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

Time bar (total: 7.6s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample1.3s (17.4%)

Memory
5.9MiB live, 1 231.8MiB allocated
Samples
975.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 539.0ms
ival-mult: 443.0ms (82.3% of total)
ival-sub: 40.0ms (7.4% of total)
ival-add: 36.0ms (6.7% of total)
exact: 11.0ms (2% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess129.0ms (1.7%)

Memory
16.8MiB live, 180.7MiB 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))))

explain175.0ms (2.3%)

Memory
1.8MiB live, 292.8MiB 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
36.0ms512×0valid
Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 16.0ms (73.5% of total)
ival-sub: 2.0ms (9.2% of total)
ival-add: 2.0ms (9.2% of total)
exact: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.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)

simplify74.0ms (1%)

Memory
-1.3MiB live, 117.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
cost-diff128
(+.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-diff448
(-.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))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (* x 3) x)
(*.f64 x (*.f64 #s(literal 3 binary64) x))
(* x 3)
(*.f64 #s(literal 3 binary64) x)
x
(* x 4)
(*.f64 x #s(literal 4 binary64))
4
#s(literal 4 binary64)
1
#s(literal 1 binary64)

localize47.0ms (0.6%)

Memory
-17.8MiB live, 56.9MiB 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)))
accuracy99.9%
(*.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)))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Samples
35.0ms256×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (68% of total)
ival-sub: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% 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
6.0MiB live, 6.0MiB 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
@-inf
(+ (- (* (* x 3) x) (* x 4)) 1)

rewrite405.0ms (5.3%)

Memory
22.0MiB live, 568.9MiB 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) (neg.f64 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 (neg.f64 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))))))
(fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.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 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 (neg.f64 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 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.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))) (*.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 (neg.f64 x) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 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)

simplify260.0ms (3.4%)

Memory
-16.3MiB live, 308.6MiB 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)
(*.f64 #s(literal -4 binary64) x)
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (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 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))
(*.f64 (*.f64 x x) #s(literal 9 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))
(*.f64 (*.f64 x x) #s(literal 9 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))
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))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 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))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 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))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))

eval241.0ms (3.2%)

Memory
25.2MiB live, 100.8MiB allocated
Compiler

Compiled 12 901 to 1 140 computations (91.2% saved)

prune91.0ms (1.2%)

Memory
-11.2MiB live, 104.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3958403
Fresh000
Picked101
Done000
Total3968404
Accuracy
100.0%
Counts
404 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 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))
47.2%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
55.7%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
56.1%
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
56.0%
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
55.7%
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
46.8%
#s(literal 3 binary64)
Compiler

Compiled 110 to 78 computations (29.1% saved)

simplify7.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
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)))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 3 binary64)))
cost-diff320
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 9 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))
Rules
78×accelerator-lowering-fma.f32
78×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01665
13765
25665
36865
47265
57465
07459
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x (+ (* x 9) -12)) 3)
x
(+ (* x 9) -12)
9
-12
3
3
(* (* x x) 9)
(* x x)
x
9
(* 3 (* x (* x 3)))
3
(* x (* x 3))
x
(* x 3)
(+ (* (* x x) 9) (+ (* x -12) 3))
(* x x)
x
9
(+ (* x -12) 3)
-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))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
3
#s(literal 3 binary64)
(* (* x x) 9)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
(* 3 (* x (* x 3)))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
3
#s(literal 3 binary64)
(* x (* x 3))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
x
(* x 3)
(*.f64 x #s(literal 3 binary64))
(+ (* (* 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)

localize61.0ms (0.8%)

Memory
-19.5MiB live, 104.4MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.6%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 9 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))
Samples
31.0ms228×0valid
3.0ms10×3valid
3.0ms12×2valid
1.0ms1valid
Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 13.0ms (50.1% of total)
ival-add: 12.0ms (46.2% of total)
adjust: 1.0ms (3.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (+ (* x (+ (* x 9) -12)) 3)>
#<alt (+ (* x 9) -12)>
#<alt (* (* x x) 9)>
#<alt (* x x)>
#<alt (* 3 (* x (* x 3)))>
#<alt (* x (* x 3))>
#<alt (* x 3)>
#<alt (+ (* (* x x) 9) (+ (* x -12) 3))>
#<alt (+ (* x -12) 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 -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 (* 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 (* 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 (* 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)>
#<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>
#<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)))))>
Calls

27 calls:

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

rewrite396.0ms (5.2%)

