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

Time bar (total: 8.3s)

analyze0.0ms (0%)

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

Compiled 15 to 12 computations (20% saved)

sample998.0ms (12.1%)

Memory
-149.4MiB live, 1 158.8MiB allocated
Samples
544.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-mult: 223.0ms (69.5% of total)
ival-add: 41.0ms (12.8% of total)
ival-sub: 38.0ms (11.8% of total)
exact: 10.0ms (3.1% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess162.0ms (2%)

Memory
-28.2MiB live, 173.8MiB 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))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 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))))

explain120.0ms (1.5%)

Memory
34.4MiB live, 308.2MiB 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
32.0ms512×0valid
Compiler

Compiled 128 to 44 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (67.7% of total)
ival-sub: 3.0ms (16.9% of total)
ival-add: 2.0ms (11.3% of total)
exact: 1.0ms (5.6% 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
1.7MiB live, 1.7MiB 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)

simplify103.0ms (1.3%)

Memory
-1.2MiB live, 113.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
cost-diff0
(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
cost-diff128
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
cost-diff128
(*.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)))
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))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
3
#s(literal 3 binary64)
(+ (- (* (* x 3) x) (* x 4)) 1)
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) #s(literal 1 binary64))
(- (* (* x 3) x) (* x 4))
(*.f64 x (+.f64 (*.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)

localize39.0ms (0.5%)

Memory
-21.8MiB live, 63.9MiB 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
20.0ms256×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (72% of total)
ival-sub: 1.0ms (9% of total)
ival-add: 1.0ms (9% 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
7.1MiB live, 7.1MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (* 3 (+ (- (* (* x 3) x) (* x 4)) 1))>
#<alt (- (* (* x 3) x) (* x 4))>
#<alt (+ (- (* (* x 3) x) (* x 4)) 1)>
#<alt (* (* x 3) x)>
#<alt (* x 3)>
Outputs
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* -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 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
0.0ms
x
@inf
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms
x
@0
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
0.0ms
x
@-inf
(* x 3)
0.0ms
x
@inf
(* (* x 3) x)
0.0ms
x
@inf
(- (* (* x 3) x) (* x 4))

rewrite563.0ms (6.8%)

Memory
6.8MiB live, 801.8MiB 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
(* 3 (+ (- (* (* x 3) x) (* x 4)) 1))
(- (* (* x 3) x) (* x 4))
(+ (- (* (* x 3) x) (* x 4)) 1)
(* (* x 3) x)
(* x 3)
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) (*.f64 x #s(literal -12 binary64)))
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 x #s(literal -12 binary64)))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))))) #s(literal 9 binary64)) (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal -3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (*.f64 x #s(literal -12 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 x (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 x (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(fma.f64 x (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal 64 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64)) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))
(fma.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 3 binary64)))
(fma.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 12 binary64))) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))))) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))) x) (/.f64 #s(literal 3 binary64) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x)) x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) x)) x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) #s(literal 3 binary64)))
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(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

simplify460.0ms (5.6%)

Memory
-4.8MiB live, 228.6MiB allocated
Algorithm
egg-herbie
Rules
6 316×accelerator-lowering-fma.f32
6 316×accelerator-lowering-fma.f64
2 412×*-lowering-*.f32
2 412×*-lowering-*.f64
1 484×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051344
1137344
2323344
3758344
41968340
54245340
65972340
77683340
08028301
Stop Event
iter limit
node limit
Counts
60 → 60
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))))
(* -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))))
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
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(+ 1 (* x (- (* 3 x) 4)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64)))))
(+ 1 (* x (- (* 3 x) 4)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64)))))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64)))))
(* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64)))))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 binary64)))))
(* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x #s(literal -3 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)

eval130.0ms (1.6%)

Memory
15.8MiB live, 95.1MiB allocated
Compiler

Compiled 14 435 to 1 150 computations (92% saved)

prune141.0ms (1.7%)

Memory
-33.2MiB live, 146.8MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New39211403
Fresh000
Picked101
Done000
Total39311404
Accuracy
100.0%
Counts
404 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 binary64)))
99.9%
(+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
49.0%
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
53.5%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
53.0%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
90.8%
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))) x) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64)))
49.0%
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
53.4%
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
52.9%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
48.7%
#s(literal 3 binary64)
Compiler

