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

Time bar (total: 2.4s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample816.0ms (34.7%)

Memory
-21.5MiB live, 1 469.9MiB allocated
Samples
513.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 364.0ms
ival-mult: 240.0ms (66% of total)
ival-add: 65.0ms (17.9% of total)
ival-sub: 40.0ms (11% of total)
exact: 11.0ms (3% of total)
ival-true: 6.0ms (1.7% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess343.0ms (14.6%)

Memory
11.6MiB live, 130.4MiB allocated
Algorithm
egg-herbie
Rules
1 544×accelerator-lowering-fma.f32
1 544×accelerator-lowering-fma.f64
624×*-lowering-*.f32
624×*-lowering-*.f64
284×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

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

explain292.0ms (12.4%)

Memory
-8.0MiB live, 269.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) x)
00-0-(+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 4 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-(*.f64 x #s(literal 4 binary64))
00-0-(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
00-0-x
00-0-(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
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 (67.5% of total)
ival-sub: 2.0ms (11.3% 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
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify77.0ms (3.3%)

Memory
11.3MiB live, 97.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize47.0ms (2%)

Memory
-28.4MiB live, 50.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy100.0%
(-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64)))
accuracy99.8%
(*.f64 #s(literal 3 binary64) (+.f64 (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) x) (*.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 3 binary64)) x)
Samples
15.0ms256×0valid
Compiler

Compiled 50 to 12 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (72.7% of total)
ival-sub: 1.0ms (12.1% of total)
ival-add: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (- (* (* x 3) x) (* x 4))>
#<alt (* 3 (+ (- (* (* x 3) x) (* x 4)) 1))>
#<alt (+ (- (* (* x 3) x) (* x 4)) 1)>
#<alt (* (* x 3) x)>
#<alt (* x 3)>
Outputs
#<alt (* -4 x)>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* x (- (* 3 x) 4))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 (* -12 x))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (+ 3 (* x (- (* 9 x) 12)))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 9 (/ 3 (pow x 2))) (* 12 (/ 1 x))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (- 9 (* 12 (/ 1 x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 9 (* -1 (/ (- 12 (* 3 (/ 1 x))) x))))>
#<alt 1>
#<alt (+ 1 (* -4 x))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (+ 1 (* x (- (* 3 x) 4)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 3 (/ 1 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (- 3 (* 4 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 3 (* -1 (/ (- 4 (/ 1 x)) x))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(- (* (* x 3) x) (* x 4))
0.0ms
x
@0
(- (* (* x 3) x) (* x 4))
0.0ms
x
@inf
(* (* x 3) x)
0.0ms
x
@-inf
(* x 3)
0.0ms
x
@-inf
(+ (- (* (* x 3) x) (* x 4)) 1)

rewrite384.0ms (16.3%)

Memory
27.5MiB live, 851.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 226×accelerator-lowering-fma.f32
8 226×accelerator-lowering-fma.f64
4 388×*-lowering-*.f32
4 388×*-lowering-*.f64
2 760×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify225.0ms (9.6%)

Memory
-16.4MiB live, 399.5MiB allocated
Algorithm
egg-herbie
Rules
6 316×accelerator-lowering-fma.f32
6 316×accelerator-lowering-fma.f64
2 456×*-lowering-*.f32
2 456×*-lowering-*.f64
1 484×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

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

eval102.0ms (4.3%)

Memory
12.2MiB live, 130.3MiB allocated
Compiler

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

prune50.0ms (2.1%)

Memory
-27.7MiB live, 131.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3967403
Fresh000
Picked101
Done000
Total3977404
Accuracy
100.0%
Counts
404 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
65.7%
(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 (fma.f64 x #s(literal 3 binary64) #s(literal 4 binary64)))) #s(literal 3 binary64))
99.8%
(fma.f64 (*.f64 x (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))) #s(literal 3 binary64) #s(literal 3 binary64))
99.8%
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
99.9%
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
54.6%
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
53.5%
#s(literal 3 binary64)
Compiler

Compiled 130 to 84 computations (35.4% saved)

simplify11.0ms (0.5%)

Memory
20.9MiB live, 20.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff320
(fma.f64 (*.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64)) #s(literal 3 binary64))
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff0
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 9 binary64) #s(literal 0 binary64))
cost-diff0
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
cost-diff0
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
Rules
218×accelerator-lowering-fma.f32
218×accelerator-lowering-fma.f64
108×+-lowering-+.f64
108×+-lowering-+.f32
84×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02058
14658
29858
313758
416258
518158
618158
018151
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x (+ (* x 9) -12)) 3)
x
(+ (* x 9) -12)
9
-12
3
3
(+ (* x -12) 3)
x
-12
3
(+ (* (+ (* x x) 0) 9) 0)
(+ (* x x) 0)
x
0
9
(+ (* (* x 3) (+ (* x 3) -4)) 3)
(* x 3)
x
3
(+ (* x 3) -4)
-4
Outputs
(+ (* x (+ (* x 9) -12)) 3)
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
x
(+ (* x 9) -12)
(fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64))
9
#s(literal 9 binary64)
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
3
#s(literal 3 binary64)
(+ (* x -12) 3)
(fma.f64 x #s(literal -12 binary64) #s(literal 3 binary64))
x
-12
#s(literal -12 binary64)
3
#s(literal 3 binary64)
(+ (* (+ (* x x) 0) 9) 0)
(fma.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
9
#s(literal 9 binary64)
(+ (* (* x 3) (+ (* x 3) -4)) 3)
(fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -12 binary64)) #s(literal 3 binary64))
(* x 3)
(*.f64 x #s(literal 3 binary64))
x
3
#s(literal 3 binary64)
(+ (* x 3) -4)
(fma.f64 x #s(literal 3 binary64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Samples
0.0ms0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

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

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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