x*x + 1e18 - 1e9*x

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.2%99.8%0%0%0%0
100%0.2%0%99.8%0%0%0%1
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample697.0ms (22.9%)

Memory
14.6MiB live, 239.8MiB allocated
Samples
451.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-mult: 116.0ms (40.9% of total)
ival-<=: 50.0ms (17.6% of total)
ival-add: 44.0ms (15.5% of total)
ival-sub: 42.0ms (14.8% of total)
exact: 17.0ms (6% of total)
ival-and: 12.0ms (4.2% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain73.0ms (2.4%)

Memory
-1.0MiB live, 39.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 x x)
00-0-#s(literal 1000000000 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64))
00-0-(*.f64 #s(literal 1000000000 binary64) x)
00-0-(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
00-0-#s(literal 1000000000000000000 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
24.0ms512×0valid
Compiler

Compiled 60 to 25 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (51.1% of total)
ival-add: 2.0ms (17% of total)
ival-sub: 2.0ms (17% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess45.0ms (1.5%)

Memory
2.9MiB live, 10.4MiB allocated
Algorithm
1×egg-herbie
Rules
416×lower-fma.f64
416×lower-fma.f32
168×lower-*.f32
164×lower-*.f64
120×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
13219
210414
325014
439914
551114
654014
754814
079
0119
1219
2397
3637
4967
51547
62777
73977
85437
95627
105707
05706
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Outputs
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify27.0ms (0.9%)

Memory
-2.5MiB live, 5.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1000000000 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64))
cost-diff320
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Rules
416×lower-fma.f64
416×lower-fma.f32
168×lower-*.f32
164×lower-*.f64
120×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12123
23921
36321
49621
515421
627721
739721
854321
956221
1057021
057019
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
(+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64))
(*.f64 x x)
x
#s(literal 1000000000000000000 binary64)
(*.f64 #s(literal 1000000000 binary64) x)
#s(literal 1000000000 binary64)
Outputs
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(*.f64 x x)
x
#s(literal 1000000000000000000 binary64)
(*.f64 #s(literal 1000000000 binary64) x)
(*.f64 x #s(literal 1000000000 binary64))
#s(literal 1000000000 binary64)

localize22.0ms (0.7%)

Memory
-0.5MiB live, 8.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0
(*.f64 #s(literal 1000000000 binary64) x)
accuracy0.078125
(+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64))
accuracy0.33203125
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Samples
13.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47.5% of total)
ival-add: 1.0ms (15.8% of total)
ival-sub: 1.0ms (15.8% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
1.1MiB live, 1.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))>
#<alt (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 #s(literal 1000000000 binary64) x)>
Outputs
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (pow x 2))>
#<alt (+ 1000000000000000000 (pow x 2))>
#<alt (+ 1000000000000000000 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* 1000000000 x)
0.0ms
x
@inf
(- (+ (* x x) 1000000000000000000) (* 1000000000 x))
0.0ms
x
@inf
(* 1000000000 x)
0.0ms
x
@0
(- (+ (* x x) 1000000000000000000) (* 1000000000 x))
0.0ms
x
@0
(* 1000000000 x)

simplify243.0ms (8%)

Memory
-0.0MiB live, 80.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 152×lower-fma.f64
8 152×lower-fma.f32
2 680×lower-*.f64
2 680×lower-*.f32
1 522×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033196
191196
2212196
3590188
41605188
52844188
64505188
75986188
87573188
08172172
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* x (- x 1000000000)))
(+ 1000000000000000000 (* x (- x 1000000000)))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
1000000000000000000
(+ 1000000000000000000 (pow x 2))
(+ 1000000000000000000 (pow x 2))
(+ 1000000000000000000 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
Outputs
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 #s(literal -1000000000 binary64) x) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 #s(literal -1000000000 binary64) x) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1000000000 binary64) x))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 #s(literal -1000000000 binary64) x) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 #s(literal -1000000000 binary64) x) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1000000000 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 #s(literal -1000000000 binary64) x) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 #s(literal -1000000000 binary64) x) #s(literal 1000000000000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (pow x 2))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (pow x 2))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (pow x 2))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))

rewrite364.0ms (12%)

