Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, D

Time bar (total: 8.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 15 to 12 computations (20% saved)

sample809.0ms (10.1%)

Memory
32.1MiB live, 1 244.4MiB allocated
Samples
586.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 430.0ms
ival-mult: 296.0ms (68.8% of total)
ival-sub: 70.0ms (16.3% of total)
ival-add: 45.0ms (10.5% of total)
exact: 11.0ms (2.6% of total)
ival-true: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess158.0ms (2%)

Memory
-2.3MiB live, 102.0MiB allocated
Algorithm
egg-herbie
Rules
1 544×accelerator-lowering-fma.f32
1 544×accelerator-lowering-fma.f64
624×*-lowering-*.f32
624×*-lowering-*.f64
284×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
16835
219033
363327
4140327
5192827
6208127
7210727
8210927
9210927
10211327
01013
13111
26511
31529
42709
53729
65829
79259
812269
912979
1013349
1113409
1213409
013407
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
Outputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
Call 2
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1))
(neg (* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1)))
Outputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(+ 3 (* x (+ -12 (* x 9))))
(* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1))
(- 3 (* x (- -12 (* x 9))))
(neg (* 3 (+ (- (* (* (neg x) 3) (neg x)) (* (neg x) 4)) 1)))
(+ -3 (* x (- -12 (* x 9))))

explain145.0ms (1.8%)

Memory
0.8MiB live, 271.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) x)
00-0-(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 4 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-(*.f64 x #s(literal 4 binary64))
00-0-(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
00-0-x
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 13.0ms (68.9% of total)
ival-sub: 2.0ms (10.6% of total)
ival-add: 2.0ms (10.6% of total)
exact: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify75.0ms (0.9%)

Memory
-19.3MiB live, 98.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
cost-diff192
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff320
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
cost-diff576
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Rules
1 544×accelerator-lowering-fma.f32
1 544×accelerator-lowering-fma.f64
624×*-lowering-*.f32
624×*-lowering-*.f64
256×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
13142
26542
315240
427040
537240
658240
792540
8122640
9129740
10133440
11134040
12134040
0134035
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
3
(+ (- (* (* x 3) x) (* x 4)) 1)
(- (* (* x 3) x) (* x 4))
(* (* x 3) x)
(* x 3)
x
(* x 4)
4
1
Outputs
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (- (* (* x 3) x) (* x 4)) 1)
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(- (* (* x 3) x) (* x 4))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 0 binary64))
(* (* x 3) x)
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
(* x 3)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
x
(* x 4)
(fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))
4
#s(literal 4 binary64)
1
#s(literal 1 binary64)

localize27.0ms (0.3%)

Memory
22.2MiB live, 61.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy100.0%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Samples
16.0ms256×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.8% of total)
ival-sub: 2.0ms (20.9% of total)
ival-add: 1.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (- (* (* x 3) x) (* x 4))>
#<alt (* 3 (+ (- (* (* x 3) x) (* x 4)) 1))>
#<alt (+ (- (* (* x 3) x) (* x 4)) 1)>
#<alt (* (* x 3) x)>
#<alt (* x 3)>
Outputs
#<alt (* -4 x)>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- (* (* x 3) x) (* x 4))
0.0ms
x
@0
(- (* (* x 3) x) (* x 4))
0.0ms
x
@inf
(* (* x 3) x)
0.0ms
x
@-inf
(* x 3)
0.0ms
x
@0
(* x 3)

rewrite702.0ms (8.8%)

Memory
-33.4MiB live, 693.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 226×accelerator-lowering-fma.f32
8 226×accelerator-lowering-fma.f64
4 388×*-lowering-*.f32
4 388×*-lowering-*.f64
2 760×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
15535
244535
3738035
0861730
Stop Event
iter limit
node limit
Counts
5 → 343
Calls
Call 1
Inputs
(- (* (* x 3) x) (* x 4))
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(+ (- (* (* x 3) x) (* x 4)) 1)
(* (* x 3) x)
(* x 3)
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal -4 binary64)))
(+.f64 (*.f64 x #s(literal -4 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(-.f64 (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 4 binary64)))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -4 binary64)))
(fma.f64 x #s(literal -4 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x #s(literal -4 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 x #s(literal -4 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 4 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3/2 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 16 binary64)))))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 16 binary64))) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))))
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(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x))))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 #s(literal 9 binary64) (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (*.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (fma.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal -1 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))))) (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify499.0ms (6.2%)

