Bouland and Aaronson, Equation (24)

Time bar (total: 9.2s)

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 31 to 19 computations (38.7% saved)

sample1.1s (11.5%)

Memory
-6.4MiB live, 1 657.8MiB allocated
Samples
791.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 590.0ms
ival-mult: 275.0ms (46.6% of total)
ival-add: 136.0ms (23% of total)
ival-pow2: 82.0ms (13.9% of total)
ival-sub: 79.0ms (13.4% of total)
exact: 10.0ms (1.7% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess584.0ms (6.3%)

Memory
21.7MiB live, 698.5MiB allocated
Algorithm
egg-herbie
Rules
26 512×accelerator-lowering-fma.f32
26 512×accelerator-lowering-fma.f64
4 188×+-lowering-+.f64
4 188×+-lowering-+.f32
3 330×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051178
1175176
2699174
33005174
46924174
01829
15129
216729
353329
4153829
5282529
6668329
0807526
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
Call 2
Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (- 1 (neg a))) (* (* b b) (+ 3 (neg a)))))) 1)
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (neg b) (neg b)) (+ 3 a))))) 1)
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (- 1 (neg a))) (* (* b b) (+ 3 (neg a)))))) 1))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (neg b) (neg b)) (+ 3 a))))) 1))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (- 1 b)) (* (* a a) (+ 3 b))))) 1)
Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(+ (pow (+ (* a a) (* b b)) 2) (+ (* 4 (- (+ (* a a) (* b (* b (+ a 3)))) (pow a 3))) -1))
(- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (- 1 (neg a))) (* (* b b) (+ 3 (neg a)))))) 1)
(+ (pow (+ (* a a) (* b b)) 2) (+ (* 4 (+ (pow a 3) (+ (* a a) (* (* b b) (- 3 a))))) -1))
(- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (neg b) (neg b)) (+ 3 a))))) 1)
(+ (pow (+ (* a a) (* b b)) 2) (+ (* 4 (- (+ (* a a) (* b (* b (+ a 3)))) (pow a 3))) -1))
(neg (- (+ (pow (+ (* (neg a) (neg a)) (* b b)) 2) (* 4 (+ (* (* (neg a) (neg a)) (- 1 (neg a))) (* (* b b) (+ 3 (neg a)))))) 1))
(+ 1 (- (* 4 (+ (* (* a a) (- -1 a)) (* b (* b (+ a -3))))) (pow (+ (* a a) (* b b)) 2)))
(neg (- (+ (pow (+ (* a a) (* (neg b) (neg b))) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* (neg b) (neg b)) (+ 3 a))))) 1))
(+ 1 (- (* (- (+ (* a a) (* b (* b (+ a 3)))) (pow a 3)) -4) (pow (+ (* a a) (* b b)) 2)))
(- (+ (pow (+ (* b b) (* a a)) 2) (* 4 (+ (* (* b b) (- 1 b)) (* (* a a) (+ 3 b))))) 1)
(+ (* 4 (+ (* b b) (- (* a (* a (+ b 3))) (pow b 3)))) (+ (pow (+ (* a a) (* b b)) 2) -1))
Symmetry

(abs b)

explain384.0ms (4.2%)

Memory
14.3MiB live, 331.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
470-0-(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
420-0-(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
200-3(-3625667.106243308 5.014034265034602e-161)(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
00-0-(*.f64 a a)
00-0-a
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))
00-0-(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
00-0-(*.f64 b b)
00-0-(-.f64 #s(literal 1 binary64) a)
00-0-(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))
00-0-(+.f64 (*.f64 a a) (*.f64 b b))
00-0-(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 3 binary64) a)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))nan-rescue470
(*.f64 b b)overflow65
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))overflow155
(*.f64 a a)overflow71
(+.f64 (*.f64 a a) (*.f64 b b))overflow119
(*.f64 b b)overflow65
(*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))overflow130
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))overflow130
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow85
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow87
(*.f64 a a)overflow71
+.f64(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))nan-rescue420
(*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a))overflow87
(*.f64 a a)overflow71
(*.f64 b b)overflow65
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))overflow85
Confusion
Predicted +Predicted -
+700
-0186
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7000
-00186
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0186
151
219
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms512×0valid
Compiler

Compiled 338 to 76 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 13.0ms (40.7% of total)
ival-add: 8.0ms (25.1% of total)
ival-sub: 4.0ms (12.5% of total)
ival-pow2: 4.0ms (12.5% of total)
exact: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.6%
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify579.0ms (6.3%)

Memory
13.6MiB live, 604.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (*.f64 a a) (*.f64 b b))
cost-diff128
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff320
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff5440
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
Rules
26 512×accelerator-lowering-fma.f32
26 512×accelerator-lowering-fma.f64
4 188×+-lowering-+.f64
4 188×+-lowering-+.f32
3 330×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018136
151136
2167136
3533136
41538136
52825136
66683136
08075126
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(pow (+ (* a a) (* b b)) 2)
(+ (* a a) (* b b))
(* a a)
a
(* b b)
b
2
(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
4
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(* (* a a) (- 1 a))
(- 1 a)
1
(* (* b b) (+ 3 a))
(+ 3 a)
3
Outputs
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(fma.f64 (*.f64 b b) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 b b (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a a (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))))))
(pow (+ (* a a) (* b b)) 2)
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(+ (* a a) (* b b))
(fma.f64 b b (*.f64 a a))
(* a a)
(*.f64 a a)
a
(* b b)
(*.f64 b b)
b
2
#s(literal 2 binary64)
(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
(*.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))))
4
#s(literal 4 binary64)
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(* (* a a) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(- 1 a)
(-.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
(* (* b b) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ 3 a)
(+.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize69.0ms (0.8%)

Memory
-31.9MiB live, 47.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64))
accuracy93.3%
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy85.4%
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy85.4%
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Samples
26.0ms256×0valid
Compiler

Compiled 138 to 20 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (44.3% of total)
ival-add: 4.0ms (25.3% of total)
ival-sub: 2.0ms (12.7% of total)
ival-pow2: 2.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (pow (+ (* a a) (* b b)) 2)>
#<alt (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))>
#<alt (- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)>
#<alt (+ (* a a) (* b b))>
#<alt (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))>
#<alt (* (* b b) (+ 3 a))>
Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 12 (pow b 2)) (pow b 4))>
#<alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))>
#<alt (pow a 2)>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (+ (pow a 2) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))>
#<alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))>
#<alt (* -1 (pow a 3))>
#<alt (* (pow a 3) (- (/ 1 a) 1))>
#<alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))>
#<alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* -1 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))>
#<alt (* (pow a 2) (- 1 a))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
b
@0
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
1.0ms
b
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@0
(pow (+ (* a a) (* b b)) 2)
0.0ms
a
@inf
(pow (+ (* a a) (* b b)) 2)
0.0ms
b
@inf
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))

rewrite433.0ms (4.7%)

Memory
13.7MiB live, 589.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 458×accelerator-lowering-fma.f32
5 458×accelerator-lowering-fma.f64
4 122×/-lowering-/.f32
4 122×/-lowering-/.f64
3 974×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01894
112894
2123394
0828381
Stop Event
iter limit
node limit
Counts
6 → 546
Calls
Call 1
Inputs
(pow (+ (* a a) (* b b)) 2)
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(- (+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(+ (* a a) (* b b))
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(* (* b b) (+ 3 a))
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 a a (*.f64 b b))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b))) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))) (-.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)))) (*.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))) (-.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)))))
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(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)
(*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal 27 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 (*.f64 b b) #s(literal 3 binary64))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))))
(*.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))
(*.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a (+.f64 a #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) a)))

simplify430.0ms (4.7%)

Memory
-13.0MiB live, 668.7MiB allocated
Algorithm
egg-herbie
Rules
19 992×accelerator-lowering-fma.f32
19 992×accelerator-lowering-fma.f64
4 374×+-lowering-+.f64
4 374×+-lowering-+.f32
3 756×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912222
15992169
218452105
357612012
084751830
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(pow a 2)
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(+ (pow a 2) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(pow b 2)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
Outputs
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (*.f64 a (*.f64 a (*.f64 a a))))
(+ (* 12 (pow b 2)) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64)))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.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 a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.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 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(fma.f64 a (*.f64 a (fma.f64 #s(literal 2 binary64) (*.f64 b b) #s(literal 4 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))) #s(literal -1 binary64)))
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 b b) (*.f64 a a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) (fma.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) a) #s(literal -4 binary64)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (+.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 a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 a (*.f64 a (*.f64 a a))) (-.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 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 a (fma.f64 #s(literal 2 binary64) a #s(literal 4 binary64)) #s(literal 12 binary64)))) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(*.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 (fma.f64 (/.f64 a (*.f64 b b)) (*.f64 #s(literal 2 binary64) a) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 a a) (*.f64 b b)) (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)) (*.f64 b b)))) (*.f64 a (*.f64 a (*.f64 a a)))))
(pow b 2)
(*.f64 b b)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(* (pow a 2) (+ 1 (/ (pow b 2) (pow a 2))))
(fma.f64 b b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(+ (pow a 2) (pow b 2))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* (pow b 2) (+ 1 (/ (pow a 2) (pow b 2))))
(fma.f64 b b (*.f64 a a))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a a))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* (pow a 3) (- (/ 1 a) 1))
(*.f64 a (-.f64 a (*.f64 a a)))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) (*.f64 a (-.f64 a (*.f64 a a))))
(* -1 (pow a 3))
(*.f64 a (*.f64 a (neg.f64 a)))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(*.f64 a (-.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(*.f64 a (fma.f64 b b (*.f64 (*.f64 a a) (+.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(*.f64 a (*.f64 (*.f64 a a) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))) a)) a))))
(* (pow a 2) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(fma.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))) (*.f64 a (-.f64 a (*.f64 a a))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 a (fma.f64 a (/.f64 (-.f64 #s(literal 1 binary64) a) (*.f64 b b)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* a (pow b 2))
(*.f64 b (*.f64 b a))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(fma.f64 b (*.f64 b a) (neg.f64 (*.f64 (*.f64 b b) #s(literal -3 binary64))))

eval105.0ms (1.1%)

