Statistics.Correlation.Kendall:numOfTiesBy from math-functions-0.1.5.2

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

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 7 to 6 computations (14.3% saved)

sample593.0ms (16.7%)

Memory
23.9MiB live, 1 116.4MiB allocated
Samples
362.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-mult: 80.0ms (48.5% of total)
ival-sub: 71.0ms (43% of total)
ival-true: 6.0ms (3.6% of total)
exact: 5.0ms (3% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

explain49.0ms (1.4%)

Memory
-2.1MiB live, 116.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
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
18.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (50.3% of total)
ival-sub: 3.0ms (37.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess23.0ms (0.7%)

Memory
-16.3MiB live, 60.1MiB allocated
Algorithm
egg-herbie
Rules
144×lower-fma.f64
144×lower-fma.f32
88×lower-*.f32
86×lower-*.f64
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12211
25510
316110
421010
521810
045
065
1125
2185
3215
4235
5285
6385
7565
81135
91995
102285
112285
02285
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 x))
Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify8.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Rules
144×lower-fma.f64
144×lower-fma.f32
88×lower-*.f32
86×lower-*.f64
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11210
21810
32110
42310
52810
63810
75610
811310
919910
1022810
1122810
022810
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 x))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

localize15.0ms (0.4%)

Memory
-4.4MiB live, 34.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.0078125
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (64.8% of total)
ival-sub: 2.0ms (43.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify163.0ms (4.6%)

Memory
-16.3MiB live, 139.7MiB allocated
Algorithm
egg-herbie
Rules
5 856×lower-fma.f64
5 856×lower-fma.f32
3 966×lower-*.f64
3 966×lower-*.f32
1 360×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01583
13283
27583
313383
438183
5159283
6275783
7387583
8522483
9670583
10760083
0801083
Stop Event
iter limit
node limit
Counts
24 → 22
Calls
Call 1
Inputs
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
-1
(- x 1)
(- x 1)
(- x 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite286.0ms (8%)

Memory
11.4MiB live, 326.5MiB allocated
Rules
8 622×lower-fma.f64
8 622×lower-fma.f32
4 178×lower-/.f64
4 178×lower-/.f32
3 404×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1258
21388
312508
089528
Stop Event
iter limit
node limit
iter limit
Counts
2 → 299
Calls
Call 1
Inputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (neg.f64 x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (fma.f64 (neg.f64 x) x (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) x) (fma.f64 (neg.f64 x) x (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x)))))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x)))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))

eval127.0ms (3.6%)

Memory
-18.0MiB live, 100.1MiB allocated
Compiler

Compiled 6 888 to 877 computations (87.3% saved)

prune5.0ms (0.2%)

Memory
26.8MiB live, 26.8MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New3183321
Fresh000
Picked101
Done000
Total3193322
Accuracy
100.0%
Counts
322 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (neg.f64 x))
48.6%
#s(approx (* x (- x 1)) (*.f64 x x))
53.9%
#s(approx (* x (- x 1)) (neg.f64 x))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify10.0ms (0.3%)

Memory
-17.1MiB live, 21.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 x x (neg.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* x (- x 1)) (*.f64 x x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (* x (- x 1)) (neg.f64 x))
Rules
144×lower-fma.f32
142×lower-fma.f64
88×lower-*.f32
86×lower-*.f64
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
01232
12232
23132
34232
46032
511732
620532
723432
823432
023432
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)
Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (neg.f64 x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(neg.f64 x)

localize26.0ms (0.7%)

Memory
15.9MiB live, 58.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy0
(*.f64 x x)
accuracy32.883879908836185
#s(approx (* x (- x 1)) (*.f64 x x))
accuracy0
(neg.f64 x)
accuracy29.513501984858852
#s(approx (* x (- x 1)) (neg.f64 x))
Samples
20.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (65% of total)
ival-sub: 2.0ms (16.2% of total)
ival-add: 1.0ms (8.1% of total)
ival-neg: 1.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 x)) (patch #s(approx (* x (- x 1)) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (neg.f64 x)) (patch (fma.f64 x x (neg.f64 x)) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify152.0ms (4.3%)