Memory
7.3MiB live, 408.1MiB allocated
Algorithm
egg-herbie
Rules
6 316×accelerator-lowering-fma.f32
6 316×accelerator-lowering-fma.f64
2 456×*-lowering-*.f32
2 456×*-lowering-*.f64
1 484×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051344
1137344
2323344
3753344
41956340
54214340
65944340
77664340
08049301
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* -4 x)
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* x (- (* 3 x) 4))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
(* -4 x)
(fma.f64 #s(literal -4 binary64) x #s(literal 0 binary64))
(* x (- (* 3 x) 4))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* x (- (* 3 x) 4))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* x (- (* 3 x) 4))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))

eval48.0ms (0.6%)

Memory
-3.0MiB live, 113.2MiB allocated
Compiler

Compiled 13 055 to 1 148 computations (91.2% saved)

prune49.0ms (0.6%)

Memory
19.7MiB live, 140.9MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New39310403
Fresh000
Picked101
Done000
Total39410404
Accuracy
100.0%
Counts
404 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
99.8%
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
99.9%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
99.8%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
99.9%
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
45.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
62.7%
(/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal 9 binary64) #s(literal -9 binary64)) (fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -3 binary64)))
62.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
99.8%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
44.5%
#s(literal 3 binary64)
Compiler

Compiled 240 to 144 computations (40% saved)

simplify23.0ms (0.3%)

Memory
-15.3MiB live, 23.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff320
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
cost-diff320
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
cost-diff320
(*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff0
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
cost-diff0
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff320
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
Rules
150×accelerator-lowering-fma.f32
150×accelerator-lowering-fma.f64
84×*-lowering-*.f32
84×*-lowering-*.f64
56×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02390
15790
29090
311890
413690
013676
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (* x x) 9) (+ (* x -12) 3))
(* x x)
x
9
(+ (* x -12) 3)
-12
3
3
(+ (* x (+ (* x 9) -12)) 3)
x
(+ (* x 9) -12)
9
-12
3
(* (+ (* x (+ (* x 3) -4)) 1) 3)
(+ (* x (+ (* x 3) -4)) 1)
x
(+ (* x 3) -4)
3
-4
1
(+ (* (* (* x 3) 3) x) (+ (* x -12) 3))
(* (* x 3) 3)
(* x 3)
x
3
(+ (* x -12) 3)
-12
Outputs
(+ (* (* x x) 9) (+ (* x -12) 3))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
(+ (* x -12) 3)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
3
#s(literal 3 binary64)
(+ (* x (+ (* x 9) -12)) 3)
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(+ (* x 9) -12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
(* (+ (* x (+ (* x 3) -4)) 1) 3)
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ (* x (+ (* x 3) -4)) 1)
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
x
(+ (* x 3) -4)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
3
#s(literal 3 binary64)
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(+ (* (* (* x 3) 3) x) (+ (* x -12) 3))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (* x 3) 3)
(*.f64 x #s(literal 9 binary64))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ (* x -12) 3)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
-12
#s(literal -12 binary64)

localize109.0ms (1.4%)

Memory
-12.0MiB live, 156.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.9%
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
accuracy99.6%
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy99.8%
(fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64))
accuracy99.8%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
accuracy100.0%
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
accuracy100.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
Samples
37.0ms222×0valid
6.0ms20×1valid
6.0ms14×2valid
Compiler

Compiled 88 to 25 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 20.0ms (64.8% of total)
ival-add: 9.0ms (29.2% of total)
adjust: 1.0ms (3.2% of total)
exact: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ (* (* x x) 9) (+ (* x -12) 3))>
#<alt (* x x)>
#<alt (+ (* x -12) 3)>
#<alt (+ (* x (+ (* x 9) -12)) 3)>
#<alt (+ (* x 9) -12)>
#<alt (* (+ (* x (+ (* x 3) -4)) 1) 3)>
#<alt (+ (* x (+ (* x 3) -4)) 1)>
#<alt (+ (* x 3) -4)>
#<alt (+ (* (* (* x 3) 3) x) (+ (* x -12) 3))>
#<alt (* (* x 3) 3)>
#<alt (* x 3)>
Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt -4>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* x (+ (* x 9) -12)) 3)
0.0ms
x
@-inf
(* (* x 3) 3)
0.0ms
x
@inf
(* (* x 3) 3)
0.0ms
x
@0
(+ (* (* x x) 9) (+ (* x -12) 3))
0.0ms
x
@0
(+ (* x (+ (* x 9) -12)) 3)

rewrite425.0ms (5.3%)