Compiled 212 to 154 computations (27.4% saved)

simplify9.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
cost-diff128
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
cost-diff0
(*.f64 x #s(literal -4 binary64))
cost-diff0
(+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
cost-diff128
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal -12 binary64) x)
cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff0
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
Rules
150×accelerator-lowering-fma.f32
150×accelerator-lowering-fma.f64
84×*-lowering-*.f32
84×*-lowering-*.f64
56×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01982
15182
29682
311582
412382
513282
013272
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ 3 (* x (+ -12 (* x 9))))
3
(* x (+ -12 (* x 9)))
x
(+ -12 (* x 9))
-12
(* x 9)
9
3
(+ 3 (* -12 x))
3
(* -12 x)
-12
x
(* 3 (+ (* x -4) 1))
3
(+ (* x -4) 1)
(* x -4)
x
-4
1
(* 3 (* x (+ -4 (* 3 x))))
3
(* x (+ -4 (* 3 x)))
x
(+ -4 (* 3 x))
-4
(* 3 x)
Outputs
(+ 3 (* x (+ -12 (* x 9))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
3
#s(literal 3 binary64)
(* x (+ -12 (* x 9)))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
x
(+ -12 (* x 9))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
-12
#s(literal -12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
3
#s(literal 3 binary64)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
-12
#s(literal -12 binary64)
x
(* 3 (+ (* x -4) 1))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
3
#s(literal 3 binary64)
(+ (* x -4) 1)
(+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
(* x -4)
(*.f64 x #s(literal -4 binary64))
x
-4
#s(literal -4 binary64)
1
#s(literal 1 binary64)
(* 3 (* x (+ -4 (* 3 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
3
#s(literal 3 binary64)
(* x (+ -4 (* 3 x)))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
x
(+ -4 (* 3 x))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
-4
#s(literal -4 binary64)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

localize69.0ms (0.8%)

Memory
-5.4MiB live, 151.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
accuracy99.8%
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
accuracy99.8%
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
accuracy100.0%
(+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x #s(literal -4 binary64))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 #s(literal -12 binary64) x)
accuracy99.8%
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy100.0%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
accuracy99.9%
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy99.8%
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
Samples
24.0ms204×0valid
10.0ms27×2valid
6.0ms25×1valid
Compiler

Compiled 88 to 21 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (55.4% of total)
ival-add: 8.0ms (31.7% of total)
adjust: 3.0ms (11.9% of total)
exact: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (+ 3 (* x (+ -12 (* x 9))))>
#<alt (* x (+ -12 (* x 9)))>
#<alt (+ -12 (* x 9))>
#<alt (* x 9)>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* 3 (+ (* x -4) 1))>
#<alt (+ (* x -4) 1)>
#<alt (* x -4)>
#<alt (* 3 (* x (+ -4 (* 3 x))))>
#<alt (* x (+ -4 (* 3 x)))>
#<alt (+ -4 (* 3 x))>
#<alt (* 3 x)>
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 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 (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* -12 x))>
#<alt (* -12 x)>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* x (- (* 3 (/ 1 x)) 12))>
#<alt (* -12 x)>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 12 (* 3 (/ 1 x)))))>
#<alt (* -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 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 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* -4 x))>
#<alt (* -4 x)>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* x (- (/ 1 x) 4))>
#<alt (* -4 x)>
#<alt (* -1 (* x (- 4 (/ 1 x))))>
#<alt (* -1 (* x (- 4 (/ 1 x))))>
#<alt (* -1 (* x (- 4 (/ 1 x))))>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 x)>
#<alt (* -4 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 (* -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)))>
#<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

39 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* 3 (* x (+ -4 (* 3 x))))
1.0ms
x
@inf
(* x (+ -12 (* x 9)))
0.0ms
x
@0
(* 3 (* x (+ -4 (* 3 x))))
0.0ms
x
@-inf
(* 3 (* x (+ -4 (* 3 x))))
0.0ms
x
@-inf
(* x 9)

rewrite545.0ms (6.6%)

Memory
6.7MiB live, 987.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 824×accelerator-lowering-fma.f32
9 824×accelerator-lowering-fma.f64
6 066×*-lowering-*.f32
6 066×*-lowering-*.f64
3 900×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01967
111467
287567
0837357
Stop Event
iter limit
node limit
Counts
13 → 835
Calls
Call 1
Inputs
(+ 3 (* x (+ -12 (* x 9))))
(* x (+ -12 (* x 9)))
(+ -12 (* x 9))
(* x 9)
(+ 3 (* -12 x))
(* -12 x)
(* 3 (+ (* x -4) 1))
(+ (* x -4) 1)
(* x -4)
(* 3 (* x (+ -4 (* 3 x))))
(* x (+ -4 (* 3 x)))
(+ -4 (* 3 x))
(* 3 x)
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(+.f64 (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))
(+.f64 (*.f64 x #s(literal -12 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(+.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 x #s(literal -12 binary64)))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))) (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))) (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal -3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 x #s(literal -12 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 x #s(literal -12 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.f64 x (*.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal -12 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal -12 binary64) x (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))) (-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))))
(fma.f64 #s(literal 9 binary64) (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x #s(literal 3 binary64))
(fma.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -12 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -12 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -12 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.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 #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal 3 binary64) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal -64 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) x) #s(literal 3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (/.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 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 #s(literal 36 binary64) x)))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))
(fma.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) x) #s(literal 3 binary64))
(fma.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x 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 #s(literal 3 binary64) (*.f64 x x)) #s(literal 3 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -144 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (+.f64 (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))) #s(literal 3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))))) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -144 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))) #s(literal 3 binary64))
(fma.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 144 binary64))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -12 binary64)) #s(literal -3 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x x) #s(literal 9 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 16 binary64) (*.f64 x x))) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -64 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))))) #s(literal 3 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))
(fma.f64 (*.f64 x (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) #s(literal 3 binary64))
(fma.f64 (*.f64 x (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 (+.f64 (*.f64 #s(literal 16 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) #s(literal 3 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 3 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -144 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -144 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))))))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))) #s(literal 9 binary64)))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal -1728 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 144 binary64)) #s(literal -36 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 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -144 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 1728 binary64) (*.f64 x (*.f64 x x))))) (+.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 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -64 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 4096 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))))))) (+.f64 (*.f64 #s(literal 256 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 16 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 9 binary64))))
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(*.f64 (/.f64 (+.f64 #s(literal -64 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 256 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))) (-.f64 #s(literal 16 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (-.f64 #s(literal -64 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 16 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