Memory
-14.8MiB live, 138.7MiB allocated
Rules
8 514×lower-fma.f64
8 514×lower-fma.f32
5 306×lower-*.f32
5 302×lower-*.f64
2 302×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
15020
239518
3529718
0853716
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 246
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
(+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64))
(*.f64 x x)
(*.f64 #s(literal 1000000000 binary64) x)
Outputs
(+.f64 (*.f64 x x) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(+.f64 #s(literal 1000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))
(+.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 x #s(literal -1000000000 binary64)))
(+.f64 (*.f64 x #s(literal -1000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))
(+.f64 (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))) (fma.f64 x (*.f64 #s(literal 1000000000 binary64) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1000000000000000000000000000 binary64) x)) (fma.f64 x (*.f64 #s(literal 1000000000 binary64) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64)))))
(+.f64 (*.f64 x (+.f64 x #s(literal -1000000000 binary64))) #s(literal 1000000000000000000 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1000000000000000000 binary64) (-.f64 (*.f64 x #s(literal 1000000000 binary64)) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 x #s(literal 1000000000 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))) (fma.f64 x (*.f64 #s(literal 1000000000 binary64) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1000000000000000000000000000 binary64) x)) (fma.f64 x (*.f64 #s(literal 1000000000 binary64) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (-.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (*.f64 x #s(literal -1000000000 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (+.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (*.f64 x #s(literal 1000000000 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 1000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (fma.f64 x x #s(literal -1000000000000000000 binary64)) (*.f64 x #s(literal 1000000000 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))) (+.f64 (fma.f64 x x #s(literal -1000000000000000000 binary64)) (*.f64 x #s(literal 1000000000 binary64)))))
(-.f64 (+.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1000000000 binary64)))
(-.f64 (fma.f64 x #s(literal -1000000000 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1000000000000000000 binary64)))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x x #s(literal -1000000000000000000 binary64))))
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(fma.f64 x #s(literal -1000000000 binary64) (fma.f64 x x #s(literal 1000000000000000000 binary64)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(fma.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (/.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))) (fma.f64 x (*.f64 #s(literal 1000000000 binary64) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1000000000000000000000000000 binary64) x)) (fma.f64 x (*.f64 #s(literal 1000000000 binary64) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))))))
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(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1000000000000000000 binary64)) #s(literal 1000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1000000000000000000000000000000000000000000000000000000 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1000000000 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 1000000000 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1000000000 binary64))
(*.f64 #s(literal 1000000000 binary64) x)

eval34.0ms (1.1%)

Memory
5.6MiB live, 27.7MiB allocated
Compiler

Compiled 9 914 to 731 computations (92.6% saved)

prune33.0ms (1.1%)

Memory
3.0MiB live, 35.9MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2868294
Fresh000
Picked101
Done000
Total2878295
Accuracy
100.0%
Counts
295 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
▶99.8%
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
▶12.1%
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
99.9%
(+.f64 (*.f64 x (+.f64 x #s(literal -1000000000 binary64))) #s(literal 1000000000000000000 binary64))
▶12.1%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
11.9%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x (+.f64 #s(literal -1000000000 binary64) x)))
19.4%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x))
▶19.3%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
Compiler

Compiled 102 to 66 computations (35.3% saved)

simplify32.0ms (1%)