Memory
0.4MiB live, 701.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 796×accelerator-lowering-fma.f32
6 796×accelerator-lowering-fma.f64
5 124×*-lowering-*.f32
5 124×*-lowering-*.f64
4 324×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
114971
2103371
0819258
Stop Event
iter limit
node limit
Counts
11 → 533
Calls
Call 1
Inputs
(+ (* (* x x) 9) (+ (* x -12) 3))
(* x x)
(+ (* x -12) 3)
(+ (* x (+ (* x 9) -12)) 3)
(+ (* x 9) -12)
(* (+ (* x (+ (* x 3) -4)) 1) 3)
(+ (* x (+ (* x 3) -4)) 1)
(+ (* x 3) -4)
(+ (* (* (* x 3) 3) x) (+ (* x -12) 3))
(* (* x 3) 3)
(* x 3)
Outputs
(+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x #s(literal -12 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))))
(fma.f64 x #s(literal -12 binary64) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64))))))
(fma.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 144 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal 36 binary64)))) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(*.f64 (fma.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))))))
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(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -3 binary64))))))
(*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (*.f64 x #s(literal 12 binary64)))))
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(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)

simplify245.0ms (3.1%)

Memory
45.2MiB live, 394.4MiB allocated
Algorithm
egg-herbie
Rules
5 714×accelerator-lowering-fma.f32
5 714×accelerator-lowering-fma.f64
2 594×*-lowering-*.f32
2 594×*-lowering-*.f64
1 168×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063704
1170704
2430704
31080684
42714684
54873684
67160684
08069582
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
1
(+ 1 (* -4 x))
(+ 1 (* x (- (* 3 x) 4)))
(+ 1 (* x (- (* 3 x) 4)))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(* 3 (pow x 2))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(fma.f64 x #s(literal -12 binary64) #s(literal 0 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(fma.f64 x #s(literal -12 binary64) #s(literal 0 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(fma.f64 x #s(literal -4 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* 3 x) 4)))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* 3 (pow x 2))
(fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)) #s(literal 1 binary64))
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(- (* 3 x) 4)
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(- (* 3 x) 4)
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))

eval125.0ms (1.6%)

Memory
-38.9MiB live, 137.5MiB allocated
Compiler

Compiled 20 326 to 1 208 computations (94.1% saved)

prune53.0ms (0.7%)

Memory
12.6MiB live, 133.6MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New7144718
Fresh325
Picked145
Done000
Total71810728
Accuracy
100.0%
Counts
728 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.3%
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
99.9%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
96.6%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
99.8%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
99.9%
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
67.5%
(fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))))) #s(literal 3 binary64))
99.9%
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
45.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
99.8%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
44.5%
#s(literal 3 binary64)
Compiler

Compiled 172 to 122 computations (29.1% saved)

simplify25.0ms (0.3%)