simplify301.0ms (3.6%)

Memory
4.9MiB live, 411.6MiB allocated
Algorithm
egg-herbie
Rules
6 826×accelerator-lowering-fma.f32
6 826×accelerator-lowering-fma.f64
2 478×*-lowering-*.f32
2 478×*-lowering-*.f64
1 624×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058756
1150756
2381716
3928716
41750716
53427716
65333716
76805716
87929716
08010629
Stop Event
iter limit
node limit
Counts
156 → 156
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 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)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(+ 3 (* -12 x))
(* -12 x)
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* x (- (* 3 (/ 1 x)) 12))
(* -12 x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 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)))))
1
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(+ 1 (* -4 x))
(* -4 x)
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* x (- (/ 1 x) 4))
(* -4 x)
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 4 (/ 1 x))))
(* -1 (* x (- 4 (/ 1 x))))
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 x)
(* -4 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))))
(* -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)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(+ 3 (* x (- (* 9 x) 12)))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(-.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 x #s(literal -9 binary64)))))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(- (* 9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(+ 3 (* -12 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(+ 3 (* -12 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* x (- (* 3 (/ 1 x)) 12))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* x (- (* 3 (/ 1 x)) 12))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -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)
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(+ 3 (* -12 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(+ 3 (* -12 x))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 3 (/ 1 x)) 12))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* x (- (* 3 (/ 1 x)) 12))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* x (- (* 3 (/ 1 x)) 12))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
(* -1 (* x (- 12 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 12 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(+ 1 (* -4 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (/ 1 x) 4))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* x (- (/ 1 x) 4))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* x (- (/ 1 x) 4))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -1 (* x (- 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -1 (* x (- 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -1 (* x (- 4 (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -4 binary64)))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* -12 x)
(*.f64 #s(literal -12 binary64) x)
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* x (- (* 3 x) 4))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
(* (pow x 2) (- 3 (* 4 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x)))
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 4)
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(- (* 3 x) 4)
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 #s(literal -4 binary64) (*.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 x)
(*.f64 #s(literal 3 binary64) x)

eval117.0ms (1.4%)

Memory
5.0MiB live, 231.5MiB allocated
Compiler

Compiled 22 159 to 1 906 computations (91.4% saved)

prune91.0ms (1.1%)

Memory
-7.0MiB live, 206.1MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New9865991
Fresh336
Picked145
Done000
Total990121 002
Accuracy
100.0%
Counts
1 002 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.0%
(/.f64 (*.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
53.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
99.9%
(+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
49.0%
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
53.5%
(*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x)
53.0%
(*.f64 x (*.f64 x #s(literal 9 binary64)))
49.0%
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
52.9%
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
52.9%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
4.0%
(*.f64 #s(literal -12 binary64) x)
48.7%
#s(literal 3 binary64)
Compiler

Compiled 170 to 124 computations (27.1% saved)

simplify333.0ms (4%)

