099078630014976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -64 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) (if (<=.f64 a #s(literal 450 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* 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 1 binary64) (*.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 1 binary64) (*.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.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 1 binary64) (*.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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))))
(if (<=.f64 a #s(literal -1050000000000000088154013639817748035082138237064099078630014976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -1050000000000000088154013639817748035082138237064099078630014976 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) (-.f64 (+.f64 (*.f64 #s(approx (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))) (*.f64 (fma.f64 a a a) a)) #s(literal 4 binary64)) (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 a #s(literal -64 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64))))) (if (<=.f64 a #s(literal 450 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) (*.f64 (*.f64 (fma.f64 b b (fma.f64 #s(literal -12 binary64) a #s(literal 4 binary64))) b) b)) #s(literal 1 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(approx (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1) (*.f64 (*.f64 (*.f64 (*.f64 b b) a) a) #s(literal 2 binary64)))))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) a) a #s(literal 4 binary64)) a) a #s(literal -1 binary64))) #s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) (fma.f64 (*.f64 (fma.f64 b b #s(literal 4 binary64)) b) b #s(literal -1 binary64))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (-.f64 #s(approx (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) #s(approx (+ (* (* (+ (* 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) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64)))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (* (+ (* (+ 4 a) a) 4) a) a) (+ (* (+ (* (* a a) 2) (* 4 (+ (* -3 a) 1))) (* b b)) -1)) (fma.f64 (*.f64 b b) #s(literal 4 binary64) #s(literal -1 binary64))))
#s(approx (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))) 1) #s(approx (+ (* (+ (* b b) 4) (* b b)) -1) #s(literal -1 binary64)))

soundness1.3s (15%)

Memory
-21.9MiB live, 824.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111187
16951121
220971027
363171009
08341890
0175755
1565733
21709713
35147699
08231625
02171124
17041080
220841048
361991022
08184905
044470
068470
1329459
22691459
08447403
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 367 to 423 computations (69.1% saved)

preprocess75.0ms (0.9%)

Memory
29.9MiB live, 110.0MiB allocated
Remove

(abs b)

Compiler

Compiled 2 242 to 392 computations (82.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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