Memory
8.9MiB live, 244.7MiB allocated
Compiler

Compiled 59 977 to 2 604 computations (95.7% saved)

prune83.0ms (0.9%)

Memory
-11.0MiB live, 231.6MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6837690
Fresh000
Picked101
Done000
Total6847691
Accuracy
100.0%
Counts
691 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
72.5%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
70.2%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
15.7%
(/.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
72.5%
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
46.4%
(*.f64 b (*.f64 b (*.f64 b b)))
44.2%
(*.f64 a (*.f64 a (*.f64 a a)))
Compiler

Compiled 524 to 188 computations (64.1% saved)

simplify528.0ms (5.7%)

Memory
-7.5MiB live, 872.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
cost-diff128
(fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))
cost-diff192
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
cost-diff0
(fma.f64 b b #s(literal 12 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 b b)
cost-diff0
(*.f64 b (*.f64 b b))
cost-diff0
(*.f64 b (*.f64 b (*.f64 b b)))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 a (*.f64 a a))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a a)))
cost-diff128
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
cost-diff128
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
cost-diff384
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
cost-diff1088
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
Rules
26 528×accelerator-lowering-fma.f32
26 528×accelerator-lowering-fma.f64
4 408×+-lowering-+.f64
4 408×+-lowering-+.f32
3 340×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033254
199241
2299237
3845237
42013237
53747237
66643237
08353212
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (* a a) (* b b))
a
(* b b)
b
(/ 1 (+ (* a a) (* b b)))
1
(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
4
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(* (* a a) (- 1 a))
(* a a)
(- 1 a)
(* (* b b) (+ 3 a))
(+ 3 a)
3
(* a (* a (* a a)))
a
(* a (* a a))
(* a a)
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
(+ (* (* b b) (+ (* b b) 12)) -1)
(* b b)
b
(+ (* b b) 12)
12
-1
(+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)
(* a a)
a
(+ (* a a) (+ (* 4 (neg a)) 4))
(+ (* 4 (neg a)) 4)
4
(neg a)
-1
Outputs
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(fma.f64 (*.f64 b b) (+.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64))) (fma.f64 (*.f64 a a) (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(fma.f64 a (*.f64 a (fma.f64 b b (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 b b) (+.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 a #s(literal 4 binary64) #s(literal 12 binary64)))))
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(*.f64 (fma.f64 b b (*.f64 a a)) (fma.f64 b b (*.f64 a a)))
(+ (* a a) (* b b))
(fma.f64 b b (*.f64 a a))
a
(* b b)
(*.f64 b b)
b
(/ 1 (+ (* a a) (* b b)))
(/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a a)))
1
#s(literal 1 binary64)
(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
(*.f64 #s(literal 4 binary64) (fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))))
4
#s(literal 4 binary64)
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(fma.f64 a (-.f64 a (*.f64 a a)) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))
(* (* a a) (- 1 a))
(*.f64 a (-.f64 a (*.f64 a a)))
(* a a)
(*.f64 a a)
(- 1 a)
(-.f64 #s(literal 1 binary64) a)
(* (* b b) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ 3 a)
(+.f64 a #s(literal 3 binary64))
3
#s(literal 3 binary64)
(* a (* a (* a a)))
(*.f64 a (*.f64 a (*.f64 a a)))
a
(* a (* a a))
(*.f64 a (*.f64 a a))
(* a a)
(*.f64 a a)
(* b (* b (* b b)))
(*.f64 b (*.f64 b (*.f64 b b)))
b
(* b (* b b))
(*.f64 b (*.f64 b b))
(* b b)
(*.f64 b b)
(+ (* (* b b) (+ (* b b) 12)) -1)
(fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
(+ (* b b) 12)
(fma.f64 b b #s(literal 12 binary64))
12
#s(literal 12 binary64)
-1
#s(literal -1 binary64)
(+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* a a)
(*.f64 a a)
a
(+ (* a a) (+ (* 4 (neg a)) 4))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ (* 4 (neg a)) 4)
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(neg a)
(neg.f64 a)
-1
#s(literal -1 binary64)

localize99.0ms (1.1%)

Memory
-7.7MiB live, 200.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(neg.f64 a)
accuracy100.0%
(fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
accuracy100.0%
(fma.f64 b b #s(literal 12 binary64))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
accuracy100.0%
(*.f64 b b)
accuracy99.9%
(*.f64 b (*.f64 b (*.f64 b b)))
accuracy99.9%
(*.f64 b (*.f64 b b))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a a)))
accuracy99.9%
(*.f64 a (*.f64 a a))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
accuracy93.3%
(*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))
accuracy85.4%
(+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))
accuracy85.4%
(+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Samples
58.0ms256×0valid
Compiler

Compiled 247 to 35 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 17.0ms (42.3% of total)
ival-add: 16.0ms (39.9% of total)
ival-div: 3.0ms (7.5% of total)
ival-sub: 2.0ms (5% of total)
exact: 1.0ms (2.5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-7.0MiB live, 31.7MiB allocated
Counts
18 → 288
Calls
Call 1
Inputs
#<alt (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))>
#<alt (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))>
#<alt (- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)>
#<alt (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))>
#<alt (* a (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (* b (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* b b)>
#<alt (+ (* (* b b) (+ (* b b) 12)) -1)>
#<alt (+ (* b b) 12)>
#<alt (+ (* a a) (+ (* 4 (neg a)) 4))>
#<alt (+ (* 4 (neg a)) 4)>
#<alt (+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)>
#<alt (* (* b b) (+ 3 a))>
#<alt (/ 1 (+ (* a a) (* b b)))>
#<alt (neg a)>
Outputs
#<alt (pow b 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))>
#<alt (pow a 4)>
#<alt (+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))>
#<alt (+ (* 12 (pow b 2)) (pow b 4))>
#<alt (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))>
#<alt (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))>
#<alt (- (+ (* 12 (pow b 2)) (pow b 4)) 1)>
#<alt (- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)>
#<alt (- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))>
#<alt (+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))>
#<alt (* -1 (pow a 3))>
#<alt (* (pow a 3) (- (/ 1 a) 1))>
#<alt (* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))>
#<alt (* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))>
#<alt (* -1 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1 (/ 1 a))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))>
#<alt (* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))>
#<alt (* (pow a 2) (- 1 a))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt -1>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt 12>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt 4>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt 4>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* -4 a))>
#<alt (* -4 a)>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* a (- (* 4 (/ 1 a)) 4))>
#<alt (* -4 a)>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt (* -1 (* a (- 4 (* 4 (/ 1 a)))))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* (pow b 2) (+ 3 a))>
#<alt (* 3 (pow b 2))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (+ (* 3 (pow b 2)) (* a (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))>
#<alt (* a (pow b 2))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))>
#<alt (/ 1 (pow b 2))>
#<alt (+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))>
#<alt (/ 1 (pow a 2))>
#<alt (+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
Calls

72 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(/ 1 (+ (* a a) (* b b)))
1.0ms
b
@0
(+ (* (* b b) (+ (* b b) 12)) -1)
1.0ms
b
@0
(/ 1 (+ (* a a) (* b b)))
0.0ms
a
@0
(/ 1 (+ (* a a) (* b b)))
0.0ms
a
@-inf
(* a (* a a))

rewrite430.0ms (4.7%)