Memory
-10.8MiB live, 145.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 81 binary64) (*.f64 x x))
cost-diff0
(-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))
cost-diff0
(*.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
cost-diff0
(*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x x))
cost-diff128
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
cost-diff0
(*.f64 #s(literal -12 binary64) x)
cost-diff0
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))
cost-diff0
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64)))
cost-diff0
(+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
cost-diff128
(*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))
Rules
3 000×accelerator-lowering-fma.f32
3 000×accelerator-lowering-fma.f64
1 568×*-lowering-*.f32
1 568×*-lowering-*.f64
754×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024132
157132
2130122
3233122
4423122
5721122
61254122
73098122
84199122
94369122
104635122
114915122
125156122
135504122
145686122
155714122
165714122
175714122
185714122
195714122
205720122
05720110
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x (* (+ (* 3 x) -4) 3)) 3)
(* x (* (+ (* 3 x) -4) 3))
x
(* (+ (* 3 x) -4) 3)
(+ (* 3 x) -4)
(* 3 x)
3
-4
(* -12 x)
-12
x
(* 3 (* 3 (* x x)))
3
(* 3 (* x x))
(* x x)
x
(* (+ -12 (* x 9)) x)
(+ -12 (* x 9))
-12
(* x 9)
x
9
(/ (* (- 144 (* 81 (* x x))) x) (- -12 (* x 9)))
(* (- 144 (* 81 (* x x))) x)
(- 144 (* 81 (* x x)))
144
(* 81 (* x x))
81
(* x x)
x
(- -12 (* x 9))
-12
(* x 9)
9
Outputs
(+ (* x (* (+ (* 3 x) -4) 3)) 3)
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(* x (* (+ (* 3 x) -4) 3))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
x
(* (+ (* 3 x) -4) 3)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(+ (* 3 x) -4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
-4
#s(literal -4 binary64)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
-12
#s(literal -12 binary64)
x
(* 3 (* 3 (* x x)))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
3
#s(literal 3 binary64)
(* 3 (* x x))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* x x)
(*.f64 x x)
x
(* (+ -12 (* x 9)) x)
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(+ -12 (* x 9))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
-12
#s(literal -12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
x
9
#s(literal 9 binary64)
(/ (* (- 144 (* 81 (* x x))) x) (- -12 (* x 9)))
(/.f64 (*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(* (- 144 (* 81 (* x x))) x)
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(- 144 (* 81 (* x x)))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
144
#s(literal 144 binary64)
(* 81 (* x x))
(*.f64 x (*.f64 x #s(literal 81 binary64)))
81
#s(literal 81 binary64)
(* x x)
(*.f64 x x)
x
(- -12 (* x 9))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
-12
#s(literal -12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)

localize90.0ms (1.1%)

Memory
-3.8MiB live, 151.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy99.9%
(*.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) x)
accuracy99.7%
(*.f64 #s(literal 81 binary64) (*.f64 x x))
accuracy93.3%
(/.f64 (*.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy99.9%
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy99.8%
(*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x)
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x x))
accuracy99.7%
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
accuracy100.0%
(*.f64 #s(literal -12 binary64) x)
accuracy100.0%
(+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
accuracy99.8%
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64)))
accuracy99.8%
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64))
accuracy99.8%
(*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))
Samples
31.0ms187×0valid
12.0ms30×2valid
10.0ms34×1valid
2.0ms3valid
Compiler

Compiled 132 to 26 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 20.0ms (57.8% of total)
ival-add: 5.0ms (14.4% of total)
ival-div: 3.0ms (8.7% of total)
adjust: 3.0ms (8.7% of total)
ival-sub: 3.0ms (8.7% of total)
exact: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (* (+ (* 3 x) -4) 3)>
#<alt (+ (* x (* (+ (* 3 x) -4) 3)) 3)>
#<alt (* x (* (+ (* 3 x) -4) 3))>
#<alt (+ (* 3 x) -4)>
#<alt (* -12 x)>
#<alt (* 3 (* 3 (* x x)))>
#<alt (* 3 (* x x))>
#<alt (* x x)>
#<alt (* (+ -12 (* x 9)) x)>
#<alt (+ -12 (* x 9))>
#<alt (* x 9)>
#<alt (/ (* (- 144 (* 81 (* x x))) x) (- -12 (* x 9)))>
#<alt (* (- 144 (* 81 (* x x))) x)>
#<alt (- 144 (* 81 (* x x)))>
#<alt (* 81 (* x x))>
#<alt (- -12 (* x 9))>
Outputs
#<alt -12>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (- (* 9 x) 12)>
#<alt (* 9 x)>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* x (- 9 (* 12 (/ 1 x))))>
#<alt (* 9 x)>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt (* -1 (* x (- (* 12 (/ 1 x)) 9)))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* -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>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (- (* 3 x) 4)>
#<alt (* 3 x)>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* x (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 x)>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 3)))>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* -12 x)>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 9 (pow x 2))>
#<alt (* 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 (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 (* -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 (* 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 (* 144 x)>
#<alt (* x (+ 144 (* -81 (pow x 2))))>
#<alt (* x (+ 144 (* -81 (pow x 2))))>
#<alt (* x (+ 144 (* -81 (pow x 2))))>
#<alt (* -81 (pow x 3))>
#<alt (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))>
#<alt 144>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (+ 144 (* -81 (pow x 2)))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* -81 (pow x 2))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt (* 81 (pow x 2))>
#<alt -12>
#<alt (- (* -9 x) 12)>
#<alt (- (* -9 x) 12)>
#<alt (- (* -9 x) 12)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
Calls