Memory
-4.6MiB live, 751.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 242×accelerator-lowering-fma.f32
10 242×accelerator-lowering-fma.f64
6 258×*-lowering-*.f32
6 258×*-lowering-*.f64
4 028×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01649
18849
266749
0851343
Stop Event
iter limit
node limit
Counts
9 → 377
Calls
Call 1
Inputs
(+ (* x (+ (* x 9) -12)) 3)
(+ (* x 9) -12)
(* (* x x) 9)
(* x x)
(* 3 (* x (* x 3)))
(* x (* x 3))
(* x 3)
(+ (* (* x x) 9) (+ (* x -12) 3))
(+ (* x -12) 3)
Outputs
(+.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal -12 binary64)) (fma.f64 x (*.f64 x #s(literal 9 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 (*.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 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal -3 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))) (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 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal 9 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 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal -3 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))) (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 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (+.f64 (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)))))
(-.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) (fma.f64 x (*.f64 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 #s(literal 9 binary64) (*.f64 x x) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x (fma.f64 x (*.f64 x #s(literal 9 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 #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 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #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 (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.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 1 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)))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))) x) #s(literal 3 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal -3 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))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64)))))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) x) #s(literal 3 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x (*.f64 x #s(literal 144 binary64)))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -108 binary64))))) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) #s(literal 3 binary64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 binary64))))) #s(literal 3 binary64))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -144 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (-.f64 #s(literal 144 binary64) (*.f64 x #s(literal -108 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 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(neg.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (*.f64 x (*.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)) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) #s(literal -3 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)))))))))
(neg.f64 (/.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)))) (neg.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)) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))))))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -9 binary64)) (fma.f64 (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #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))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal -3 binary64)))))
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(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64))) (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64)))) (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (*.f64 (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)) #s(literal 9 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 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64)) #s(literal 19683 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -46656 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64) #s(literal -729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64) #s(literal -729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 20736 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal 1296 binary64)))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 20736 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)))) (neg.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))) (neg.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64)) #s(literal 19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -46656 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))))) (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2985984 binary64) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (fma.f64 #s(literal 20736 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) #s(literal 1296 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 20736 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64)))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64)))))))
(*.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal -3 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 36 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64))))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 12 binary64) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 144 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))))

simplify290.0ms (3.8%)

Memory
17.1MiB live, 414.5MiB allocated
Algorithm
egg-herbie
Rules
9 082×accelerator-lowering-fma.f32
9 082×accelerator-lowering-fma.f64
2 648×*-lowering-*.f32
2 648×*-lowering-*.f64
1 332×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040532
1105532
2256532
3655524
41683524
53387524
65143524
76433524
87593524
08050476
Stop Event
iter limit
node limit
Counts
108 → 108
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))))
-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)))
(* 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)
(* 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))
(* 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)
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
(+ 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)))))
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))
(*.f64 x (*.f64 x #s(literal 9 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))
(*.f64 x (*.f64 x #s(literal 9 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))
-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)
(*.f64 x #s(literal 9 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)
(*.f64 x #s(literal 9 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))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 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)
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) 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 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))
(*.f64 x (*.f64 x #s(literal 9 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))
(*.f64 x (*.f64 x #s(literal 9 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))
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)
(*.f64 x #s(literal -12 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)
(*.f64 x #s(literal -12 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))

eval57.0ms (0.7%)

Memory
-2.5MiB live, 151.8MiB allocated
Compiler

Compiled 13 594 to 770 computations (94.3% saved)

prune320.0ms (4.2%)

Memory
-9.0MiB live, 72.9MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New5003503
Fresh033
Picked055
Done000
Total50011511
Accuracy
100.0%
Counts
511 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
55.7%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))
98.5%
(fma.f64 (*.f64 x x) #s(literal 9 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))
47.2%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
55.7%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
55.7%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
56.1%
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
56.0%
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
55.7%
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
46.8%
#s(literal 3 binary64)
Compiler

Compiled 120 to 84 computations (30% saved)

simplify8.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
cost-diff0
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
cost-diff320
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
cost-diff0
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
cost-diff0
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
cost-diff0
(fma.f64 x #s(literal -12 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))
Rules
88×accelerator-lowering-fma.f32
88×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01868
14268
27668
39868
410368
510968
611168
011161
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (* x x) 9) 3)
(* x x)
x
9
3
(+ (* x -12) 3)
x
-12
3
(* (* x 9) x)
(* x 9)
x
9
(* x (+ (* x 9) -12))
x
(+ (* x 9) -12)
9
-12
(* 3 (* x (+ (* x 3) -4)))
3
(* x (+ (* x 3) -4))
x
(+ (* x 3) -4)
-4
Outputs
(+ (* (* 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 -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 9) x)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* x 9)
(*.f64 x #s(literal 9 binary64))
x
9
#s(literal 9 binary64)
(* x (+ (* x 9) -12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 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 (* x (+ (* x 3) -4)))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
3
#s(literal 3 binary64)
(* x (+ (* x 3) -4))
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
x
(+ (* x 3) -4)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize61.0ms (0.8%)