Memory
-6.8MiB live, 6.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
cost-diff192
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
cost-diff0
(*.f64 #s(literal 1000000000 binary64) x)
cost-diff0
#s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64))
cost-diff128
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
cost-diff0
(fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))
cost-diff0
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
cost-diff0
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
cost-diff0
(-.f64 x #s(literal 1000000000 binary64))
cost-diff0
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
Rules
496×lower-fma.f32
488×lower-fma.f64
200×lower-*.f32
198×lower-*.f64
144×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
02882
14876
26676
38776
412976
519876
634076
747376
863576
965876
1066676
066673
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
x
(-.f64 x #s(literal 1000000000 binary64))
#s(literal 1000000000 binary64)
#s(literal 1000000000000000000 binary64)
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
#s(literal 1000000000000000000 binary64)
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
(fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))
#s(literal -1000000000 binary64)
x
#s(literal 1000000000000000000 binary64)
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
#s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64))
#s(literal 1000000000000000000 binary64)
(*.f64 #s(literal 1000000000 binary64) x)
#s(literal 1000000000 binary64)
x
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
x
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
#s(literal -1000000000 binary64)
#s(literal 1000000000000000000 binary64)
Outputs
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
x
(-.f64 x #s(literal 1000000000 binary64))
(+.f64 x #s(literal -1000000000 binary64))
#s(literal 1000000000 binary64)
#s(literal 1000000000000000000 binary64)
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
#s(literal 1000000000000000000 binary64)
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
#s(literal -1000000000 binary64)
x
#s(literal 1000000000000000000 binary64)
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
(fma.f64 x #s(literal -1000000000 binary64) #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)))
#s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64))
#s(literal 1000000000000000000 binary64)
(*.f64 #s(literal 1000000000 binary64) x)
(*.f64 x #s(literal 1000000000 binary64))
#s(literal 1000000000 binary64)
x
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
x
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
#s(literal -1000000000 binary64)
#s(literal 1000000000000000000 binary64)

localize45.0ms (1.5%)

Memory
-4.2MiB live, 18.8MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
accuracy0.11328125
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
accuracy0
(*.f64 #s(literal 1000000000 binary64) x)
accuracy0.33203125
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
accuracy51.392506905380166
#s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64))
accuracy0
(fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))
accuracy56.272862281729935
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
accuracy51.63011375553962
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
accuracy0
(-.f64 x #s(literal 1000000000 binary64))
accuracy0.01171875
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
Samples
29.0ms256×0valid
Compiler

Compiled 79 to 18 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 10.0ms (54.5% of total)
ival-add: 5.0ms (27.3% of total)
ival-sub: 3.0ms (16.4% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
1.3MiB live, 1.3MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))>
#<alt (-.f64 x #s(literal 1000000000 binary64))>
#<alt #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))>
#<alt #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))>
#<alt (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))>
#<alt (-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))>
#<alt #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64))>
#<alt (*.f64 #s(literal 1000000000 binary64) x)>
#<alt (fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))>
#<alt (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))>
Outputs
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt -1000000000>
#<alt (- x 1000000000)>
#<alt (- x 1000000000)>
#<alt (- x 1000000000)>
#<alt x>
#<alt (* x (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* x (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* x (- 1 (* 1000000000 (/ 1 x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (* -1000000000 x)>
#<alt (* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))>
#<alt (* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))>
#<alt (* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))>
#<alt (* -1000000000 x)>
#<alt (* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (pow x 2))>
#<alt (+ 1000000000000000000 (pow x 2))>
#<alt (+ 1000000000000000000 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt (* 1000000000 x)>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (+ 1000000000000000000 (* x (- x 1000000000)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))>
#<alt 1000000000000000000>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (+ 1000000000000000000 (* -1000000000 x))>
#<alt (* -1000000000 x)>
#<alt (* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))>
#<alt (* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))>
#<alt (* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))>
#<alt (* -1000000000 x)>
#<alt (* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (* x (- x 1000000000)) 1000000000000000000)
0.0ms
x
@inf
(+ (* -1000000000 x) 1000000000000000000)
0.0ms
x
@0
(+ (* -1000000000 x) 1000000000000000000)
0.0ms
x
@inf
(- x 1000000000)
0.0ms
x
@-inf
(- x 1000000000)

simplify221.0ms (7.2%)