48 calls:

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

rewrite646.0ms (7.8%)

Memory
-5.2MiB live, 834.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 626×accelerator-lowering-fma.f32
9 626×accelerator-lowering-fma.f64
5 818×*-lowering-*.f32
5 818×*-lowering-*.f64
3 864×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024102
1124102
289190
0860579
Stop Event
iter limit
node limit
Counts
16 → 1 678
Calls
Call 1
Inputs
(* (+ (* 3 x) -4) 3)
(+ (* x (* (+ (* 3 x) -4) 3)) 3)
(* x (* (+ (* 3 x) -4) 3))
(+ (* 3 x) -4)
(* -12 x)
(* 3 (* 3 (* x x)))
(* 3 (* x x))
(* x x)
(* (+ -12 (* x 9)) x)
(+ -12 (* x 9))
(* x 9)
(/ (* (- 144 (* 81 (* x x))) x) (- -12 (* x 9)))
(* (- 144 (* 81 (* x x))) x)
(- 144 (* 81 (* x x)))
(* 81 (* x x))
(- -12 (* x 9))
Outputs
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
(+.f64 #s(literal -12 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))
(+.f64 (/.f64 #s(literal 144 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) #s(literal 144 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) #s(literal 144 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (*.f64 (/.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (*.f64 x #s(literal -108 binary64))))
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(/.f64 (*.f64 (+.f64 #s(literal -20736 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))) (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal -144 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))) #s(literal -1 binary64))
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(*.f64 (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) #s(literal -144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 12 binary64))))
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(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))
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simplify550.0ms (6.6%)

Memory
-18.5MiB live, 306.8MiB allocated
Algorithm
egg-herbie
Rules
4 650×accelerator-lowering-fma.f32
4 650×accelerator-lowering-fma.f64
2 834×*-lowering-*.f32
2 834×*-lowering-*.f64
1 462×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0691034
11851034
2475976
31196976
42814976
54761976
67034976
08089880
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
-12
(- (* 9 x) 12)
(- (* 9 x) 12)
(- (* 9 x) 12)
(* 9 x)
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* x (- 9 (* 12 (/ 1 x))))
(* 9 x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
3
(+ 3 (* -12 x))
(+ 3 (* x (- (* 9 x) 12)))
(+ 3 (* x (- (* 9 x) 12)))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(* -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
(- (* 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)))
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* -12 x)
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 9 (pow x 2))
(* 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))
(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)
(* -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)))
(* 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))))
(* 144 x)
(* x (+ 144 (* -81 (pow x 2))))
(* x (+ 144 (* -81 (pow x 2))))
(* x (+ 144 (* -81 (pow x 2))))
(* -81 (pow x 3))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(* -81 (pow x 3))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
144
(+ 144 (* -81 (pow x 2)))
(+ 144 (* -81 (pow x 2)))
(+ 144 (* -81 (pow x 2)))
(* -81 (pow x 2))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* -81 (pow x 2))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
(* 81 (pow x 2))
-12
(- (* -9 x) 12)
(- (* -9 x) 12)
(- (* -9 x) 12)
(* -9 x)
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -9 x)
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
Outputs
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -12 x))
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64)))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))))
(+ 3 (* x (- (* 9 x) 12)))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))))
(* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
-4
#s(literal -4 binary64)
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(- (* 3 x) 4)
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* x (- 3 (* 4 (/ 1 x))))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 3)))
(+.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* -12 x)
(*.f64 x #s(literal -12 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))
(* 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)))
(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)
(* -12 x)
(*.f64 x #s(literal -12 binary64))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
-12
#s(literal -12 binary64)
(- (* 9 x) 12)
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(- (* 9 x) 12)
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* x (- 9 (* 12 (/ 1 x))))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* -1 (* x (- (* 12 (/ 1 x)) 9)))
(+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))
(* 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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* x (- (* 9 x) 12))
(*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.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 (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* 144 x)
(*.f64 x #s(literal 144 binary64))
(* x (+ 144 (* -81 (pow x 2))))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* x (+ 144 (* -81 (pow x 2))))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* x (+ 144 (* -81 (pow x 2))))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* -81 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* (pow x 3) (- (* 144 (/ 1 (pow x 2))) 81))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* -81 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
(* -1 (* (pow x 3) (- 81 (* 144 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))
144
#s(literal 144 binary64)
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(+ 144 (* -81 (pow x 2)))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -81 binary64))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -81 binary64))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* (pow x 2) (- (* 144 (/ 1 (pow x 2))) 81))
(+.f64 #s(literal 144 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
-12
#s(literal -12 binary64)
(- (* -9 x) 12)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(- (* -9 x) 12)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(- (* -9 x) 12)
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -12 binary64))

eval535.0ms (6.5%)