Memory
-23.3MiB live, 182.0MiB allocated
Algorithm
egg-herbie
Rules
7 050×lower-fma.f64
7 050×lower-fma.f32
4 338×lower-*.f64
4 338×lower-*.f32
1 582×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011219
122219
240219
382219
4191219
5373219
6698219
72322219
83755219
95759219
107525219
08089219
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) 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)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) 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) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) 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) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

rewrite114.0ms (3.2%)

Memory
25.4MiB live, 217.5MiB allocated
Rules
4 136×lower-fma.f32
4 134×lower-fma.f64
3 126×lower-/.f64
3 126×lower-/.f32
1 934×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0927
01227
14827
232722
3361122
0850722
Stop Event
iter limit
node limit
iter limit
Counts
5 → 277
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) (neg.f64 x))
(neg.f64 x)
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
(fma.f64 x x (neg.f64 x))
Outputs
#s(approx (* x (- x 1)) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x)
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 x (/.f64 #s(literal 0 binary64) x))
(exp.f64 (log.f64 x))
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) (*.f64 x x)))
(-.f64 (*.f64 x x) #s(literal 0 binary64))
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(/.f64 x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (fma.f64 x x x))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x) x)
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x (*.f64 x x))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) x)
(fma.f64 (*.f64 x x) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x x)
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 x x x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal 0 binary64) (fma.f64 x x x))))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal 0 binary64) (fma.f64 x x x))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 x x x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (fma.f64 x x x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) x) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x x))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x x))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (fma.f64 x x x))
(-.f64 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))

eval109.0ms (3.1%)

Memory
-27.2MiB live, 52.7MiB allocated
Compiler

Compiled 4 760 to 698 computations (85.3% saved)

prune9.0ms (0.2%)

Memory
23.0MiB live, 23.0MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3882390
Fresh000
Picked033
Done000
Total3885393
Accuracy
100.0%
Counts
393 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (neg.f64 x))
48.6%
#s(approx (* x (- x 1)) (*.f64 x x))
3.4%
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
53.9%
#s(approx (* x (- x 1)) (neg.f64 x))
4.0%
#s(approx (* x (- x 1)) x)
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify10.0ms (0.3%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 (*.f64 x x))
cost-diff0
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
cost-diff0
#s(approx (* x (- x 1)) x)
Rules
144×lower-fma.f64
144×lower-fma.f32
88×lower-*.f32
86×lower-*.f64
48×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01026
12126
22926
33926
45126
56626
68326
715226
821026
923326
1023326
023326
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) x)
x
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (* x (- x 1)) x)
x
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
#s(approx (* x (- x 1)) (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x x))
(*.f64 (neg.f64 x) x)
(*.f64 x x)
x

localize53.0ms (1.5%)

Memory
-7.7MiB live, 29.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 (*.f64 x x))
accuracy61.80131414164302
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
accuracy61.45616771482471
#s(approx (* x (- x 1)) x)
Samples
48.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44% of total)
ival-sub: 2.0ms (29.4% of total)
ival-neg: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())
#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())
#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) x) (patch #s(approx (* x (- x 1)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) (patch #s(approx (* x (- x 1)) (neg.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (neg.f64 (*.f64 x x)) (patch (neg.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* x (- x 1)) (* x (- x 1)) (neg (* x x)) (* x x))
0.0ms
x
@-inf
((* x (- x 1)) (* x (- x 1)) (neg (* x x)) (* x x))
0.0ms
x
@0
((* x (- x 1)) (* x (- x 1)) (neg (* x x)) (* x x))

simplify302.0ms (8.5%)

Memory
-27.0MiB live, 96.7MiB allocated
Algorithm
egg-herbie
Rules
6 832×lower-fma.f64
6 832×lower-fma.f32
4 180×lower-*.f64
4 180×lower-*.f32
1 318×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012190
125190
246190
385190
4192190
5379190
6700190
72338190
83827190
96243190
08056190
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.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) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.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) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.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)

rewrite239.0ms (6.7%)