Memory
-1.0MiB live, 62.3MiB allocated
Algorithm
1×egg-herbie
Rules
5 104×lower-fma.f64
5 104×lower-fma.f32
2 240×lower-*.f64
2 240×lower-*.f32
1 456×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041582
1113582
2280582
3793542
42463542
54243542
65431542
76410542
87770542
08002480
Stop Event
1×iter limit
1×node limit
Counts
120 → 118
Calls
Call 1
Inputs
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* x (- x 1000000000)))
(+ 1000000000000000000 (* x (- x 1000000000)))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
-1000000000
(- x 1000000000)
(- x 1000000000)
(- x 1000000000)
x
(* x (- 1 (* 1000000000 (/ 1 x))))
(* x (- 1 (* 1000000000 (/ 1 x))))
(* x (- 1 (* 1000000000 (/ 1 x))))
x
(* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))
(* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))
(* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* x (- x 1000000000)))
(+ 1000000000000000000 (* x (- x 1000000000)))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* x (- x 1000000000)))
(+ 1000000000000000000 (* x (- x 1000000000)))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* -1000000000 x))
(* -1000000000 x)
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(* -1000000000 x)
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* x (- x 1000000000)))
(+ 1000000000000000000 (* x (- x 1000000000)))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
1000000000000000000
(+ 1000000000000000000 (pow x 2))
(+ 1000000000000000000 (pow x 2))
(+ 1000000000000000000 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
(* 1000000000 x)
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* x (- x 1000000000)))
(+ 1000000000000000000 (* x (- x 1000000000)))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
1000000000000000000
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* -1000000000 x))
(+ 1000000000000000000 (* -1000000000 x))
(* -1000000000 x)
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(* -1000000000 x)
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
Outputs
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
-1000000000
#s(literal -1000000000 binary64)
(- x 1000000000)
(+.f64 x #s(literal -1000000000 binary64))
(- x 1000000000)
(+.f64 x #s(literal -1000000000 binary64))
(- x 1000000000)
(+.f64 x #s(literal -1000000000 binary64))
x
(* x (- 1 (* 1000000000 (/ 1 x))))
(+.f64 x #s(literal -1000000000 binary64))
(* x (- 1 (* 1000000000 (/ 1 x))))
(+.f64 x #s(literal -1000000000 binary64))
(* x (- 1 (* 1000000000 (/ 1 x))))
(+.f64 x #s(literal -1000000000 binary64))
x
(* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))
(+.f64 x #s(literal -1000000000 binary64))
(* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))
(+.f64 x #s(literal -1000000000 binary64))
(* -1 (* x (- (* 1000000000 (/ 1 x)) 1)))
(+.f64 x #s(literal -1000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1000000000 x)
(*.f64 x #s(literal -1000000000 binary64))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1000000000 x)
(*.f64 x #s(literal -1000000000 binary64))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (pow x 2))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (pow x 2))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (pow x 2))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* 1000000000000000000 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal 1000000000000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
(* 1000000000 x)
(*.f64 x #s(literal 1000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* x (- x 1000000000)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (- (+ 1 (/ 1000000000000000000 (pow x 2))) (* 1000000000 (/ 1 x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 1000000000 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal -1000000000 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 1000000000 (* 1000000000000000000 (/ 1 x))) x))))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
1000000000000000000
#s(literal 1000000000000000000 binary64)
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(+ 1000000000000000000 (* -1000000000 x))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1000000000 x)
(*.f64 x #s(literal -1000000000 binary64))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* x (- (* 1000000000000000000 (/ 1 x)) 1000000000))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1000000000 x)
(*.f64 x #s(literal -1000000000 binary64))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
(* -1 (* x (- 1000000000 (* 1000000000000000000 (/ 1 x)))))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))

rewrite349.0ms (11.5%)