Memory
9.1MiB live, 838.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 952×*-lowering-*.f32
4 952×*-lowering-*.f64
4 172×/-lowering-/.f32
4 172×/-lowering-/.f64
3 584×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033192
1235179
22225161
08767143
Stop Event
iter limit
node limit
Counts
18 → 775
Calls
Call 1
Inputs
(/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b))))
(+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
(- (+ (/ (+ (* a a) (* b b)) (/ 1 (+ (* a a) (* b b)))) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))) 1)
(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
(* a (* a (* a a)))
(* a (* a a))
(* a a)
(* b (* b (* b b)))
(* b (* b b))
(* b b)
(+ (* (* b b) (+ (* b b) 12)) -1)
(+ (* b b) 12)
(+ (* a a) (+ (* 4 (neg a)) 4))
(+ (* 4 (neg a)) 4)
(+ (* (* a a) (+ (* a a) (+ (* 4 (neg a)) 4))) -1)
(* (* b b) (+ 3 a))
(/ 1 (+ (* a a) (* b b)))
(neg a)
Outputs
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(+.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(+.f64 (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))))
(fma.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 b b))))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b)))
(fma.f64 (fma.f64 a a (*.f64 b b)) (*.f64 b b) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a)))
(neg.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b b))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b))) (*.f64 (+.f64 a b) (-.f64 a b)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))))) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b))))) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 a a (*.f64 b b)))) (neg.f64 (*.f64 (+.f64 a b) (-.f64 a b))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal -2 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))))
(*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(*.f64 (neg.f64 (fma.f64 a a (*.f64 b b))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b)))))
(*.f64 (/.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64)) (neg.f64 (fma.f64 a a (*.f64 b b))))
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(/.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))))) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64))) (*.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64)))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (*.f64 (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))) (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 a (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a (fma.f64 #s(literal -4 binary64) a #s(literal 4 binary64)))) #s(literal 1 binary64))))
(+.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b)))
(+.f64 (*.f64 a (*.f64 b b)) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 a (*.f64 b b) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 b (*.f64 b a) (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 b (*.f64 b #s(literal 3 binary64)) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 b b) a (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 b b) #s(literal 3 binary64) (*.f64 a (*.f64 b b)))
(fma.f64 #s(literal 3 binary64) (*.f64 b b) (*.f64 a (*.f64 b b)))
(fma.f64 (*.f64 a b) b (*.f64 b (*.f64 b #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) b) b (*.f64 a (*.f64 b b)))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))))) (fma.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b))))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))) (-.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b))))
(/.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64))) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a))) (-.f64 #s(literal 3 binary64) a))
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b)) (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b)) (-.f64 #s(literal 3 binary64) a))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))) #s(literal 27 binary64) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 b (*.f64 b #s(literal 3 binary64)))) (*.f64 (*.f64 a (*.f64 b b)) (*.f64 a (*.f64 b b))))) (neg.f64 (-.f64 (*.f64 b (*.f64 b #s(literal 3 binary64))) (*.f64 a (*.f64 b b)))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (fma.f64 a (*.f64 a a) #s(literal 27 binary64)))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 b b) (-.f64 #s(literal 9 binary64) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) #s(literal 27 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 a (-.f64 a #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 a a)) (*.f64 b b))) (neg.f64 (-.f64 #s(literal 3 binary64) a)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64)))
(*.f64 (+.f64 a #s(literal 3 binary64)) (*.f64 b b))
(*.f64 (*.f64 b (+.f64 a #s(literal 3 binary64))) b)
(exp.f64 (*.f64 (log.f64 (fma.f64 a a (*.f64 b b))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b))))))
(pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (fma.f64 a a (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a a (*.f64 b b)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 a a (*.f64 b b))))
(*.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 a a (*.f64 b b)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) (-.f64 (*.f64 b b) (*.f64 a a)) (*.f64 a (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (*.f64 (+.f64 a b) (-.f64 a b)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(neg.f64 a)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a)))
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)

simplify416.0ms (4.5%)

Memory
18.0MiB live, 813.5MiB allocated
Algorithm
egg-herbie
Rules
18 472×accelerator-lowering-fma.f32
18 472×accelerator-lowering-fma.f64
4 450×+-lowering-+.f64
4 450×+-lowering-+.f32
4 296×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02983227
19043155
226973061
081042886
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(pow b 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(pow a 4)
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(pow b 4)
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(+ (* 12 (pow b 2)) (pow b 4))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))))
(- (+ (* 12 (pow b 2)) (pow b 4)) 1)
(- (+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4))) 1)
(- (+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(- (+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4)) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(- (+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (+ 3 a) (pow b 2))))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (- 1 a)) (pow b 4))) (+ (* 4 (/ (+ 3 a) (pow b 2))) (/ (pow a 4) (pow b 4)))))) (/ 1 (pow b 4))))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (+ a (pow b 2))))
(+ (* 3 (pow b 2)) (* a (+ (* a (+ 1 (* -1 a))) (pow b 2))))
(* -1 (pow a 3))
(* (pow a 3) (- (/ 1 a) 1))
(* (pow a 3) (- (+ (/ 1 a) (/ (pow b 2) (pow a 2))) 1))
(* (pow a 3) (- (+ (* 3 (/ (pow b 2) (pow a 3))) (+ (/ 1 a) (/ (pow b 2) (pow a 2)))) 1))
(* -1 (pow a 3))
(* -1 (* (pow a 3) (- 1 (/ 1 a))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (/ (pow b 2) a)) a)))))
(* -1 (* (pow a 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2))) a))) a)))))
(* (pow a 2) (- 1 a))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(+ (* (pow a 2) (- 1 a)) (* (pow b 2) (+ 3 a)))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(* (pow b 2) (+ 3 (+ a (/ (* (pow a 2) (- 1 a)) (pow b 2)))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 4)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
12
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
4
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(+ 4 (* -4 a))
(* -4 a)
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* a (- (* 4 (/ 1 a)) 4))
(* -4 a)
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* (pow b 2) (+ 3 a))
(* 3 (pow b 2))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(* a (pow b 2))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(* a (pow b 2))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(/ 1 (pow b 2))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/ 1 (pow a 2))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
Outputs
(pow b 4)
(*.f64 (*.f64 b b) (*.f64 b b))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow b 4))
(*.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(+ (* (pow a 2) (+ (* 2 (pow b 2)) (pow a 2))) (pow b 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (+ 1 (* 2 (/ (pow b 2) (pow a 2)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(* (pow a 4) (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ (pow b 4) (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 b b) (/.f64 (*.f64 b b) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(+ (* 2 (* (pow a 2) (pow b 2))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(+ (* (pow b 2) (+ (* 2 (pow a 2)) (pow b 2))) (pow a 4))
(fma.f64 b (*.f64 b (fma.f64 b b (*.f64 #s(literal 2 binary64) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 a a)))
(pow b 4)
(*.f64 (*.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(pow b 4)
(*.f64 (*.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 2 (/ (pow a 2) (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64)))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(* (pow b 4) (+ 1 (+ (* 2 (/ (pow a 2) (pow b 2))) (/ (pow a 4) (pow b 4)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (*.f64 a a) (/.f64 #s(literal 2 binary64) (*.f64 b b)) #s(literal 1 binary64))))
(+ (* 12 (pow b 2)) (pow b 4))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(+ (* 4 (* a (pow b 2))) (+ (* 12 (pow b 2)) (pow b 4)))
(*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (* 2 (pow b 2)))))) (pow b 4)))
(fma.f64 b (*.f64 b (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))) (*.f64 a (*.f64 a (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)))))
(+ (* 12 (pow b 2)) (+ (* a (+ (* 4 (pow b 2)) (* a (+ 4 (+ (* -4 a) (* 2 (pow b 2))))))) (pow b 4)))
(fma.f64 (*.f64 a a) (fma.f64 b (*.f64 b #s(literal 2 binary64)) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (fma.f64 b b (fma.f64 #s(literal 4 binary64) a #s(literal 12 binary64)))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (/ 4 (pow a 2)))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (*.f64 b b) (/.f64 #s(literal 2 binary64) (*.f64 a a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (+ (* 2 (/ (pow b 2) (pow a 2))) (+ (* 4 (/ (pow b 2) (pow a 3))) (/ 4 (pow a 2))))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (fma.f64 (/.f64 (*.f64 b b) (*.f64 a a)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) a)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (* 2 (pow b 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 b (*.f64 b #s(literal 2 binary64)) #s(literal 4 binary64)) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (+ 4 (+ (* 2 (pow b 2)) (* 4 (/ (pow b 2) a)))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.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 4 binary64) a)) #s(literal 4 binary64)) a)) a)))
(+ (* 4 (* (pow a 2) (- 1 a))) (pow a 4))
(*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (* 4 (+ 3 a)))) (pow a 4)))
(fma.f64 (*.f64 b b) (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)) #s(literal 12 binary64)) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
(+ (* 4 (* (pow a 2) (- 1 a))) (+ (* (pow b 2) (+ (* 2 (pow a 2)) (+ (* 4 (+ 3 a)) (pow b 2)))) (pow a 4)))
(fma.f64 (*.f64 b b) (fma.f64 b b (fma.f64 a (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) a)) #s(literal 12 binary64))) (*.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64)))))
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(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
-1
#s(literal -1 binary64)
(- (* 12 (pow b 2)) 1)
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 (*.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))))
(pow b 4)
(*.f64 (*.f64 b b) (*.f64 b b))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 12 binary64) (*.f64 b b))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 12 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))))
12
#s(literal 12 binary64)
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (fma.f64 a (/.f64 #s(literal -4 binary64) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (fma.f64 a (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) a))
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* a (- (* 4 (/ 1 a)) 4))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
(* -1 (* a (- 4 (* 4 (/ 1 a)))))
(*.f64 a (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))))))
(pow a 4)
(*.f64 (*.f64 a a) (*.f64 a a))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) a)))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) a)) a)))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a a))) a)) a)))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* (pow b 2) (+ 3 a))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* 3 (pow b 2))
(*.f64 b (*.f64 b #s(literal 3 binary64)))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(+ (* 3 (pow b 2)) (* a (pow b 2)))
(*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (+ (* 3 (/ (pow b 2) a)) (pow b 2)))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* a (pow b 2))
(*.f64 a (*.f64 b b))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(* -1 (* a (+ (* -3 (/ (pow b 2) a)) (* -1 (pow b 2)))))
(*.f64 a (*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) a))))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* -1 (/ (pow a 2) (pow b 4))) (/ 1 (pow b 2)))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(+ (* (pow a 2) (- (/ (pow a 2) (pow b 6)) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(+ (* (pow a 2) (- (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b 8))) (/ 1 (pow b 6)))) (/ 1 (pow b 4)))) (/ 1 (pow b 2)))
(fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 8 binary64))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b)))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(/ (+ 1 (* -1 (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(/ (- (+ 1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2))) (pow a 2))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (*.f64 a a))
(/ (- (+ 1 (* -1 (/ (pow b 6) (pow a 6)))) (+ (* -1 (/ (pow b 4) (pow a 4))) (/ (pow b 2) (pow a 2)))) (pow a 2))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 a a) (*.f64 a a))) (fma.f64 b (/.f64 b (*.f64 a a)) #s(literal -1 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 6 binary64)))) (*.f64 a a))
(/ 1 (pow a 2))
(/.f64 #s(literal 1 binary64) (*.f64 a a))
(+ (* -1 (/ (pow b 2) (pow a 4))) (/ 1 (pow a 2)))
(/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a))
(+ (* (pow b 2) (- (/ (pow b 2) (pow a 6)) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (*.f64 b (/.f64 b (pow.f64 a #s(literal 6 binary64)))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(+ (* (pow b 2) (- (* (pow b 2) (+ (* -1 (/ (pow b 2) (pow a 8))) (/ 1 (pow a 6)))) (/ 1 (pow a 4)))) (/ 1 (pow a 2)))
(fma.f64 (*.f64 b b) (*.f64 (*.f64 b b) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 6 binary64))) (*.f64 b (/.f64 b (pow.f64 a #s(literal 8 binary64)))))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 b (*.f64 a a)) #s(literal 1 binary64)) (*.f64 a a)))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (+ 1 (* -1 (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64)) (*.f64 b b))
(/ (- (+ 1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2))) (pow b 2))
(/.f64 (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (*.f64 b b))
(/ (- (+ 1 (* -1 (/ (pow a 6) (pow b 6)))) (+ (* -1 (/ (pow a 4) (pow b 4))) (/ (pow a 2) (pow b 2)))) (pow b 2))
(/.f64 (-.f64 (fma.f64 a (/.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 b b) (*.f64 b b))) (fma.f64 (neg.f64 a) (/.f64 a (*.f64 b b)) #s(literal 1 binary64))) (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b))
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)