Memory
-5.8MiB live, 107.9MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
accuracy100.0%
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
accuracy99.8%
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
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) #s(literal 3 binary64))
Samples
26.0ms213×0valid
6.0ms21×1valid
6.0ms21×2valid
0.0ms3valid
Compiler

Compiled 65 to 20 computations (69.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 17.0ms (63.9% of total)
ival-add: 8.0ms (30.1% of total)
adjust: 1.0ms (3.8% of total)
exact: 1.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (+ (* (* x x) 9) 3)>
#<alt (* x x)>
#<alt (+ (* x -12) 3)>
#<alt (* (* x 9) x)>
#<alt (* x 9)>
#<alt (* x (+ (* x 9) -12))>
#<alt (+ (* x 9) -12)>
#<alt (* 3 (* x (+ (* x 3) -4)))>
#<alt (* x (+ (* x 3) -4))>
#<alt (+ (* x 3) -4)>
Outputs
#<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 (* -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 (* 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 (* 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 (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 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 (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<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 -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)))>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* 3 (* x (+ (* x 3) -4)))
0.0ms
x
@-inf
(* 3 (* x (+ (* x 3) -4)))
0.0ms
x
@0
(* 3 (* x (+ (* x 3) -4)))
0.0ms
x
@-inf
(* x 9)
0.0ms
x
@inf
(* x (+ (* x 9) -12))

rewrite474.0ms (6.2%)

Memory
-20.0MiB live, 675.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 562×accelerator-lowering-fma.f32
11 562×accelerator-lowering-fma.f64
5 460×*-lowering-*.f32
5 460×*-lowering-*.f64
2 318×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01854
19554
267254
3542654
0873647
Stop Event
iter limit
node limit
Counts
10 → 593
Calls
Call 1
Inputs
(+ (* (* x x) 9) 3)
(* x x)
(+ (* x -12) 3)
(* (* x 9) x)
(* x 9)
(* x (+ (* x 9) -12))
(+ (* x 9) -12)
(* 3 (* x (+ (* x 3) -4)))
(* x (+ (* x 3) -4))
(+ (* x 3) -4)
Outputs
(+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 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 9 binary64) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 3 binary64))
(fma.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 9 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal 9 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #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 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 #s(literal 81 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (/.f64 (*.f64 x #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (fma.f64 x (*.f64 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)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal 27 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -3 binary64)))))
(fma.f64 (exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))) (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 9 binary64))) (*.f64 x x) #s(literal 3 binary64))
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(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 64 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x #s(literal -4 binary64))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 16 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 16 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64)) #s(literal -262144 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 64 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal 256 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))))
(/.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (-.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -256 binary64)) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64)) #s(literal -262144 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 64 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -256 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 16 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 16 binary64))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (-.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (/.f64 #s(literal 16 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 19683 binary64)) #s(literal -262144 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal 4096 binary64)) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 64 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)) #s(literal -4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) #s(literal 256 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) #s(literal -256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal 16 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)))
(*.f64 (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -4 binary64) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64))) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) (fma.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (*.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x))))) (fma.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (-.f64 (fma.f64 x #s(literal 12 binary64) #s(literal 16 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal -64 binary64)) (*.f64 (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) #s(literal 16 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (*.f64 x #s(literal -12 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (*.f64 x #s(literal -12 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) #s(literal -16 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)) #s(literal 64 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 16 binary64))))

simplify223.0ms (2.9%)

Memory
26.4MiB live, 449.1MiB allocated
Algorithm
egg-herbie
Rules
6 248×accelerator-lowering-fma.f32
6 248×accelerator-lowering-fma.f64
2 748×*-lowering-*.f32
2 748×*-lowering-*.f64
1 632×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048590
1120590
2280590
3654590
41307590
52838590
65659590
77475590
08283527
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
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 (* -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)))))
(* 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))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 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)))
(* -12 x)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* -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))))
-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)))
Outputs
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))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (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))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (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 (* -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)
(*.f64 x #s(literal -12 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)
(*.f64 x #s(literal -12 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))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
-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)
(*.f64 #s(literal 9 binary64) x)
(* 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)
(*.f64 #s(literal 9 binary64) x)
(* -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))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal -12 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* x (- (* 3 x) 4))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 #s(literal 3 binary64) x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 #s(literal 3 binary64) x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 binary64)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal -4 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)
(*.f64 #s(literal 3 binary64) x)
(* 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)
(*.f64 #s(literal 3 binary64) x)
(* -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))

eval163.0ms (2.1%)