Memory
2.0MiB live, 39.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x)
cost-diff320
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff320
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
cost-diff0
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
cost-diff128
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
Rules
470×accelerator-lowering-fma.f32
470×accelerator-lowering-fma.f64
388×*-lowering-*.f32
388×*-lowering-*.f64
214×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029119
168117
2137117
3245117
4460117
5534117
6540117
7543117
0543102
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x (+ (* x 9) -12)) 3)
x
(+ (* x 9) -12)
(* x 9)
9
-12
3
(+ (* x -12) 3)
x
-12
3
(+ (* (* x x) 9) 3)
(* x x)
x
9
3
(+ (* (* x 3) (+ (* x 3) -4)) 3)
(* x 3)
x
3
(+ (* x 3) -4)
-4
(+ (* (* (+ (* (* x x) 81) -144) x) (/ 1 (+ (* x 9) 12))) 3)
(* (+ (* (* x x) 81) -144) x)
(+ (* (* x x) 81) -144)
(* x x)
x
81
-144
(/ 1 (+ (* x 9) 12))
1
(+ (* x 9) 12)
9
12
3
Outputs
(+ (* x (+ (* x 9) -12)) 3)
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(+ (* x 9) -12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
(+ (* x -12) 3)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
(+ (* (* x x) 9) 3)
(fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
3
#s(literal 3 binary64)
(+ (* (* x 3) (+ (* x 3) -4)) 3)
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ (* x 3) -4)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(+ (* (* (+ (* (* x x) 81) -144) x) (/ 1 (+ (* x 9) 12))) 3)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(* (+ (* (* x x) 81) -144) x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)))
(+ (* (* x x) 81) -144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* x x)
(*.f64 x x)
x
81
#s(literal 81 binary64)
-144
#s(literal -144 binary64)
(/ 1 (+ (* x 9) 12))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
1
#s(literal 1 binary64)
(+ (* x 9) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))
9
#s(literal 9 binary64)
12
#s(literal 12 binary64)
3
#s(literal 3 binary64)

localize92.0ms (1.2%)

Memory
16.7MiB live, 211.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))
accuracy99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
accuracy93.8%
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.8%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
accuracy100.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy100.0%
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
accuracy99.9%
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
Samples
38.0ms212×0valid
12.0ms26×1valid
8.0ms15×2valid
2.0ms3valid
Compiler

Compiled 110 to 31 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 21.0ms (51.4% of total)
ival-add: 15.0ms (36.7% of total)
ival-div: 2.0ms (4.9% of total)
adjust: 2.0ms (4.9% of total)
exact: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-25.4MiB live, 12.3MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (+ (* x 9) -12)>
#<alt (+ (* x (+ (* x 9) -12)) 3)>
#<alt (* x 9)>
#<alt (+ (* x -12) 3)>
#<alt (+ (* (* x x) 9) 3)>
#<alt (* x x)>
#<alt (+ (* (* x 3) (+ (* x 3) -4)) 3)>
#<alt (* x 3)>
#<alt (+ (* x 3) -4)>
#<alt (+ (* (* (+ (* (* x x) 81) -144) x) (/ 1 (+ (* x 9) 12))) 3)>
#<alt (* (+ (* (* x x) 81) -144) x)>
#<alt (+ (* (* x x) 81) -144)>
#<alt (/ 1 (+ (* x 9) 12))>
Outputs
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt -4>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* -144 x)>
#<alt (* x (- (* 81 (pow x 2)) 144))>
#<alt (* x (- (* 81 (pow x 2)) 144))>
#<alt (* x (- (* 81 (pow x 2)) 144))>
#<alt (* 81 (pow x 3))>
#<alt (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))>
#<alt (* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))>
#<alt -144>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt 1/12>
#<alt (+ 1/12 (* -1/16 x))>
#<alt (+ 1/12 (* x (- (* 3/64 x) 1/16)))>
#<alt (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16)))>
#<alt (/ 1/9 x)>
#<alt (/ (- 1/9 (* 4/27 (/ 1 x))) x)>
#<alt (/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x)>
#<alt (/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x))>
Calls

39 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+ (* (* x x) 9) 3)
1.0ms
x
@-inf
(+ (* (* (+ (* (* x x) 81) -144) x) (/ 1 (+ (* x 9) 12))) 3)
0.0ms
x
@inf
(+ (* (* (+ (* (* x x) 81) -144) x) (/ 1 (+ (* x 9) 12))) 3)
0.0ms
x
@0
(+ (* (* (+ (* (* x x) 81) -144) x) (/ 1 (+ (* x 9) 12))) 3)
0.0ms
x
@inf
(* (+ (* (* x x) 81) -144) x)

rewrite726.0ms (9.1%)