Memory
23.8MiB live, 375.7MiB allocated
Compiler

Compiled 49 199 to 3 223 computations (93.4% saved)

prune293.0ms (3.5%)

Memory
8.6MiB live, 325.7MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1 90751 912
Fresh303
Picked325
Done044
Total1 913111 924
Accuracy
100.0%
Counts
1 924 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
97.4%
(+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
49.0%
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
53.5%
(*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x)
52.9%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
53.0%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
52.9%
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
49.0%
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
4.0%
(*.f64 #s(literal -12 binary64) x)
48.7%
#s(literal 3 binary64)
Compiler

Compiled 126 to 87 computations (31% saved)

simplify42.0ms (0.5%)

Memory
-12.5MiB live, 65.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -81 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff128
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 9 binary64))
cost-diff0
(*.f64 x #s(literal 9 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
cost-diff0
(+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
cost-diff128
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
Rules
546×accelerator-lowering-fma.f32
546×accelerator-lowering-fma.f64
496×*-lowering-*.f32
496×*-lowering-*.f64
248×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01990
14690
29786
314886
418486
520986
634186
773286
8107486
9111786
10113486
11114686
12114686
0114683
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x (* (* x 3) 3)) 3)
(* x (* (* x 3) 3))
x
(* (* x 3) 3)
(* x 3)
3
(* (* x 9) x)
(* x 9)
x
9
(* (* x x) 9)
(* x x)
x
9
(* (* 3 x) (* 3 x))
(* 3 x)
3
x
(/ (* (* (* x x) -81) x) (- -12 (* x 9)))
(* (* (* x x) -81) x)
(* (* x x) -81)
(* x x)
x
-81
(- -12 (* x 9))
-12
(* x 9)
9
Outputs
(+ (* x (* (* x 3) 3)) 3)
(+.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))
(* x (* (* x 3) 3))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
x
(* (* x 3) 3)
(*.f64 x #s(literal 9 binary64))
(* x 3)
(*.f64 x #s(literal 3 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)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* x x)
(*.f64 x x)
x
9
#s(literal 9 binary64)
(* (* 3 x) (* 3 x))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
3
#s(literal 3 binary64)
x
(/ (* (* (* x x) -81) x) (- -12 (* x 9)))
(/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -81 binary64)))) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64))))
(* (* (* x x) -81) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal -81 binary64))))
(* (* x x) -81)
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* x x)
(*.f64 x x)
x
-81
#s(literal -81 binary64)
(- -12 (* x 9))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
-12
#s(literal -12 binary64)
(* x 9)
(*.f64 x #s(literal 9 binary64))
9
#s(literal 9 binary64)

localize61.0ms (0.7%)

Memory
15.3MiB live, 173.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) x)
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -81 binary64))
accuracy93.3%
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
accuracy99.6%
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
accuracy100.0%
(*.f64 x x)
accuracy99.7%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
accuracy100.0%
(*.f64 x #s(literal 9 binary64))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
accuracy100.0%
(+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.8%
(*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
accuracy99.7%
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
Samples
32.0ms251×0valid
1.0ms1valid
Compiler

Compiled 100 to 21 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 15.0ms (74.8% of total)
ival-div: 2.0ms (10% of total)
ival-add: 1.0ms (5% of total)
ival-sub: 1.0ms (5% 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)

series4.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (* (* x 3) 3)>
#<alt (+ (* x (* (* x 3) 3)) 3)>
#<alt (* x (* (* x 3) 3))>
#<alt (* x 3)>
#<alt (* (* x 9) x)>
#<alt (* x 9)>
#<alt (* (* x x) 9)>
#<alt (* x x)>
#<alt (* (* 3 x) (* 3 x))>
#<alt (* 3 x)>
#<alt (/ (* (* (* x x) -81) x) (- -12 (* x 9)))>
#<alt (* (* (* x x) -81) x)>
#<alt (* (* x x) -81)>
#<alt (- -12 (* x 9))>
Outputs
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt 3>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (+ 3 (* 9 (pow x 2)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))>
#<alt (* 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 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 (* 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 (* 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 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 (* 27/4 (pow x 3))>
#<alt (* (pow x 3) (+ 27/4 (* -81/16 x)))>
#<alt (* (pow x 3) (+ 27/4 (* x (- (* 243/64 x) 81/16))))>
#<alt (* (pow x 3) (+ 27/4 (* x (- (* x (+ 243/64 (* -729/256 x))) 81/16))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 16 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 16 (pow x 2))) (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3))))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 16 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (+ 12 (* -1 (/ (- 16 (* 64/3 (/ 1 x))) x))) x))))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 3))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt (* -81 (pow x 2))>
#<alt -12>
#<alt (- (* -9 x) 12)>
#<alt (- (* -9 x) 12)>
#<alt (- (* -9 x) 12)>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -9 x)>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
#<alt (* -1 (* x (+ 9 (* 12 (/ 1 x)))))>
Calls