Memory
-34.1MiB live, 182.3MiB allocated
Compiler

Compiled 13 373 to 1 412 computations (89.4% saved)

prune101.0ms (1.3%)

Memory
14.2MiB live, 165.4MiB allocated
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New7121713
Fresh011
Picked055
Done055
Total71212724
Accuracy
100.0%
Counts
724 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
55.7%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))
98.5%
(fma.f64 (*.f64 x x) #s(literal 9 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))
47.2%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
55.7%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
55.7%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
56.1%
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
4.0%
(*.f64 x #s(literal -12 binary64))
56.0%
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
55.7%
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
46.8%
#s(literal 3 binary64)
Compiler

Compiled 81 to 57 computations (29.6% saved)

simplify5.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -12 binary64))
cost-diff0
(*.f64 x x)
cost-diff320
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))
cost-diff0
(*.f64 x #s(literal -12 binary64))
Rules
22×*-lowering-*.f32
22×*-lowering-*.f64
16×accelerator-lowering-fma.f32
16×accelerator-lowering-fma.f64
10×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11221
21921
32021
02020
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x -12)
x
-12
(+ (* (* x x) 9) (* x -12))
(* x x)
x
9
(* x -12)
-12
Outputs
(* x -12)
(*.f64 x #s(literal -12 binary64))
x
-12
#s(literal -12 binary64)
(+ (* (* x x) 9) (* x -12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
(* x -12)
(*.f64 x #s(literal -12 binary64))
-12
#s(literal -12 binary64)

localize26.0ms (0.3%)

Memory
5.7MiB live, 44.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal -12 binary64))
accuracy99.5%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))
accuracy100.0%
(*.f64 x #s(literal -12 binary64))
Samples
15.0ms243×0valid
1.0ms2valid
1.0ms1valid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (71.6% of total)
ival-add: 1.0ms (14.3% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (* x -12)>
#<alt (+ (* (* x x) 9) (* x -12))>
#<alt (* x x)>
Outputs
#<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 (* -12 x)>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* x (- (* 9 x) 12))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 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)>
Calls

9 calls:

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

rewrite578.0ms (7.6%)

Memory
-16.3MiB live, 899.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 464×accelerator-lowering-fma.f32
12 464×accelerator-lowering-fma.f64
4 758×*-lowering-*.f32
4 758×*-lowering-*.f64
4 114×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
12713
221013
3212913
0839812
Stop Event
iter limit
node limit
Counts
3 → 201
Calls
Call 1
Inputs
(* x -12)
(+ (* (* x x) 9) (* x -12))
(* x x)
Outputs
(exp.f64 (log.f64 (*.f64 x #s(literal -12 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -12 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -12 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal -12 binary64))))
(*.f64 #s(literal -12 binary64) x)
(*.f64 (exp.f64 (log.f64 #s(literal -12 binary64))) x)
(+.f64 (*.f64 x #s(literal -12 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal -12 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (neg.f64 (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))) (neg.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2985984 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 2985984 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
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(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))
(*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))) x) (/.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))) (*.f64 (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (fma.f64 (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (*.f64 (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))) (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 81 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (*.f64 x (/.f64 #s(literal 144 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))
(*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -5159780352 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 387420489 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1728 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1728 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64)) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.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))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x))) (*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x))) (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 144 binary64) (*.f64 #s(literal -108 binary64) x))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))))) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -108 binary64)))))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -108 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -108 binary64)))))
(*.f64 (pow.f64 (/.f64 x (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.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)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -5159780352 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 387420489 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1728 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1728 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 531441 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 144 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64) #s(literal -1728 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) #s(literal -1728 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 144 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 #s(literal 6561 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 12 binary64))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal 144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 144 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify302.0ms (4%)

Memory
26.6MiB live, 236.5MiB allocated
Algorithm
egg-herbie
Rules
3 922×accelerator-lowering-fma.f32
3 922×accelerator-lowering-fma.f64
3 236×*-lowering-*.f32
3 236×*-lowering-*.f64
1 844×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016148
133148
261148
3114148
4253148
5514148
61059148
72346148
83150148
95219148
08044139
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -12 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)
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* x (- (* 9 x) 12))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- 9 (* 12 (/ 1 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)
Outputs
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 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 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 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 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 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)

eval228.0ms (3%)