Memory
8.2MiB live, 154.2MiB allocated
Rules
10 968×lower-fma.f32
10 960×lower-fma.f64
4 320×lower-*.f32
4 318×lower-*.f64
3 378×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01870
02869
114163
2106963
0852360
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 435
Calls
Call 1
Inputs
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(-.f64 x #s(literal 1000000000 binary64))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
(fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
#s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64))
(*.f64 #s(literal 1000000000 binary64) x)
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))
Outputs
(+.f64 #s(literal 1000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))
(+.f64 (*.f64 x x) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(+.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 x #s(literal -1000000000 binary64)))
(+.f64 (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)) (*.f64 x x))
(+.f64 (*.f64 x (+.f64 x #s(literal -1000000000 binary64))) #s(literal 1000000000000000000 binary64))
(+.f64 (*.f64 x #s(literal -1000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))) (fma.f64 (*.f64 x #s(literal 1000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1000000000000000000000000000 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 1000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64)))))
(+.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1000000000 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))) (fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal -1000000000000000000 binary64))) (neg.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal -1000000000000000000 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal -1000000000000000000 binary64))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal -1000000000000000000 binary64)))))
(-.f64 #s(literal 1000000000000000000 binary64) (-.f64 (*.f64 x #s(literal 1000000000 binary64)) (*.f64 x x)))
(-.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 x #s(literal 1000000000 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64)))) (fma.f64 (*.f64 x #s(literal 1000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))) (/.f64 (*.f64 (*.f64 x #s(literal -1000000000000000000000000000 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x #s(literal 1000000000 binary64)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64)) (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (-.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1000000000 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))) (fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal -1000000000000000000 binary64))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal -1000000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal -1000000000000000000 binary64))) (/.f64 (*.f64 (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))) (fma.f64 x (+.f64 x #s(literal 1000000000 binary64)) #s(literal -1000000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (-.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (*.f64 x #s(literal -1000000000 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (+.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x x #s(literal -1000000000000000000 binary64))) (*.f64 x #s(literal 1000000000 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x #s(literal 1000000000 binary64)) (fma.f64 x x #s(literal 1000000000000000000 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))) (-.f64 #s(literal 1000000000000000000 binary64) (fma.f64 x #s(literal 1000000000 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1000000000000000000 binary64) (fma.f64 x #s(literal 1000000000 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (-.f64 #s(literal 1000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))) (/.f64 (*.f64 (+.f64 x #s(literal -1000000000 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))) (-.f64 #s(literal 1000000000000000000 binary64) (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))))
(-.f64 (fma.f64 x x (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64)))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))))
(-.f64 (+.f64 (fma.f64 x x #s(literal 1000000000000000000 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1000000000 binary64)))
(-.f64 (fma.f64 x #s(literal -1000000000 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -1000000000000000000 binary64)))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x x #s(literal -1000000000000000000 binary64))))
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(fma.f64 x (+.f64 x #s(literal -1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(fma.f64 x #s(literal -1000000000 binary64) (fma.f64 x x #s(literal 1000000000000000000 binary64)))
(fma.f64 #s(literal 1000000000 binary64) (neg.f64 x) (fma.f64 x x #s(literal 1000000000000000000 binary64)))
(fma.f64 (+.f64 x #s(literal -1000000000 binary64)) x #s(literal 1000000000000000000 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (fma.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64)))) (*.f64 (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x)) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))) (/.f64 #s(literal 1000000000000000000000000000000000000 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1000000000 binary64) #s(literal 1000000000000000000 binary64))))
(*.f64 (fma.f64 (*.f64 x #s(literal -1000000000000000000000000000 binary64)) (*.f64 x x) #s(literal 1000000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1000000000000000000000000000000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1000000000000000000 binary64)) #s(literal -1000000000000000000000000000 binary64))))))
(*.f64 (fma.f64 x (*.f64 #s(literal 1000000000000000000 binary64) x) #s(literal -1000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal -1000000000000000000 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1000000000000000000 binary64) #s(literal 1000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1000000000 binary64) #s(literal 1000000000000000000 binary64))))
(*.f64 (fma.f64 (*.f64 x #s(literal -1000000000000000000000000000 binary64)) (*.f64 x x) #s(literal -1000000000000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1000000000000000000000000000000000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1000000000000000000 binary64)) #s(literal -1000000000000000000000000000 binary64)))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))

eval86.0ms (2.8%)