Memory
43.6MiB live, 151.6MiB allocated
Rules
5 036×lower-/.f64
5 036×lower-/.f32
3 930×lower-*.f32
3 928×lower-*.f64
3 748×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01024
13524
216424
3141224
0868624
Stop Event
iter limit
node limit
iter limit
Counts
4 → 77
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
(neg.f64 (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 x (neg.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 x x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) x #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 x (neg.f64 x) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)))
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval147.0ms (4.1%)

Memory
-65.7MiB live, 41.5MiB allocated
Compiler

Compiled 1 106 to 269 computations (75.7% saved)

prune5.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1250125
Fresh000
Picked022
Done033
Total1255130
Accuracy
100.0%
Counts
130 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x (neg.f64 x))
48.6%
#s(approx (* x (- x 1)) (*.f64 x x))
3.4%
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
53.9%
#s(approx (* x (- x 1)) (neg.f64 x))
4.0%
#s(approx (* x (- x 1)) x)
Compiler

Compiled 43 to 27 computations (37.2% saved)

regimes10.0ms (0.3%)

Memory
23.5MiB live, 23.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (neg.f64 x))
Outputs
(fma.f64 x x (neg.f64 x))
Calls

2 calls:

5.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes38.0ms (1.1%)

Memory
-13.1MiB live, 23.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Calls

2 calls:

34.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes39.0ms (1.1%)

Memory
11.0MiB live, 48.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))
#s(approx (* x (- x 1)) (neg.f64 (*.f64 x x)))
Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) (*.f64 x x))
Calls

2 calls:

28.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
11.0ms
x
Results
AccuracySegmentsBranch
97.7%3x
97.7%2(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes39.0ms (1.1%)

Memory
-23.7MiB live, 21.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) x)
#s(approx (* x (- x 1)) (neg.f64 x))
Outputs
#s(approx (* x (- x 1)) (neg.f64 x))
#s(approx (* x (- x 1)) x)
Calls

2 calls:

36.0ms
x
3.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
55.5%2x
53.9%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (0.2%)

Memory
11.2MiB live, 11.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* x (- x 1)) x)
Outputs
#s(approx (* x (- x 1)) x)
Calls

2 calls:

3.0ms
(*.f64 x (-.f64 x #s(literal 1 binary64)))
3.0ms
x
Results
AccuracySegmentsBranch
4.0%1(*.f64 x (-.f64 x #s(literal 1 binary64)))
4.0%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00021364938009892917
2021969.4685658168
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch54.0ms (1.5%)

Memory
-14.9MiB live, 21.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
53.0ms
0.9189218088875626
1422.459816086874
Samples
49.0ms128×0valid
Compiler

Compiled 48 to 64 computations (-33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (54.1% of total)
ival-mult: 1.0ms (54.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify72.0ms (2%)

Memory
35.3MiB live, 74.6MiB allocated
Algorithm
egg-herbie
Rules
10×neg-mul-1-binary64-*.f64-neg.f64
*-commutative-binary64-*.f64
unsub-neg-binary64--.f64-neg.f64-+.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761
12661
23161
33761
44461
55361
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) x))
#s(approx (* x (- x 1)) x)
Outputs
(fma.f64 x x (neg.f64 x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(if (<=.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(if (<=.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (* x (- x 1)) (neg.f64 x)) #s(approx (* x (- x 1)) x))
#s(approx (* x (- x 1)) x)

soundness744.0ms (20.9%)

Memory
-29.8MiB live, 247.5MiB allocated
Rules
8 622×lower-fma.f64
8 622×lower-fma.f32
5 856×lower-fma.f64
5 856×lower-fma.f32
4 178×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01227
14827
232722
3361122
0850722
01583
13283
27583
313383
438183
5159283
6275783
7387583
8522483
9670583
10760083
0801083
048
068
1258
21388
312508
089528
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 63 to 37 computations (41.3% saved)

preprocess101.0ms (2.8%)

Memory
3.9MiB live, 79.0MiB allocated
Compiler

Compiled 92 to 44 computations (52.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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