42 calls:

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

rewrite394.0ms (4.8%)

Memory
-50.7MiB live, 688.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 896×accelerator-lowering-fma.f32
6 896×accelerator-lowering-fma.f64
5 604×*-lowering-*.f32
5 604×*-lowering-*.f64
2 084×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01972
18372
252268
3477368
0837065
Stop Event
iter limit
node limit
Counts
14 → 500
Calls
Call 1
Inputs
(* (* x 3) 3)
(+ (* x (* (* x 3) 3)) 3)
(* x (* (* x 3) 3))
(* x 3)
(* (* x 9) x)
(* x 9)
(* (* x x) 9)
(* x x)
(* (* 3 x) (* 3 x))
(* 3 x)
(/ (* (* (* x x) -81) x) (- -12 (* x 9)))
(* (* (* x x) -81) x)
(* (* x x) -81)
(- -12 (* x 9))
Outputs
(exp.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -9 binary64)))
(neg.f64 (*.f64 x #s(literal -9 binary64)))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 9 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -9 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(*.f64 #s(literal -9 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -3 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 9 binary64))
(*.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 9 binary64))) x)
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))))
(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))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64)))))
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 27 binary64)))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #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 #s(literal 9 binary64) (*.f64 x x)))) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x #s(literal 9 binary64)) x #s(literal 3 binary64))
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(*.f64 (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 144 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 144 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 12 binary64)))
(*.f64 (+.f64 #s(literal 1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))))
(*.f64 (+.f64 #s(literal -144 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 12 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 144 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -12 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 144 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 144 binary64)) (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) (+.f64 #s(literal 144 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 144 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal 144 binary64))) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (+.f64 #s(literal 2985984 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))))))) (+.f64 #s(literal 20736 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (-.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) #s(literal 144 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1728 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))) (-.f64 #s(literal 20736 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))) (-.f64 #s(literal 144 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -108 binary64)))))

simplify319.0ms (3.9%)

Memory
20.8MiB live, 568.5MiB allocated
Algorithm
egg-herbie
Rules
9 452×accelerator-lowering-fma.f32
9 452×accelerator-lowering-fma.f64
2 466×*-lowering-*.f32
2 466×*-lowering-*.f64
2 190×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078810
1224810
2607798
31505782
43740778
56590778
08013744
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
3
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(+ 3 (* 9 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(* 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 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 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)
(* 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 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 27/4 (pow x 3))
(* (pow x 3) (+ 27/4 (* -81/16 x)))
(* (pow x 3) (+ 27/4 (* x (- (* 243/64 x) 81/16))))
(* (pow x 3) (+ 27/4 (* x (- (* x (+ 243/64 (* -729/256 x))) 81/16))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 16 (pow x 2))) (* 12 (/ 1 x))))
(* (pow x 2) (- (+ 9 (/ 16 (pow x 2))) (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3))))))
(* 9 (pow x 2))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 16 (/ 1 x))) x))))
(* (pow x 2) (+ 9 (* -1 (/ (+ 12 (* -1 (/ (- 16 (* 64/3 (/ 1 x))) x))) x))))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 3))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
(* -81 (pow x 2))
-12
(- (* -9 x) 12)
(- (* -9 x) 12)
(- (* -9 x) 12)
(* -9 x)
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -9 x)
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
Outputs
(* 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)
3
#s(literal 3 binary64)
(+ 3 (* 9 (pow x 2)))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(+ 3 (* 9 (pow x 2)))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(+ 3 (* 9 (pow x 2)))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))
(* (pow x 2) (+ 9 (* 3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 3 binary64) (*.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 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* 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))
(* 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)
(* 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))
(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 #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))
(* 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))
(* 27/4 (pow x 3))
(*.f64 #s(literal 27/4 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 27/4 (* -81/16 x)))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 27/4 binary64) (*.f64 x #s(literal -81/16 binary64))))))
(* (pow x 3) (+ 27/4 (* x (- (* 243/64 x) 81/16))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 27/4 binary64) (*.f64 x (+.f64 #s(literal -81/16 binary64) (*.f64 x #s(literal 243/64 binary64)))))))
(* (pow x 3) (+ 27/4 (* x (- (* x (+ 243/64 (* -729/256 x))) 81/16))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 27/4 binary64) (*.f64 x (+.f64 #s(literal -81/16 binary64) (*.f64 x (+.f64 #s(literal 243/64 binary64) (*.f64 x #s(literal -729/256 binary64))))))))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (- (+ 9 (/ 16 (pow x 2))) (* 12 (/ 1 x))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))) #s(literal 16 binary64))
(* (pow x 2) (- (+ 9 (/ 16 (pow x 2))) (+ (* 12 (/ 1 x)) (* 64/3 (/ 1 (pow x 3))))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -64/3 binary64) x)))
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (- 9 (* 12 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64)))
(* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 16 (/ 1 x))) x))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))) #s(literal 16 binary64))
(* (pow x 2) (+ 9 (* -1 (/ (+ 12 (* -1 (/ (- 16 (* 64/3 (/ 1 x))) x))) x))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -12 binary64))) (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -64/3 binary64) x)))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -81 binary64))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
(* -81 (pow x 2))
(*.f64 x (*.f64 x #s(literal -81 binary64)))
-12
#s(literal -12 binary64)
(- (* -9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(- (* -9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(- (* -9 x) 12)
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))
(* -1 (* x (+ 9 (* 12 (/ 1 x)))))
(+.f64 #s(literal -12 binary64) (*.f64 x #s(literal -9 binary64)))