Memory
-3.8MiB live, 48.0MiB allocated
Compiler

Compiled 13 228 to 733 computations (94.5% saved)

prune42.0ms (1.4%)

Memory
2.0MiB live, 43.1MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New5521553
Fresh123
Picked055
Done000
Total5538561
Accuracy
100.0%
Counts
561 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
✓99.8%
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
✓12.1%
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
99.9%
(+.f64 (*.f64 x (+.f64 x #s(literal -1000000000 binary64))) #s(literal 1000000000000000000 binary64))
✓12.1%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
11.9%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))
19.4%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x))
✓19.3%
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
Compiler

Compiled 110 to 52 computations (52.7% saved)

regimes6.0ms (0.2%)

Memory
-2.9MiB live, 4.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x (+.f64 #s(literal -1000000000 binary64) x)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal -1000000000 binary64))) #s(literal 1000000000000000000 binary64))
(fma.f64 x x (fma.f64 x #s(literal -1000000000 binary64) #s(literal 1000000000000000000 binary64)))
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Outputs
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
Calls

2 calls:

3.0ms
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x (+.f64 #s(literal -1000000000 binary64) x)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x (+.f64 x #s(literal -1000000000 binary64))))
(-.f64 #s(approx (+ (* x x) 1000000000000000000) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Outputs
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x))
Calls

2 calls:

2.0ms
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
2.0ms
x
Results
AccuracySegmentsBranch
22.6%2x
22.5%2(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
-4.6MiB live, 3.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x))
Outputs
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
Results
AccuracySegmentsBranch
21.7%2(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
21.7%2x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
Outputs
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
Calls

2 calls:

1.0ms
(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
1.0ms
x
Results
AccuracySegmentsBranch
19.3%1(-.f64 (+.f64 (*.f64 x x) #s(literal 1000000000000000000 binary64)) (*.f64 #s(literal 1000000000 binary64) x))
19.3%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
614069501.7881248
626481921.2718222
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch2.0ms (0.1%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
962098262.4754032
1017168483.4045235
Samples
1.0ms16×0valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

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

simplify9.0ms (0.3%)

Memory
-4.2MiB live, 4.1MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02076
12276
22776
32976
43076
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(if (<=.f64 x #s(literal 620000000 binary64)) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1000000000 binary64)) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64)) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))
Outputs
(fma.f64 x (-.f64 x #s(literal 1000000000 binary64)) #s(literal 1000000000000000000 binary64))
(if (<=.f64 x #s(literal 620000000 binary64)) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (fma.f64 #s(literal -1000000000 binary64) x #s(literal 1000000000000000000 binary64))) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x)))
(if (<=.f64 x #s(literal 1000000000 binary64)) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64)) #s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) (*.f64 x x)))
#s(approx (- (+ (* x x) 1000000000000000000) (* 1000000000 x)) #s(literal 1000000000000000000 binary64))

soundness627.0ms (20.6%)

Memory
5.0MiB live, 5.0MiB allocated
Rules
8 514×lower-fma.f64
8 514×lower-fma.f32
8 152×lower-fma.f64
8 152×lower-fma.f32
5 306×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033196
191196
2212196
3590188
41605188
52844188
64505188
75986188
87573188
08172172
0720
01120
15020
239518
3529718
0853716
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 65 to 34 computations (47.7% saved)

preprocess70.0ms (2.3%)

Memory
-4.7MiB live, 28.3MiB allocated
Compiler

Compiled 84 to 40 computations (52.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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