Memory
-82.4MiB live, 969.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 660×accelerator-lowering-fma.f32
9 660×accelerator-lowering-fma.f64
4 146×*-lowering-*.f32
4 146×*-lowering-*.f64
3 528×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02981
118281
2157981
0851068
Stop Event
iter limit
node limit
Counts
13 → 648
Calls
Call 1
Inputs
(+ (* x 9) -12)
(+ (* x (+ (* x 9) -12)) 3)
(* x 9)
(+ (* x -12) 3)
(+ (* (* x x) 9) 3)
(* x x)
(+ (* (* x 3) (+ (* x 3) -4)) 3)
(* x 3)
(+ (* x 3) -4)
(+ (* (* (+ (* (* x x) 81) -144) x) (/ 1 (+ (* x 9) 12))) 3)
(* (+ (* (* x x) 81) -144) x)
(+ (* (* x x) 81) -144)
(/ 1 (+ (* x 9) 12))
Outputs
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(+.f64 #s(literal -12 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 #s(literal -12 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -12 binary64))
(+.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -12 binary64))
(-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 20736 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))) (/.f64 #s(literal 1728 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)) (*.f64 x #s(literal 108 binary64)))))
(-.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal -12 binary64))))
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64) #s(literal -12 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 #s(literal 81 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 (*.f64 x #s(literal 81 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (/.f64 (*.f64 x #s(literal 81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)) (*.f64 x #s(literal -108 binary64))))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal 1728 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal 144 binary64)) (*.f64 x #s(literal -108 binary64))))) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
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simplify416.0ms (5.2%)

Memory
-9.6MiB live, 508.7MiB allocated
Algorithm
egg-herbie
Rules
8 348×accelerator-lowering-fma.f32
8 348×accelerator-lowering-fma.f64
2 704×*-lowering-*.f32
2 704×*-lowering-*.f64
2 212×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123882
1338874
2810874
31988858
44837858
08054753
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
3
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
-4
(- (* 3 x) 4)
(- (* 3 x) 4)
(- (* 3 x) 4)
(* 3 x)
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* x (- 3 (* 4 (/ 1 x))))
(* 3 x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -144 x)
(* x (- (* 81 (pow x 2)) 144))
(* x (- (* 81 (pow x 2)) 144))
(* x (- (* 81 (pow x 2)) 144))
(* 81 (pow x 3))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 3))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
1/12
(+ 1/12 (* -1/16 x))
(+ 1/12 (* x (- (* 3/64 x) 1/16)))
(+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16)))
(/ 1/9 x)
(/ (- 1/9 (* 4/27 (/ 1 x))) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x)
(/ 1/9 x)
(* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x))
(* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x))
Outputs
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(- (* 9 x) 12)
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
(* 9 x)
(fma.f64 #s(literal 9 binary64) x #s(literal 0 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(fma.f64 x #s(literal -12 binary64) #s(literal 0 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -12 x)
(fma.f64 x #s(literal -12 binary64) #s(literal 0 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(- (* 3 x) 4)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(- (* 3 x) 4)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(* 3 x)
(fma.f64 x #s(literal 3 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)) #s(literal 3 binary64))
(* -144 x)
(fma.f64 x #s(literal -144 binary64) #s(literal 0 binary64))
(* x (- (* 81 (pow x 2)) 144))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* x (- (* 81 (pow x 2)) 144))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* x (- (* 81 (pow x 2)) 144))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* 81 (pow x 3))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* 81 (pow x 3))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 0 binary64))
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
1/12
#s(literal 1/12 binary64)
(+ 1/12 (* -1/16 x))
(fma.f64 x #s(literal -1/16 binary64) #s(literal 1/12 binary64))
(+ 1/12 (* x (- (* 3/64 x) 1/16)))
(fma.f64 x (fma.f64 x #s(literal 3/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/12 binary64))
(+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/256 binary64) #s(literal 3/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/12 binary64))
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ (- 1/9 (* 4/27 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x)) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal -16/81 binary64) x)) x)) x)
(/ (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x)) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (- (* 4/27 (/ 1 x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 16/81 (/ 1 x)) 4/27) x)) 1/9) x))
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 #s(literal 4/27 binary64) (/.f64 #s(literal -16/81 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 64/243 (/ 1 x)) 16/81) x)) 4/27) x)) 1/9) x))
(/.f64 (+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x)) x)

eval99.0ms (1.2%)

Memory
31.6MiB live, 221.7MiB allocated
Compiler

Compiled 18 234 to 1 412 computations (92.3% saved)

prune65.0ms (0.8%)