eval84.0ms (1%)

Memory
13.1MiB live, 207.7MiB allocated
Compiler

Compiled 13 055 to 1 273 computations (90.2% saved)

prune66.0ms (0.8%)

Memory
-18.0MiB live, 183.2MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New7411742
Fresh000
Picked145
Done066
Total74211753
Accuracy
100.0%
Counts
753 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.5%
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
99.9%
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
49.0%
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
53.5%
(*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x)
52.9%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x)
52.9%
(*.f64 (*.f64 x x) #s(literal 9 binary64))
53.0%
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
52.9%
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
49.0%
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
4.0%
(*.f64 #s(literal -12 binary64) x)
48.7%
#s(literal 3 binary64)
Compiler

Compiled 276 to 127 computations (54% saved)

regimes26.0ms (0.3%)

Memory
23.4MiB live, 62.1MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 #s(literal -12 binary64) x)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x)
(*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x)
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(+.f64 (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -4 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))
(+.f64 (+.f64 #s(literal 3 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (*.f64 x #s(literal -12 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)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -81 binary64)) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 144 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) x) (-.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 16 binary64))) x) (+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
Calls

4 calls:

7.0ms
x
6.0ms
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
6.0ms
(*.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)))
5.0ms
(+.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)

regimes5.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 #s(literal -12 binary64) x)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) x)
(*.f64 (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))) x)
(*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -4 binary64) (*.f64 #s(literal 3 binary64) x))))
Outputs
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Memory
-22.7MiB live, 15.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 #s(literal -12 binary64) x)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal 3 binary64) x)))
(*.f64 #s(literal 3 binary64) (+.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
97.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 3 binary64)
(*.f64 #s(literal -12 binary64) x)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
Outputs
(*.f64 x (*.f64 x #s(literal 9 binary64)))
#s(literal 3 binary64)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.5%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Accuracy

Total -29.2b remaining (-88.9%)

Threshold costs -29.2b (-88.9%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
48.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch25.0ms (0.3%)

Memory
-17.9MiB live, 62.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.028262279932632313
1160.1691315650248
10.0ms
-2.8163771291888864
-0.014917071597997296
Samples
13.0ms240×0valid
Compiler

Compiled 257 to 209 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (63.9% of total)
ival-sub: 1.0ms (12.8% of total)
ival-add: 1.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory
-3.3MiB live, 35.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
0.028262279932632313
1160.1691315650248
9.0ms
-2.8163771291888864
-0.014917071597997296
Samples
25.0ms240×0valid
Compiler

Compiled 227 to 179 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (63.6% of total)
ival-sub: 1.0ms (12.7% of total)
ival-add: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.5%)

Memory
0.1MiB live, 38.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
28.0ms
0.028262279932632313
1160.1691315650248
9.0ms
-2.8163771291888864
-0.014917071597997296
Samples
30.0ms240×0valid
Compiler

Compiled 167 to 134 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 23.0ms (90% of total)
ival-sub: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
if-if-or-not_binary32
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02765
14665
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x)) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
#s(literal 3 binary64)
Outputs
(+.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64)))) (if (<=.f64 x #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (+.f64 #s(literal -12 binary64) (*.f64 x #s(literal 9 binary64))))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -12 binary64) x)) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -6980579422424269/4503599627370496 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -12 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
(if (<=.f64 x #s(literal -5224175567749775/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))) (if (<=.f64 x #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))
#s(literal 3 binary64)

soundness786.0ms (9.5%)

Memory
-22.5MiB live, 262.9MiB allocated
Rules
6 316×accelerator-lowering-fma.f32
6 316×accelerator-lowering-fma.f64
2 412×*-lowering-*.f32
2 412×*-lowering-*.f64
1 484×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051344
1137344
2323344
3758344
41968340
54245340
65972340
77683340
08028301
Stop Event
fuel
iter limit
node limit
Compiler

Compiled 117 to 56 computations (52.1% saved)

preprocess45.0ms (0.5%)

Memory
2.0MiB live, 121.2MiB allocated
Compiler

Compiled 212 to 92 computations (56.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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