eval166.0ms (1.8%)

Memory
-2.1MiB live, 269.4MiB allocated
Compiler

Compiled 75 533 to 3 461 computations (95.4% saved)

prune178.0ms (1.9%)

Memory
8.1MiB live, 167.3MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 167121 179
Fresh202
Picked235
Done000
Total1 171151 186
Accuracy
100.0%
Counts
1 186 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
47.1%
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
33.2%
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))) #s(literal -1 binary64))
53.7%
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
70.2%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
69.9%
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
42.1%
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
55.9%
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
53.7%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
44.2%
(pow.f64 a #s(literal 4 binary64))
32.0%
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))
44.2%
(*.f64 (*.f64 a a) (*.f64 a a))
46.4%
(*.f64 b (*.f64 b (*.f64 b b)))
44.2%
(*.f64 a (*.f64 a (*.f64 a a)))
27.0%
#s(literal -1 binary64)
Compiler

Compiled 357 to 207 computations (42% saved)

simplify539.0ms (5.9%)

Memory
26.1MiB live, 297.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 a a #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 (*.f64 a a) (*.f64 a a))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
cost-diff0
(+.f64 a #s(literal -4 binary64))
cost-diff0
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
Rules
20 794×accelerator-lowering-fma.f32
20 794×accelerator-lowering-fma.f64
3 306×*-lowering-*.f32
3 306×*-lowering-*.f64
3 220×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01677
14775
210973
318773
426073
527973
630173
745873
8140073
9290573
10632073
0810166
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* a a) (+ (* a (+ a -4)) 4)) -1)
(* a a)
a
(+ (* a (+ a -4)) 4)
(+ a -4)
-4
4
-1
-1
(+ (* (* a a) 4) -1)
(* a a)
a
4
-1
(* (* a a) (* a a))
(* a a)
a
(+ (* (* a a) (+ (* a a) 4)) -1)
(* a a)
a
(+ (* a a) 4)
4
-1
Outputs
(+ (* (* a a) (+ (* a (+ a -4)) 4)) -1)
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(* a a)
(*.f64 a a)
a
(+ (* a (+ a -4)) 4)
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ a -4)
(+.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(+ (* (* a a) 4) -1)
(fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))
(* a a)
(*.f64 a a)
a
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)
(* (* a a) (* a a))
(*.f64 a (*.f64 a (*.f64 a a)))
(* a a)
(*.f64 a a)
a
(+ (* (* a a) (+ (* a a) 4)) -1)
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(* a a)
(*.f64 a a)
a
(+ (* a a) 4)
(fma.f64 a a #s(literal 4 binary64))
4
#s(literal 4 binary64)
-1
#s(literal -1 binary64)

localize48.0ms (0.5%)

Memory
-1.7MiB live, 36.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 a a #s(literal 4 binary64))
accuracy100.0%
(*.f64 a a)
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy99.7%
(*.f64 (*.f64 a a) (*.f64 a a))
accuracy100.0%
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(+.f64 a #s(literal -4 binary64))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
accuracy99.9%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
Samples
30.0ms256×0valid
Compiler

Compiled 72 to 19 computations (73.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (54.5% of total)
ival-add: 6.0ms (40.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (+ (* (* a a) (+ (* a (+ a -4)) 4)) -1)>
#<alt (* a a)>
#<alt (+ (* a (+ a -4)) 4)>
#<alt (+ a -4)>
#<alt (+ (* (* a a) 4) -1)>
#<alt (* (* a a) (* a a))>
#<alt (+ (* (* a a) (+ (* a a) 4)) -1)>
#<alt (+ (* a a) 4)>
Outputs
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (* -4 a))) 1)>
#<alt (- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt 4>
#<alt (+ 4 (* -4 a))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (+ 4 (* a (- a 4)))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt (* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))>
#<alt -4>
#<alt (- a 4)>
#<alt (- a 4)>
#<alt (- a 4)>
#<alt a>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- 4 (/ 1 (pow a 2))))>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt (pow a 4)>
#<alt -1>
#<alt (- (* 4 (pow a 2)) 1)>
#<alt (- (* (pow a 2) (+ 4 (pow a 2))) 1)>
#<alt (- (* (pow a 2) (+ 4 (pow a 2))) 1)>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt (* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))>
#<alt 4>
#<alt (+ 4 (pow a 2))>
#<alt (+ 4 (pow a 2))>
#<alt (+ 4 (pow a 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
a
@0
(+ (* (* a a) (+ (* a (+ a -4)) 4)) -1)
0.0ms
a
@0
(+ (* (* a a) (+ (* a a) 4)) -1)
0.0ms
a
@inf
(+ (* (* a a) 4) -1)
0.0ms
a
@inf
(+ (* (* a a) (+ (* a a) 4)) -1)
0.0ms
a
@0
(+ (* (* a a) 4) -1)

rewrite436.0ms (4.7%)