Memory
-21.9MiB live, 176.7MiB allocated
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New8157822
Fresh101
Picked235
Done134
Total81913832
Accuracy
100.0%
Counts
832 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
49.2%
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))
96.5%
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
99.9%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
96.6%
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
99.8%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
96.5%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
99.9%
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
99.9%
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
45.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
56.5%
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
45.0%
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
44.5%
#s(literal 3 binary64)
Compiler

Compiled 178 to 122 computations (31.5% saved)

simplify12.0ms (0.1%)

Memory
30.6MiB live, 30.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff320
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
cost-diff0
(*.f64 x #s(literal -12 binary64))
cost-diff128
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
cost-diff0
(/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
cost-diff0
(*.f64 x #s(literal 81 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
cost-diff0
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
Rules
200×accelerator-lowering-fma.f32
200×accelerator-lowering-fma.f64
160×*-lowering-*.f32
160×*-lowering-*.f64
60×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02692
15392
27792
312992
416792
517892
618592
018583
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (+ (* x (* x 81)) -144) (/ x (+ (* x 9) 12))) 3)
(+ (* x (* x 81)) -144)
x
(* x 81)
81
-144
(/ x (+ (* x 9) 12))
(+ (* x 9) 12)
9
12
3
(+ (* x -12) 3)
(* x -12)
x
-12
3
(+ (* 9 (* x x)) 0)
9
(* x x)
x
0
(+ (* (* x 9) x) 3)
(* x 9)
x
9
3
(+ (* (* x 3) (* x 3)) 3)
(* x 3)
x
3
Outputs
(+ (* (+ (* x (* x 81)) -144) (/ x (+ (* x 9) 12))) 3)
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(+ (* x (* x 81)) -144)
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
x
(* x 81)
(*.f64 x #s(literal 81 binary64))
81
#s(literal 81 binary64)
-144
#s(literal -144 binary64)
(/ x (+ (* x 9) 12))
(/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
(+ (* x 9) 12)
(fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))
9
#s(literal 9 binary64)
12
#s(literal 12 binary64)
3
#s(literal 3 binary64)
(+ (* x -12) 3)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(* x -12)
(*.f64 x #s(literal -12 binary64))
x
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
(+ (* 9 (* x x)) 0)
(fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 0 binary64))
9
#s(literal 9 binary64)
(* x x)
(*.f64 x x)
x
0
#s(literal 0 binary64)
(+ (* (* x 9) x) 3)
(fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))
(* x 9)
(*.f64 x #s(literal 9 binary64))
x
9
#s(literal 9 binary64)
3
#s(literal 3 binary64)
(+ (* (* x 3) (* x 3)) 3)
(fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)

localize117.0ms (1.5%)

Memory
4.5MiB live, 159.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.8%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy99.9%
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
accuracy100.0%
(*.f64 x #s(literal -12 binary64))
accuracy99.8%
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 81 binary64))
accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))
accuracy99.8%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
accuracy99.3%
(/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))
Samples
41.0ms23×1valid
34.0ms221×0valid
16.0ms12×2valid
Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-add: 56.0ms (72.9% of total)
ival-mult: 17.0ms (22.1% of total)
ival-div: 2.0ms (2.6% of total)
adjust: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-30.5MiB live, 7.9MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (+ (* (+ (* x (* x 81)) -144) (/ x (+ (* x 9) 12))) 3)>
#<alt (+ (* x (* x 81)) -144)>
#<alt (* x 81)>
#<alt (/ x (+ (* x 9) 12))>
#<alt (+ (* x -12) 3)>
#<alt (* x -12)>
#<alt (+ (* 9 (* x x)) 0)>
#<alt (* x x)>
#<alt (+ (* (* x 9) x) 3)>
#<alt (* x 9)>
#<alt (+ (* (* x 3) (* x 3)) 3)>
#<alt (* x 3)>
Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt -144>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (- (* 81 (pow x 2)) 144)>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* 81 (pow x 2))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 81 x)>
#<alt (* 1/12 x)>
#<alt (* x (+ 1/12 (* -1/16 x)))>
#<alt (* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))>
#<alt (* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))>
#<alt 1/9>
#<alt (- 1/9 (* 4/27 (/ 1 x)))>
#<alt (- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))>
#<alt (- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))>
#<alt 1/9>
#<alt (- 1/9 (* 4/27 (/ 1 x)))>
#<alt (+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))>
#<alt (+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) x)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 3>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt 3>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+ (* 9 (* x x)) 0)
0.0ms
x
@inf
(* x -12)
0.0ms
x
@-inf
(* x 81)
0.0ms
x
@inf
(* x 81)
0.0ms
x
@-inf
(* x -12)

rewrite583.0ms (7.3%)