Memory
-1.0MiB live, 38.7MiB allocated
Compiler

Compiled 9 783 to 599 computations (93.9% saved)

prune235.0ms (3.1%)

Memory
-13.6MiB live, 66.0MiB allocated
Pruning

12 alts after pruning (0 fresh and 12 done)

PrunedKeptTotal
New2560256
Fresh000
Picked022
Done01010
Total25612268
Accuracy
100.0%
Counts
268 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)))
55.7%
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))
98.5%
(fma.f64 (*.f64 x x) #s(literal 9 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))
47.2%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
55.7%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
55.7%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
56.1%
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)))
4.0%
(*.f64 x #s(literal -12 binary64))
56.0%
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
55.7%
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
46.8%
#s(literal 3 binary64)
Compiler

Compiled 164 to 87 computations (47% saved)

regimes18.0ms (0.2%)

Memory
2.9MiB live, 42.0MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.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 (*.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))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (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)))
Outputs
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
Calls

4 calls:

4.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
4.0ms
(*.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)))
4.0ms
x
4.0ms
(+.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)

regimes12.0ms (0.2%)

Memory
-8.0MiB live, 30.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.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 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
Outputs
(fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 3 binary64))
Calls

4 calls:

3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
3.0ms
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
98.5%1x
98.5%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)))
98.5%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
98.5%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)

regimes12.0ms (0.2%)

Memory
-9.2MiB live, 27.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.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)))
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:

4.0ms
x
3.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
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)))
Results
AccuracySegmentsBranch
99.4%3x
99.4%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)))
99.4%2(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
99.4%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)

regimes7.0ms (0.1%)

Memory
20.0MiB live, 20.0MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.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 x) #s(literal 9 binary64))
Calls

3 calls:

2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
2.0ms
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
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)))
Results
AccuracySegmentsBranch
98.8%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)))
98.8%2(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
98.8%2(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes8.0ms (0.1%)

Memory
-25.6MiB live, 16.9MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
Outputs
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
Calls

3 calls:

2.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
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
98.8%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)))
98.8%2(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
98.8%2(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes7.0ms (0.1%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
(fma.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 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
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)))
Results
AccuracySegmentsBranch
47.2%1x
47.2%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)))
47.2%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
47.2%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)

regimes7.0ms (0.1%)

Memory
-21.6MiB live, 18.0MiB allocated
Accuracy

Total -28.0b remaining (-82.3%)

Threshold costs -28b (-82.3%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 x #s(literal -12 binary64))
Outputs
#s(literal 3 binary64)
Calls

4 calls:

2.0ms
x
2.0ms
(-.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
46.8%1x
46.8%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)))
46.8%1(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
46.8%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
0.6MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.106233535666127e-5
498388.49044589535
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.106233535666127e-5
498388.49044589535
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.106233535666127e-5
498388.49044589535
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify10.0ms (0.1%)

Memory
30.4MiB live, 30.4MiB allocated
Algorithm
egg-herbie
Rules
20×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02382
13582
24782
35382
45782
55882
Stop Event
saturated
Calls
Call 1
Inputs
(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) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/147573952589676412928 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 5902958103587057/147573952589676412928 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/147573952589676412928 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 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) #s(literal 3 binary64))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/147573952589676412928 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 5902958103587057/147573952589676412928 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 5902958103587057/147573952589676412928 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(if (<=.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/147573952589676412928 binary64)) (fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(if (<=.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 5902958103587057/147573952589676412928 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 5902958103587057/147573952589676412928 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)

soundness1.2s (15.3%)

Memory
-5.8MiB live, 625.4MiB allocated
Rules
10 242×accelerator-lowering-fma.f32
10 242×accelerator-lowering-fma.f64
9 082×accelerator-lowering-fma.f32
9 082×accelerator-lowering-fma.f64
8 226×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040532
1105532
2256532
3655524
41683524
53387524
65143524
76433524
87593524
08050476
01041
15535
244535
3738035
0861730
01649
18849
266749
0851343
051344
1137344
2323344
3753344
41956340
54214340
65944340
77664340
08049301
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 148 to 71 computations (52% saved)

preprocess95.0ms (1.2%)

Memory
-6.7MiB live, 148.7MiB allocated
Compiler

Compiled 218 to 84 computations (61.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...