Memory
-27.7MiB live, 311.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 234×accelerator-lowering-fma.f32
8 234×accelerator-lowering-fma.f64
4 638×*-lowering-*.f32
4 638×*-lowering-*.f64
4 064×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654
111752
293652
0831545
Stop Event
iter limit
node limit
Counts
8 → 416
Calls
Call 1
Inputs
(+ (* (* a a) (+ (* a (+ a -4)) 4)) -1)
(* a a)
(+ (* a (+ a -4)) 4)
(+ a -4)
(+ (* (* a a) 4) -1)
(* (* a a) (* a a))
(+ (* (* a a) (+ (* a a) 4)) -1)
(+ (* a a) 4)
Outputs
(+.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(+.f64 (*.f64 a (*.f64 a #s(literal 4 binary64))) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(+.f64 (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))))
(+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -4 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))) (*.f64 a (*.f64 a #s(literal 4 binary64))))
(+.f64 (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)) (*.f64 a (*.f64 a #s(literal 4 binary64))))
(-.f64 (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) (/.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))))
(-.f64 (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) #s(literal -4 binary64) #s(literal -1 binary64))))
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -4 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 a (*.f64 a (*.f64 a a)) (fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 a (*.f64 a #s(literal 4 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 a (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 a (neg.f64 (*.f64 (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 a (fma.f64 a #s(literal 4 binary64) (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a))) #s(literal -1 binary64))
(fma.f64 a (fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 a (fma.f64 a #s(literal 4 binary64) (*.f64 (*.f64 a a) (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64))
(fma.f64 a (fma.f64 (*.f64 a a) (+.f64 a #s(literal -4 binary64)) (*.f64 a #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 a #s(literal -4 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a a) (fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64))) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 (*.f64 a a) #s(literal -1 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (+.f64 a #s(literal -4 binary64))) (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 (*.f64 a a) #s(literal -1 binary64))) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) (*.f64 a a) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) #s(literal -4 binary64)) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (*.f64 a #s(literal 4 binary64))) #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 (*.f64 a a) (*.f64 a #s(literal -4 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a (*.f64 a a)) a (fma.f64 (*.f64 a #s(literal -4 binary64)) (*.f64 a a) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 a (*.f64 a a)) (+.f64 a #s(literal -4 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a #s(literal 4 binary64))) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))))
(fma.f64 (*.f64 a (*.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal 4 binary64))))) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))))
(fma.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal -4 binary64))))) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))))
(fma.f64 (*.f64 (*.f64 a a) #s(literal -4 binary64)) #s(literal -1 binary64) (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 a a) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))))
(fma.f64 (*.f64 a #s(literal 4 binary64)) a (fma.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))) #s(literal -1 binary64)))
(fma.f64 (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) a #s(literal -1 binary64))
(fma.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal 1 binary64)) (*.f64 a (*.f64 a #s(literal 4 binary64)))))) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a a) #s(literal -4 binary64) #s(literal -1 binary64))) (*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a (*.f64 a #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64)))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 a (*.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))))))
(*.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64)))) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64)))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) #s(literal 1 binary64)) (neg.f64 (*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64)))))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a (fma.f64 a a #s(literal 4 binary64))) (neg.f64 a) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (fma.f64 a a #s(literal 4 binary64)) (fma.f64 a a #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64)))))))
(+.f64 (*.f64 a a) #s(literal 4 binary64))
(+.f64 #s(literal 4 binary64) (*.f64 a a))
(+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 a a))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (-.f64 #s(literal 4 binary64) (*.f64 a a))))
(fma.f64 a a #s(literal 4 binary64))
(fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -4 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64)))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)) #s(literal 4 binary64))
(fma.f64 (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)) (pow.f64 (*.f64 a a) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64)) (fma.f64 a (neg.f64 a) #s(literal 4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64))) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64))) (fma.f64 a a #s(literal -4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 4 binary64)))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64)) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64)) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (fma.f64 a a #s(literal -4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (fma.f64 a a #s(literal -4 binary64)))) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64)) (fma.f64 a a #s(literal -4 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64))) (neg.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (fma.f64 a a #s(literal -4 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64))) (fma.f64 a (neg.f64 a) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (-.f64 #s(literal 4 binary64) (*.f64 a a)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (*.f64 (fma.f64 a a #s(literal -4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 a a #s(literal -4 binary64)) (fma.f64 a a #s(literal -4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))) #s(literal 262144 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 4096 binary64)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) #s(literal 64 binary64)))) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -4096 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -64 binary64)) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -4096 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal 256 binary64)) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) #s(literal 16 binary64)))) (fma.f64 a a #s(literal -4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a))) #s(literal -256 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (fma.f64 a a #s(literal -4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64)))) (neg.f64 (fma.f64 a (neg.f64 a) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))) (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (fma.f64 a a #s(literal -4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 a a #s(literal -4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64)))))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (fma.f64 a a #s(literal -4 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 4 binary64)))
(*.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -4 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal 16 binary64)) (*.f64 (*.f64 a a) #s(literal -4 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 a) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 a a))))

simplify315.0ms (3.4%)

Memory
-18.3MiB live, 183.2MiB allocated
Algorithm
egg-herbie
Rules
10 720×accelerator-lowering-fma.f32
10 720×accelerator-lowering-fma.f64
2 854×*-lowering-*.f32
2 854×*-lowering-*.f64
1 674×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062514
1192514
2541506
31855490
45752490
08095439
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
4
(+ 4 (* -4 a))
(+ 4 (* a (- a 4)))
(+ 4 (* a (- a 4)))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
-4
(- a 4)
(- a 4)
(- a 4)
a
(* a (- 1 (* 4 (/ 1 a))))
(* a (- 1 (* 4 (/ 1 a))))
(* a (- 1 (* 4 (/ 1 a))))
a
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
-1
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(- (* 4 (pow a 2)) 1)
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* 4 (pow a 2))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
-1
(- (* 4 (pow a 2)) 1)
(- (* (pow a 2) (+ 4 (pow a 2))) 1)
(- (* (pow a 2) (+ 4 (pow a 2))) 1)
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
4
(+ 4 (pow a 2))
(+ 4 (pow a 2))
(+ 4 (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
Outputs
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* -4 a))) 1)
(fma.f64 a (*.f64 a (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (* a (- a 4)))) 1)
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(* (pow a 4) (- (+ 1 (/ 4 (pow a 2))) (+ (* 4 (/ 1 a)) (/ 1 (pow a 4)))))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 4) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(* (pow a 4) (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 4 (/ 1 (pow a 2))) a))) a))))
(fma.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
4
#s(literal 4 binary64)
(+ 4 (* -4 a))
(fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(+ 4 (* a (- a 4)))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(* (pow a 2) (- (+ 1 (/ 4 (pow a 2))) (* 4 (/ 1 a))))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* -1 (/ (- 4 (* 4 (/ 1 a))) a))))
(fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))
-4
#s(literal -4 binary64)
(- a 4)
(+.f64 a #s(literal -4 binary64))
(- a 4)
(+.f64 a #s(literal -4 binary64))
(- a 4)
(+.f64 a #s(literal -4 binary64))
a
(* a (- 1 (* 4 (/ 1 a))))
(+.f64 a #s(literal -4 binary64))
(* a (- 1 (* 4 (/ 1 a))))
(+.f64 a #s(literal -4 binary64))
(* a (- 1 (* 4 (/ 1 a))))
(+.f64 a #s(literal -4 binary64))
a
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(+.f64 a #s(literal -4 binary64))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(+.f64 a #s(literal -4 binary64))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(+.f64 a #s(literal -4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(* (pow a 2) (- 4 (/ 1 (pow a 2))))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
-1
#s(literal -1 binary64)
(- (* 4 (pow a 2)) 1)
(fma.f64 #s(literal 4 binary64) (*.f64 a a) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (pow a 2))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow a 2) (+ 4 (pow a 2))) 1)
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow a 4) (- (+ 1 (* 4 (/ 1 (pow a 2)))) (/ 1 (pow a 4))))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
4
#s(literal 4 binary64)
(+ 4 (pow a 2))
(fma.f64 a a #s(literal 4 binary64))
(+ 4 (pow a 2))
(fma.f64 a a #s(literal 4 binary64))
(+ 4 (pow a 2))
(fma.f64 a a #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))

eval67.0ms (0.7%)

Memory
36.4MiB live, 109.7MiB allocated
Compiler

Compiled 14 235 to 1 247 computations (91.2% saved)

prune72.0ms (0.8%)

Memory
-31.3MiB live, 95.2MiB allocated
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New5884592
Fresh077
Picked055
Done033
Total58819607
Accuracy
100.0%
Counts
607 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
47.1%
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
33.2%
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))) #s(literal -1 binary64))
53.7%
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
70.2%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
69.9%
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
42.1%
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
55.9%
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
53.7%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
44.2%
(pow.f64 a #s(literal 4 binary64))
32.0%
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))
44.2%
(*.f64 (*.f64 a a) (*.f64 a a))
46.4%
(*.f64 b (*.f64 b (*.f64 b b)))
44.5%
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
44.2%
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
44.5%
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
44.2%
(*.f64 a (*.f64 a (*.f64 a a)))
30.2%
(*.f64 #s(literal 4 binary64) (*.f64 a a))
27.0%
#s(literal -1 binary64)
Compiler

Compiled 393 to 230 computations (41.5% saved)

simplify19.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))
cost-diff0
(*.f64 b b)
cost-diff0
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))))
cost-diff0
(+.f64 a #s(literal -4 binary64))
cost-diff0
(*.f64 a (+.f64 a #s(literal -4 binary64)))
cost-diff0
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
cost-diff0
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
cost-diff0
(fma.f64 a a #s(literal 4 binary64))
cost-diff0
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
cost-diff0
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
cost-diff0
(*.f64 a a)
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 a a))
cost-diff0
(*.f64 b #s(literal 12 binary64))
cost-diff0
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
Rules
410×*-lowering-*.f32
410×*-lowering-*.f64
382×accelerator-lowering-fma.f32
382×accelerator-lowering-fma.f64
278×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030144
173132
2158130
3338130
4616130
5722130
6727130
0727120
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* b (* b 12)) -1)
b
(* b 12)
12
-1
(* 4 (* a a))
4
(* a a)
a
(* a (* a (+ (* a a) 4)))
a
(* a (+ (* a a) 4))
(+ (* a a) 4)
4
(* a (* a (* a (+ a -4))))
a
(* a (* a (+ a -4)))
(* a (+ a -4))
(+ a -4)
-4
(+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))) -1)
(* b b)
b
(/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))
1
(/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144))
(+ (* b b) -12)
-12
(+ (* b (* b (* b b))) -144)
(* b (* b b))
-144
-1
Outputs
(+ (* b (* b 12)) -1)
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
b
(* b 12)
(*.f64 b #s(literal 12 binary64))
12
#s(literal 12 binary64)
-1
#s(literal -1 binary64)
(* 4 (* a a))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
4
#s(literal 4 binary64)
(* a a)
(*.f64 a a)
a
(* a (* a (+ (* a a) 4)))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
a
(* a (+ (* a a) 4))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(+ (* a a) 4)
(fma.f64 a a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* a (* a (* a (+ a -4))))
(*.f64 (*.f64 a a) (*.f64 a (+.f64 a #s(literal -4 binary64))))
a
(* a (* a (+ a -4)))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* a (+ a -4))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(+ a -4)
(+.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))) -1)
(fma.f64 (*.f64 b b) (/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 b b #s(literal -12 binary64))) #s(literal -1 binary64))
(* b b)
(*.f64 b b)
b
(/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))
(/.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (fma.f64 b b #s(literal -12 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144))
(/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))
(+ (* b b) -12)
(fma.f64 b b #s(literal -12 binary64))
-12
#s(literal -12 binary64)
(+ (* b (* b (* b b))) -144)
(fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))
(* b (* b b))
(*.f64 b (*.f64 b b))
-144
#s(literal -144 binary64)
-1
#s(literal -1 binary64)

localize71.0ms (0.8%)