Memory
-31.2MiB live, 921.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 166×accelerator-lowering-fma.f32
10 166×accelerator-lowering-fma.f64
4 546×*-lowering-*.f32
4 546×*-lowering-*.f64
4 346×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02670
115470
2111065
0835158
Stop Event
iter limit
node limit
Counts
12 → 1 401
Calls
Call 1
Inputs
(+ (* (+ (* x (* x 81)) -144) (/ x (+ (* x 9) 12))) 3)
(+ (* x (* x 81)) -144)
(* x 81)
(/ x (+ (* x 9) 12))
(+ (* x -12) 3)
(* x -12)
(+ (* 9 (* x x)) 0)
(* x x)
(+ (* (* x 9) x) 3)
(* x 9)
(+ (* (* x 3) (* x 3)) 3)
(* x 3)
Outputs
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) (/.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64))) #s(literal 3 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 3 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal 20736 binary64)) (*.f64 (*.f64 x x) #s(literal 11664 binary64))) (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) x))) #s(literal 3 binary64))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -2985984 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) x) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal 20736 binary64)) (*.f64 (*.f64 x x) #s(literal 11664 binary64))))) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
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(fma.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal 3 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 3 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))) (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 3 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) #s(literal 1 binary64) #s(literal 3 binary64))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -27 binary64))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 3 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -729 binary64) #s(literal -27 binary64)) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -27 binary64)))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -27 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -27 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -729 binary64) #s(literal -27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -27 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -729 binary64) #s(literal -27 binary64)) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -27 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -729 binary64) #s(literal -27 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -27 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) (neg.f64 (+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))))) (+.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -27 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -27 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -729 binary64) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -27 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 3 binary64))))
(*.f64 (-.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x x) #s(literal -9 binary64) #s(literal 0 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))

simplify257.0ms (3.2%)

Memory
17.8MiB live, 517.7MiB allocated
Algorithm
egg-herbie
Rules
5 942×accelerator-lowering-fma.f32
5 942×accelerator-lowering-fma.f64
2 632×*-lowering-*.f32
2 632×*-lowering-*.f64
1 556×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097706
1276706
2595698
31354690
43238690
55918690
08312633
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
-144
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(- (* 81 (pow x 2)) 144)
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 81 x)
(* 1/12 x)
(* x (+ 1/12 (* -1/16 x)))
(* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))
(* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))
1/9
(- 1/9 (* 4/27 (/ 1 x)))
(- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))
(- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))
1/9
(- 1/9 (* 4/27 (/ 1 x)))
(+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))
(+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) x)))
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(+ 3 (* x (- (* 9 x) 12)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
-144
#s(literal -144 binary64)
(- (* 81 (pow x 2)) 144)
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(- (* 81 (pow x 2)) 144)
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(* 81 (pow x 2))
(*.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(* (pow x 2) (- 81 (* 144 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64)) #s(literal -144 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 81 x)
(fma.f64 x #s(literal 81 binary64) #s(literal 0 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* x (+ 1/12 (* -1/16 x)))
(*.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* x (- (* 3/64 x) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 3/64 binary64) #s(literal -1/16 binary64)) #s(literal 1/12 binary64)))
(* x (+ 1/12 (* x (- (* x (+ 3/64 (* -9/256 x))) 1/16))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -9/256 binary64) #s(literal 3/64 binary64)) #s(literal -1/16 binary64)) #s(literal 1/12 binary64)))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 4/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x))
(- (+ 1/9 (/ 16/81 (pow x 2))) (* 4/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x))
(- (+ 1/9 (/ 16/81 (pow x 2))) (+ (* 4/27 (/ 1 x)) (* 64/243 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x))
1/9
#s(literal 1/9 binary64)
(- 1/9 (* 4/27 (/ 1 x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -4/27 binary64) x))
(+ 1/9 (* -1 (/ (- 4/27 (* 16/81 (/ 1 x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16/81 binary64) x) #s(literal -4/27 binary64)) x))
(+ 1/9 (* -1 (/ (+ 4/27 (* -1 (/ (- 16/81 (* 64/243 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 (+.f64 (/.f64 #s(literal 64/243 binary64) x) #s(literal -16/81 binary64)) x)) x))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(+ 3 (* -12 x))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 12))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -12 binary64) x #s(literal 3 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* -12 x)
(fma.f64 #s(literal -12 binary64) x #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
(* 9 x)
(fma.f64 x #s(literal 9 binary64) #s(literal 0 binary64))
3
#s(literal 3 binary64)
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(+ 3 (* 9 (pow x 2)))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* 9 (pow x 2))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))
(* 3 x)
(fma.f64 #s(literal 3 binary64) x #s(literal 0 binary64))