Memory
-19.6MiB live, 99.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64))))
accuracy99.9%
(*.f64 b (*.f64 b b))
accuracy62.6%
(/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))
accuracy100.0%
(+.f64 a #s(literal -4 binary64))
accuracy100.0%
(*.f64 a (+.f64 a #s(literal -4 binary64)))
accuracy99.9%
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
accuracy100.0%
(fma.f64 a a #s(literal 4 binary64))
accuracy100.0%
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
accuracy100.0%
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
accuracy100.0%
(*.f64 a a)
accuracy100.0%
(*.f64 #s(literal 4 binary64) (*.f64 a a))
accuracy100.0%
(*.f64 b #s(literal 12 binary64))
accuracy99.9%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
Samples
41.0ms256×0valid
Compiler

Compiled 143 to 32 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 18.0ms (65.3% of total)
ival-add: 6.0ms (21.8% of total)
ival-div: 3.0ms (10.9% of total)
exact: 1.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (+ (* b (* b 12)) -1)>
#<alt (* b 12)>
#<alt (* 4 (* a a))>
#<alt (* a a)>
#<alt (* a (* a (+ (* a a) 4)))>
#<alt (* a (+ (* a a) 4))>
#<alt (+ (* a a) 4)>
#<alt (* a (* a (* a (+ a -4))))>
#<alt (* a (* a (+ a -4)))>
#<alt (* a (+ a -4))>
#<alt (+ a -4)>
#<alt (/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))>
#<alt (+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))) -1)>
#<alt (* b b)>
#<alt (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144))>
#<alt (* b (* b b))>
Outputs
#<alt -1>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (* 12 (pow b 2))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* 12 (pow b 2))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* (pow b 2) (- 12 (/ 1 (pow b 2))))>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 12 b)>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (* 4 (pow a 2))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (* 4 (pow a 2))>
#<alt (* (pow a 2) (+ 4 (pow a 2)))>
#<alt (* (pow a 2) (+ 4 (pow a 2)))>
#<alt (* (pow a 2) (+ 4 (pow a 2)))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* 4 a)>
#<alt (* a (+ 4 (pow a 2)))>
#<alt (* a (+ 4 (pow a 2)))>
#<alt (* a (+ 4 (pow a 2)))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt 4>
#<alt (+ 4 (pow a 2))>
#<alt (+ 4 (pow a 2))>
#<alt (+ 4 (pow a 2))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))>
#<alt (* -4 (pow a 3))>
#<alt (* (pow a 3) (- a 4))>
#<alt (* (pow a 3) (- a 4))>
#<alt (* (pow a 3) (- a 4))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (pow a 4)>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 4) (- 1 (* 4 (/ 1 a))))>
#<alt (* -4 (pow a 2))>
#<alt (* (pow a 2) (- a 4))>
#<alt (* (pow a 2) (- a 4))>
#<alt (* (pow a 2) (- a 4))>
#<alt (pow a 3)>
#<alt (* (pow a 3) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 3) (- 1 (* 4 (/ 1 a))))>
#<alt (pow a 3)>
#<alt (* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))>
#<alt (* -4 a)>
#<alt (* a (- a 4))>
#<alt (* a (- a 4))>
#<alt (* a (- a 4))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (pow a 2)>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt (* (pow a 2) (- 1 (* 4 (/ 1 a))))>
#<alt -4>
#<alt (- a 4)>
#<alt (- a 4)>
#<alt (- a 4)>
#<alt a>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt (* a (- 1 (* 4 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 4 (/ 1 a)) 1)))>
#<alt 12>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (+ 12 (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt -1>
#<alt (- (* 12 (pow b 2)) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (- (* (pow b 2) (+ 12 (pow b 2))) 1)>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 4)>
#<alt (* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt 1/12>
#<alt (+ 1/12 (* -1/144 (pow b 2)))>
#<alt (+ 1/12 (* (pow b 2) (- (* 1/1728 (pow b 2)) 1/144)))>
#<alt (+ 1/12 (* (pow b 2) (- (* (pow b 2) (+ 1/1728 (* -1/20736 (pow b 2)))) 1/144)))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2))>
#<alt (/ 1 (pow b 2))>
#<alt (/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2))>
#<alt (/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144))
0.0ms
b
@inf
(+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))) -1)
0.0ms
b
@0
(/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))
0.0ms
a
@inf
(* 4 (* a a))
0.0ms
b
@inf
(* b 12)

rewrite313.0ms (3.4%)

Memory
24.1MiB live, 456.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 728×accelerator-lowering-fma.f32
9 728×accelerator-lowering-fma.f64
4 546×*-lowering-*.f32
4 546×*-lowering-*.f64
3 534×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030116
116690
2115290
0862982
Stop Event
iter limit
node limit
Counts
16 → 648
Calls
Call 1
Inputs
(+ (* b (* b 12)) -1)
(* b 12)
(* 4 (* a a))
(* a a)
(* a (* a (+ (* a a) 4)))
(* a (+ (* a a) 4))
(+ (* a a) 4)
(* a (* a (* a (+ a -4))))
(* a (* a (+ a -4)))
(* a (+ a -4))
(+ a -4)
(/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))
(+ (* (* b b) (/ 1 (/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144)))) -1)
(* b b)
(/ (+ (* b b) -12) (+ (* b (* b (* b b))) -144))
(* b (* b b))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
(+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -12 binary64)))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -12 binary64)))))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 b (neg.f64 (*.f64 (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 b (neg.f64 (*.f64 b #s(literal -12 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(fma.f64 (*.f64 b #s(literal 12 binary64)) b #s(literal -1 binary64))
(fma.f64 (*.f64 b #s(literal 12 binary64)) (neg.f64 (*.f64 b #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -12 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -12 binary64) (neg.f64 (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 b b) #s(literal -12 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 b b)) #s(literal -12 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 12 binary64) (*.f64 b b)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (*.f64 (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 b) (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 b #s(literal 12 binary64))) (*.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) #s(literal -1 binary64))) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 b b) #s(literal 144 binary64)) #s(literal -12 binary64)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -12 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 b b) #s(literal 144 binary64)) #s(literal -12 binary64)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) #s(literal -1 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 b b) #s(literal 144 binary64)) #s(literal -12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) #s(literal -1 binary64))) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -12 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -12 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 b b) (-.f64 (*.f64 (*.f64 b b) #s(literal 144 binary64)) #s(literal -12 binary64))))))
(*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal 1728 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 12 binary64) (*.f64 b b)))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b #s(literal -12 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 144 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 b b) #s(literal -12 binary64)))))
(*.f64 b #s(literal 12 binary64))
(*.f64 #s(literal 12 binary64) b)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 a (*.f64 #s(literal 4 binary64) a))
(*.f64 (*.f64 a a) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal 4 binary64) a) a)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)))
(pow.f64 a #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(*.f64 a a)
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(+.f64 (*.f64 (*.f64 a a) (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 a (*.f64 a (*.f64 a a)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 a (*.f64 #s(literal 4 binary64) a) (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (*.f64 a (*.f64 a a)) a (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (*.f64 a a) (*.f64 a a)))
(fma.f64 (*.f64 a (pow.f64 a #s(literal 3/2 binary64))) (pow.f64 a #s(literal 3/2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(/.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (fma.f64 a (*.f64 a #s(literal -4 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))) (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal -4 binary64)) (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64)))))
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 64 binary64))) (+.f64 #s(literal 16 binary64) (fma.f64 a (*.f64 a #s(literal -4 binary64)) (*.f64 (*.f64 a a) (*.f64 a a)))))
(/.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 a a) (*.f64 a a) #s(literal -16 binary64))) (fma.f64 a a #s(literal -4 binary64)))
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(*.f64 (*.f64 b (*.f64 b b)) #s(literal 1 binary64))
(*.f64 (*.f64 b (*.f64 b b)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 b (*.f64 b b)))
(*.f64 (pow.f64 (*.f64 b b) #s(literal 3/4 binary64)) (pow.f64 (*.f64 b b) #s(literal 3/4 binary64)))

simplify180.0ms (2%)