eval244.0ms (3.1%)

Memory
66.6MiB live, 462.4MiB allocated
Compiler

Compiled 36 890 to 1 965 computations (94.7% saved)

prune220.0ms (2.8%)

Memory
-30.1MiB live, 424.6MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1 55661 562
Fresh202
Picked415
Done066
Total1 562131 575
Accuracy
100.0%
Counts
1 575 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 1/9 binary64) #s(literal 3 binary64))
99.9%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
99.8%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
99.9%
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
99.9%
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
45.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
45.0%
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
56.5%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
56.5%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
56.4%
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
56.4%
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
57.7%
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
44.5%
#s(literal 3 binary64)
Compiler

Compiled 370 to 150 computations (59.5% saved)

regimes32.0ms (0.4%)

Memory
14.6MiB live, 93.2MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) #s(literal 1/9 binary64) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1/9 binary64) x) #s(literal 3 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 x (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x #s(literal 108 binary64))))) #s(literal 3 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))) #s(literal 9 binary64) #s(literal -9 binary64)) (fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal -3 binary64)))
Outputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
Calls

4 calls:

8.0ms
x
8.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
7.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
7.0ms
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
99.9%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes24.0ms (0.3%)

Memory
15.6MiB live, 57.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
(fma.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64) #s(literal 3 binary64))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
Outputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
Calls

4 calls:

7.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
5.0ms
x
5.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
5.0ms
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
99.9%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
99.9%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes15.0ms (0.2%)

Memory
-7.3MiB live, 29.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 3 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
Calls

4 calls:

5.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms
x
3.0ms
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
3.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
96.6%1x
98.4%2(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
98.4%2(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
98.4%2(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes10.0ms (0.1%)

Memory
-18.0MiB live, 21.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 3 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
Calls

4 calls:

3.0ms
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms
x
2.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
97.2%3x
97.2%2(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
97.2%2(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
97.2%2(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes7.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64))
Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
Calls

4 calls:

2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms
x
2.0ms
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
45.0%1x
45.0%1(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
45.0%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
45.0%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 38 to 27 computations (28.9% saved)

regimes6.0ms (0.1%)

Memory
-25.0MiB live, 14.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
Outputs
#s(literal 3 binary64)
Calls

4 calls:

2.0ms
x
1.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
1.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
1.0ms
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
44.5%1x
44.5%1(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
44.5%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
44.5%1(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002530912333202877
238681.48399324942
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002530912333202877
238681.48399324942
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify9.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Rules
18×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02164
13264
24464
35064
45464
55564
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal 9 binary64)) x))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x #s(literal 9 binary64)) x))
(if (<=.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)

soundness1.4s (17.7%)

Memory
-27.0MiB live, 1 014.3MiB allocated
Rules
10 166×accelerator-lowering-fma.f32
10 166×accelerator-lowering-fma.f64
9 660×accelerator-lowering-fma.f32
9 660×accelerator-lowering-fma.f64
8 348×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02670
115470
2111065
0835158
01041
15535
244535
3738035
0861730
0123882
1338874
2810874
31988858
44837858
08054753
097706
1276706
2595698
31354690
43238690
55918690
08312633
02981
118281
2157981
0851068
02371
114971
2103371
0819258
051344
1137344
2323344
3753344
41956340
54214340
65944340
77664340
08049301
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 134 to 74 computations (44.8% saved)

preprocess108.0ms (1.4%)

Memory
-21.4MiB live, 136.5MiB allocated
Compiler

Compiled 182 to 80 computations (56% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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