Memory
-34.5MiB live, 252.3MiB allocated
Algorithm
egg-herbie
Rules
4 944×accelerator-lowering-fma.f32
4 944×accelerator-lowering-fma.f64
3 730×*-lowering-*.f32
3 730×*-lowering-*.f64
1 338×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931032
12451032
26381028
320191028
454531028
08190962
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
-1
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(- (* 12 (pow b 2)) 1)
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* 12 (pow b 2))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 12 b)
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(* 4 (pow a 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* 4 (pow a 2))
(* (pow a 2) (+ 4 (pow a 2)))
(* (pow a 2) (+ 4 (pow a 2)))
(* (pow a 2) (+ 4 (pow a 2)))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(pow a 4)
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* 4 a)
(* a (+ 4 (pow a 2)))
(* a (+ 4 (pow a 2)))
(* a (+ 4 (pow a 2)))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(pow a 3)
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
4
(+ 4 (pow a 2))
(+ 4 (pow a 2))
(+ 4 (pow a 2))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(* -4 (pow a 3))
(* (pow a 3) (- a 4))
(* (pow a 3) (- a 4))
(* (pow a 3) (- a 4))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(pow a 4)
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(* -4 (pow a 2))
(* (pow a 2) (- a 4))
(* (pow a 2) (- a 4))
(* (pow a 2) (- a 4))
(pow a 3)
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(pow a 3)
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(* -4 a)
(* a (- a 4))
(* a (- a 4))
(* a (- a 4))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
-4
(- a 4)
(- a 4)
(- a 4)
a
(* a (- 1 (* 4 (/ 1 a))))
(* a (- 1 (* 4 (/ 1 a))))
(* a (- 1 (* 4 (/ 1 a))))
a
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
12
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(+ 12 (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
-1
(- (* 12 (pow b 2)) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 4)
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
1/12
(+ 1/12 (* -1/144 (pow b 2)))
(+ 1/12 (* (pow b 2) (- (* 1/1728 (pow b 2)) 1/144)))
(+ 1/12 (* (pow b 2) (- (* (pow b 2) (+ 1/1728 (* -1/20736 (pow b 2)))) 1/144)))
(/ 1 (pow b 2))
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2))
(/ 1 (pow b 2))
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
Outputs
-1
#s(literal -1 binary64)
(- (* 12 (pow b 2)) 1)
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* 12 (pow b 2)) 1)
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* 12 (pow b 2)) 1)
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(* 12 (pow b 2))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(* (pow b 2) (- 12 (/ 1 (pow b 2))))
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 12 b)
(*.f64 #s(literal 12 binary64) b)
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* 4 (pow a 2))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(* (pow a 2) (+ 4 (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 2) (+ 4 (pow a 2)))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* (pow a 4) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(* 4 a)
(*.f64 #s(literal 4 binary64) a)
(* a (+ 4 (pow a 2)))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(* a (+ 4 (pow a 2)))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(* a (+ 4 (pow a 2)))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
(* (pow a 3) (+ 1 (* 4 (/ 1 (pow a 2)))))
(*.f64 a (fma.f64 a a #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (pow a 2))
(fma.f64 a a #s(literal 4 binary64))
(+ 4 (pow a 2))
(fma.f64 a a #s(literal 4 binary64))
(+ 4 (pow a 2))
(fma.f64 a a #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* (pow a 2) (+ 1 (* 4 (/ 1 (pow a 2)))))
(fma.f64 a a #s(literal 4 binary64))
(* -4 (pow a 3))
(*.f64 (*.f64 a (*.f64 a a)) #s(literal -4 binary64))
(* (pow a 3) (- a 4))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 3) (- a 4))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 3) (- a 4))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(pow a 4)
(*.f64 a (*.f64 a (*.f64 a a)))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* (pow a 4) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(* -4 (pow a 2))
(*.f64 a (*.f64 a #s(literal -4 binary64)))
(* (pow a 2) (- a 4))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* (pow a 2) (- a 4))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* (pow a 2) (- a 4))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(pow a 3)
(*.f64 a (*.f64 a a))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* (pow a 3) (- 1 (* 4 (/ 1 a))))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(pow a 3)
(*.f64 a (*.f64 a a))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* -1 (* (pow a 3) (- (* 4 (/ 1 a)) 1)))
(*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64))))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* a (- a 4))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* a (- a 4))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* a (- a 4))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
(* (pow a 2) (- 1 (* 4 (/ 1 a))))
(*.f64 a (+.f64 a #s(literal -4 binary64)))
-4
#s(literal -4 binary64)
(- a 4)
(+.f64 a #s(literal -4 binary64))
(- a 4)
(+.f64 a #s(literal -4 binary64))
(- a 4)
(+.f64 a #s(literal -4 binary64))
a
(* a (- 1 (* 4 (/ 1 a))))
(+.f64 a #s(literal -4 binary64))
(* a (- 1 (* 4 (/ 1 a))))
(+.f64 a #s(literal -4 binary64))
(* a (- 1 (* 4 (/ 1 a))))
(+.f64 a #s(literal -4 binary64))
a
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(+.f64 a #s(literal -4 binary64))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(+.f64 a #s(literal -4 binary64))
(* -1 (* a (- (* 4 (/ 1 a)) 1)))
(+.f64 a #s(literal -4 binary64))
12
#s(literal 12 binary64)
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(+ 12 (pow b 2))
(fma.f64 b b #s(literal 12 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
(* (pow b 2) (+ 1 (* 12 (/ 1 (pow b 2)))))
(fma.f64 b b #s(literal 12 binary64))
-1
#s(literal -1 binary64)
(- (* 12 (pow b 2)) 1)
(fma.f64 #s(literal 12 binary64) (*.f64 b b) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(- (* (pow b 2) (+ 12 (pow b 2))) 1)
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(pow b 4)
(*.f64 b (*.f64 b (*.f64 b b)))
(* (pow b 4) (+ 1 (* 12 (/ 1 (pow b 2)))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(* (pow b 4) (- (+ 1 (* 12 (/ 1 (pow b 2)))) (/ 1 (pow b 4))))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/144 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/144 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* (pow b 2) (- (* 1/1728 (pow b 2)) 1/144)))
(fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/1728 binary64)) #s(literal -1/144 binary64))) #s(literal 1/12 binary64))
(+ 1/12 (* (pow b 2) (- (* (pow b 2) (+ 1/1728 (* -1/20736 (pow b 2)))) 1/144)))
(fma.f64 (*.f64 b b) (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/20736 binary64)) #s(literal 1/1728 binary64))) #s(literal -1/144 binary64)) #s(literal 1/12 binary64))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal -12 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1728 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 b b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(/ (- 1 (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (*.f64 b b))
(/ (- (+ 1 (/ 144 (pow b 4))) (* 12 (/ 1 (pow b 2)))) (pow b 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 b b))) (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b))))) (*.f64 b b))
(/ (- (+ 1 (/ 144 (pow b 4))) (+ (* 12 (/ 1 (pow b 2))) (* 1728 (/ 1 (pow b 6))))) (pow b 2))
(/.f64 (+.f64 (/.f64 #s(literal -12 binary64) (*.f64 b b)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 144 binary64) (*.f64 b (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1728 binary64) (*.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b)))))))) (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))
(pow b 3)
(*.f64 b (*.f64 b b))

eval101.0ms (1.1%)

Memory
20.3MiB live, 172.9MiB allocated
Compiler

Compiled 20 583 to 2 141 computations (89.6% saved)

prune95.0ms (1%)

Memory
-17.1MiB live, 185.0MiB allocated
Pruning

19 alts after pruning (10 fresh and 9 done)

PrunedKeptTotal
New8586864
Fresh246
Picked325
Done178
Total86419883
Accuracy
100.0%
Counts
883 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (*.f64 b b)) #s(literal -1 binary64))
72.5%
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
71.8%
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
70.2%
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
42.1%
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
55.9%
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
53.7%
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
44.2%
(pow.f64 a #s(literal 4 binary64))
32.0%
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))
44.2%
(*.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a a))
46.6%
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
44.2%
(*.f64 (*.f64 a a) (*.f64 a a))
46.4%
(*.f64 b (*.f64 b (*.f64 b b)))
44.5%
(*.f64 a (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)))
44.5%
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
44.2%
(*.f64 a (*.f64 a (*.f64 a a)))
28.3%
(*.f64 #s(literal 12 binary64) (*.f64 b b))
30.2%
(*.f64 #s(literal 4 binary64) (*.f64 a a))
27.0%
#s(literal -1 binary64)
Compiler

Compiled 722 to 238 computations (67% saved)

regimes43.0ms (0.5%)

Memory
22.1MiB live, 68.6MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(*.f64 a (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))) #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64)))))) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))))) (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (*.f64 (+.f64 a b) (-.f64 a b)))))
Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
Calls

5 calls:

9.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
8.0ms
b
8.0ms
a
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
8.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
98.4%3a
96.9%2b
98.4%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
98.4%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
96.9%2(*.f64 b b)
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes16.0ms (0.2%)

Memory
-19.4MiB live, 20.0MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(*.f64 a (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))) #s(literal -1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(pow.f64 a #s(literal 4 binary64))
(fma.f64 (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 (+.f64 a b) (-.f64 a b)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a b) (-.f64 a b))) (fma.f64 #s(literal 4 binary64) (fma.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a) (*.f64 b (*.f64 b (+.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64)))
Outputs
(-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
Calls

2 calls:

8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
7.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.4%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
98.4%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 60 to 35 computations (41.7% saved)

regimes28.0ms (0.3%)

Memory
-7.6MiB live, 30.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(*.f64 a (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 #s(literal 4 binary64) (neg.f64 a) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal -12 binary64))) (*.f64 (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)) (*.f64 b b)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal -12 binary64)) (fma.f64 b (*.f64 b (*.f64 b b)) #s(literal -144 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 b b) (*.f64 (*.f64 b (fma.f64 b b #s(literal 12 binary64))) (*.f64 b (fma.f64 b b #s(literal 12 binary64)))) #s(literal -1 binary64)) (fma.f64 b (*.f64 b (fma.f64 b b #s(literal 12 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 b b) (*.f64 (fma.f64 (*.f64 b b) (*.f64 b (*.f64 b (*.f64 b b))) #s(literal 1728 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 b b) (*.f64 b b) #s(literal 144 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64))))) #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
Calls

4 calls:

8.0ms
b
7.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
6.0ms
(*.f64 b b)
6.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
96.9%2b
96.9%2(*.f64 b b)
81.5%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
81.5%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes16.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a (+.f64 a #s(literal -4 binary64)))))
(*.f64 a (*.f64 (+.f64 a #s(literal -4 binary64)) (*.f64 a a)))
(*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64))))
Outputs
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64))
Calls

3 calls:

5.0ms
b
5.0ms
a
5.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
97.7%3a
96.5%2b
96.5%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes14.0ms (0.2%)

Memory
-23.4MiB live, 16.3MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
Calls

3 calls:

5.0ms
a
4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
85.2%3a
96.1%2b
96.1%2(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
(*.f64 b (*.f64 b (*.f64 b b)))
(*.f64 (*.f64 a a) (*.f64 a a))
(*.f64 a (*.f64 a (fma.f64 a a #s(literal 4 binary64))))
(*.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)))
(*.f64 (fma.f64 a a #s(literal 4 binary64)) (*.f64 a a))
(fma.f64 (*.f64 a a) (fma.f64 a #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 b (*.f64 b (*.f64 b b)))
Calls

2 calls:

4.0ms
b
4.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
86.9%2b
86.9%2(*.f64 b b)
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Outputs
(*.f64 a (*.f64 a (*.f64 a a)))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 a (*.f64 a (*.f64 a a)))
Calls

3 calls:

3.0ms
b
3.0ms
a
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
85.2%3a
77.8%3b
77.8%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes13.0ms (0.1%)

Memory
-26.0MiB live, 17.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 b b) #s(literal 12 binary64) #s(literal -1 binary64))
Outputs
(fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
Calls

5 calls:

3.0ms
b
2.0ms
a
2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
74.3%2b
74.3%2(*.f64 b b)
63.7%2(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
63.7%2(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
74.4%3a
Compiler

Compiled 71 to 42 computations (40.8% saved)

regimes6.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
Outputs
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
Calls

3 calls:

2.0ms
a
2.0ms
b
2.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
74.4%3a
61.4%3b
61.4%3(*.f64 b b)
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
(*.f64 #s(literal 12 binary64) (*.f64 b b))
Outputs
#s(literal -1 binary64)
(*.f64 #s(literal 12 binary64) (*.f64 b b))
(*.f64 #s(literal 4 binary64) (*.f64 a a))
Calls

3 calls:

2.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
2.0ms
a
2.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
63.9%3(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
63.9%3(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
60.4%5a
Compiler

Compiled 63 to 37 computations (41.3% saved)

regimes6.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
Outputs
#s(literal -1 binary64)
(*.f64 #s(literal 4 binary64) (*.f64 a a))
Calls

4 calls:

2.0ms
b
1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
43.2%2b
43.2%2(*.f64 b b)
56.0%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 3 binary64) a))))) #s(literal 1 binary64))
56.0%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 3 binary64) a)))))
Compiler

Compiled 68 to 40 computations (41.2% saved)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

5 calls:

1.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
1.0ms
a
1.0ms
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
1.0ms
b
1.0ms
(*.f64 b b)
Results
AccuracySegmentsBranch
27.0%1(*.f64 b b)
27.0%1b
27.0%1a
27.0%1(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64))
27.0%1(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a)))))
Compiler

Compiled 71 to 42 computations (40.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.082112644175614e-8
4.260844866450168
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.082112644175614e-8
4.260844866450168
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9809662702045418.0
89395752799360600.0
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9809662702045418.0
89395752799360600.0
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch28.0ms (0.3%)

Memory
-19.2MiB live, 18.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4689566022346917.0
34435456269821988.0
14.0ms
-3625667.106243308
-401333.4786540974
Samples
19.0ms192×0valid
Compiler

Compiled 262 to 178 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (53.4% of total)
ival-add: 3.0ms (20% of total)
ival-pow2: 2.0ms (13.4% of total)
ival-sub: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.8525523384134705e+300
+inf
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch46.0ms (0.5%)

Memory
-7.7MiB live, 27.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
1.569079240337368e+149
2.6506927854823855e+154
18.0ms
-4.718260920063962e+115
-8.027506206208125e+101
Samples
25.0ms304×0valid
Compiler

Compiled 357 to 269 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (44.4% of total)
ival-add: 5.0ms (27.8% of total)
ival-sub: 2.0ms (11.1% of total)
ival-pow2: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.4645292257991079e-8
69.28493737335677
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4645292257991079e-8
69.28493737335677
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify12.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative_binary64
24×+-commutative_binary64
10×sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076402
1108402
2115402
3124402
4125402
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -820000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 4800000000000000 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
(if (<=.f64 a #s(literal -46000000000000000715733141955474779116337264258368825935009446699818353933578762350189327936092182593105488919920640 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a)) (if (<=.f64 a #s(literal 4100000000000000166370594394612757936471915315781835128850914273257996774897279314078262995541606883973462537629643216283294613869656419788917580257820672 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
#s(literal -1 binary64)
Outputs
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(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 a #s(literal 3 binary64)))))) #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 a #s(literal 3 binary64)))))) #s(literal -1 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (-.f64 (+.f64 (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b)))) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 1 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(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 a #s(literal 3 binary64)))))) #s(literal +inf.0 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 a #s(literal 3 binary64))))) (/.f64 (fma.f64 a a (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b b))))) #s(literal -1 binary64)) (*.f64 a (*.f64 a (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)))))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a (+.f64 a #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 944473296573929/18889465931478580854784 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 b b) (fma.f64 b b #s(literal 12 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (*.f64 a a) (fma.f64 a a #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 (*.f64 b b) #s(literal 10000000000000000 binary64)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 b (*.f64 b (*.f64 b b))))
(if (<=.f64 a #s(literal -820000 binary64)) (*.f64 a (*.f64 a (*.f64 a a))) (if (<=.f64 a #s(literal 4800000000000000 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 a (*.f64 a (*.f64 a a)))))
(if (<=.f64 (*.f64 b b) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)))
(if (<=.f64 (*.f64 b b) #s(literal 2000000000000000105009520510408840497408937162216318309831708231023604915977816391572742750160895728087408887665767756353885046470720861151289584369573413965696774401853151607475660467589576180118737906469941599890162238077935281760149305485560284989158517577640113685676231338944392773730918801080320 binary64)) (fma.f64 (*.f64 a a) #s(literal 4 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64)))
(if (<=.f64 a #s(literal -46000000000000000715733141955474779116337264258368825935009446699818353933578762350189327936092182593105488919920640 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a)) (if (<=.f64 a #s(literal 4100000000000000166370594394612757936471915315781835128850914273257996774897279314078262995541606883973462537629643216283294613869656419788917580257820672 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(if (<=.f64 a #s(literal -46000000000000000715733141955474779116337264258368825935009446699818353933578762350189327936092182593105488919920640 binary64)) (*.f64 (*.f64 a a) #s(literal 4 binary64)) (if (<=.f64 a #s(literal 4100000000000000166370594394612757936471915315781835128850914273257996774897279314078262995541606883973462537629643216283294613869656419788917580257820672 binary64)) (fma.f64 b (*.f64 b #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 a a) #s(literal 4 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal +inf.0 binary64)) (*.f64 #s(literal 12 binary64) (*.f64 b b)) (*.f64 #s(literal 4 binary64) (*.f64 a a))))
(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 a #s(literal 3 binary64)))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (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 a #s(literal 3 binary64)))))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 b b) #s(literal 12 binary64)) (*.f64 (*.f64 a a) #s(literal 4 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (+.f64 (*.f64 (*.f64 a a) (-.f64 #s(literal 1 binary64) a)) (*.f64 (*.f64 b b) (+.f64 #s(literal 3 binary64) a))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 a a)))
(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 a #s(literal 3 binary64)))))) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 a a) #s(literal 4 binary64)))
#s(literal -1 binary64)

soundness1.0s (10.9%)

Memory
13.1MiB live, 100.0MiB allocated
Rules
19 992×accelerator-lowering-fma.f32
19 992×accelerator-lowering-fma.f64
18 472×accelerator-lowering-fma.f32
18 472×accelerator-lowering-fma.f64
10 720×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02983227
19043155
226973061
081042886
062514
1192514
2541506
31855490
45752490
08095439
0931032
12451032
26381028
320191028
454531028
08190962
01894
112894
2123394
0828381
01912222
15992169
218452105
357612012
084751830
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 904 to 391 computations (56.7% saved)

preprocess106.0ms (1.2%)

Memory
-23.3MiB live, 53.9MiB allocated
Remove

(abs b)

Compiler

Compiled 1 032 to 242 computations (76.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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