Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A

Time bar (total: 8.1s)

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample965.0ms (11.9%)

Memory
5.3MiB live, 1 780.7MiB allocated
Samples
714.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 520.0ms
const: 272.0ms (52.3% of total)
ival-mult: 149.0ms (28.7% of total)
ival-sub: 48.0ms (9.2% of total)
ival-add: 38.0ms (7.3% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess56.0ms (0.7%)

Memory
10.5MiB live, 132.0MiB allocated
Algorithm
1×egg-herbie
Rules
584×lower-fma.f64
584×lower-fma.f32
248×lower-*.f32
244×lower-*.f64
136×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
13618
211718
334918
461318
571318
673518
774318
089
0129
1289
2669
31319
42249
53449
64799
76309
86529
06527
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))

explain616.0ms (7.6%)

Memory
-1.4MiB live, 328.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
00-0-#s(literal 3/25 binary64)
00-0-(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x #s(literal 3/25 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
00-0-#s(literal 253/1000 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
552.0ms510×0valid
1.0ms2×2valid
Compiler

Compiled 80 to 36 computations (55% saved)

Precisions
Click to see histograms. Total time spent on operations: 538.0ms
const: 508.0ms (94.4% of total)
ival-sub: 20.0ms (3.7% of total)
ival-mult: 7.0ms (1.3% of total)
ival-add: 2.0ms (0.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify28.0ms (0.3%)

Memory
17.0MiB live, 56.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 3/25 binary64))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓cost-diff128
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Rules
584×lower-fma.f64
584×lower-fma.f32
248×lower-*.f32
244×lower-*.f64
136×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12828
26628
313128
422428
534428
647928
763028
865228
065224
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

localize72.0ms (0.9%)

Memory
-4.3MiB live, 71.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
✓accuracy99.6%
(*.f64 x #s(literal 3/25 binary64))
Samples
22.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
const: 6.0ms (43.6% of total)
ival-mult: 4.0ms (29.1% of total)
ival-sub: 2.0ms (14.5% of total)
ival-add: 1.0ms (7.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))>
#<alt (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))>
#<alt (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))>
#<alt (*.f64 x #s(literal 3/25 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms
x
@inf
(+ 253/1000 (* x 3/25))
0.0ms
x
@-inf
(- 1 (* x (+ 253/1000 (* x 3/25))))
0.0ms
x
@-inf
(* x 3/25)
0.0ms
x
@0
(- 1 (* x (+ 253/1000 (* x 3/25))))

simplify232.0ms (2.8%)

Memory
-34.8MiB live, 328.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 044×lower-fma.f64
5 044×lower-fma.f32
3 798×lower-*.f64
3 798×lower-*.f32
1 542×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035254
193254
2217248
3501248
41016248
52377248
64088248
75191248
86484248
97517248
08007215
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))

rewrite274.0ms (3.4%)

Memory
24.9MiB live, 451.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 504×lower-fma.f64
4 504×lower-fma.f32
4 210×lower-*.f32
4 206×lower-*.f64
2 686×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15524
242824
3432024
0827020
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 317
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(*.f64 x #s(literal 3/25 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(+.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (fma.f64 x #s(literal 253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 253/1000 binary64)) (fma.f64 x (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x x) x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (fma.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))))
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(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (*.f64 x x) (-.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 759/25000 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (neg.f64 x)) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) (neg.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)) (*.f64 x x)) (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) x) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) x) (neg.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x)))))) (exp.f64 (log.f64 (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))) (exp.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))))
(/.f64 (exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))))) (exp.f64 (log.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(/.f64 (exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))))) (exp.f64 (log.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 16194277/1000000000 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64009/1000000 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 3/25 binary64))) (*.f64 x #s(literal 253/1000 binary64)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 262254607552729/1000000000000000000 binary64))) (fma.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) #s(literal 64009/1000000 binary64)) #s(literal 4097152081/1000000000000 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9/625 binary64)) #s(literal 759/25000 binary64)))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))) (+.f64 #s(literal 16194277/1000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64)))) (fma.f64 x (fma.f64 x #s(literal 9/625 binary64) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (exp.f64 (log.f64 x)))
(exp.f64 (log.f64 (*.f64 x #s(literal 3/25 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3/25 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x)))

eval68.0ms (0.8%)

Memory
19.6MiB live, 60.3MiB allocated
Compiler

Compiled 8 955 to 928 computations (89.6% saved)

prune105.0ms (1.3%)

Memory
8.4MiB live, 83.1MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3569365
Fresh000
Picked011
Done000
Total35610366
Accuracy
100.0%
Counts
366 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶99.9%
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
99.8%
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
99.8%
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
▶99.8%
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
✓99.9%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
53.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
49.5%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
▶48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
▶51.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 180 to 128 computations (28.9% saved)

simplify204.0ms (2.5%)

Memory
-16.8MiB live, 183.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
✓cost-diff0
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
✓cost-diff0
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff320
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x #s(literal -3/25 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
✓cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
✓cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓cost-diff0
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Rules
2 552×lower-fma.f32
2 540×lower-fma.f64
1 240×lower-*.f32
1 230×lower-*.f64
406×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027130
044128
184128
2151124
3264124
4465124
5713124
61206124
72398124
83264124
93483124
103551124
113558124
123565124
133565124
143663124
153703124
163703124
173703124
03703123
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
x
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
#s(literal 1 binary64)
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)
Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
x
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(*.f64 #s(literal -3/25 binary64) (*.f64 x x))
x
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)

localize151.0ms (1.9%)

Memory
-10.9MiB live, 190.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
✓accuracy99.8%
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
✓accuracy99.7%
(*.f64 x #s(literal 9/625 binary64))
✓accuracy79.7%
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal -3/25 binary64))
✓accuracy48.5%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
✓accuracy51.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
✓accuracy99.9%
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
Samples
74.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 138 to 31 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
const: 17.0ms (36.7% of total)
ival-mult: 17.0ms (36.7% of total)
ival-add: 7.0ms (15.1% of total)
ival-div: 2.0ms (4.3% of total)
ival-sub: 2.0ms (4.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>
#<alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))>
#<alt #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal -3/25 binary64)))>
#<alt (*.f64 x #s(literal -3/25 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))>
#<alt (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>
#<alt (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<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 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* -253/1000 x))>
#<alt (* -253/1000 x)>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* x (- (/ 1 x) 253/1000))>
#<alt (* -253/1000 x)>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt (* -1 (* x (- 253/1000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))
1.0ms
x
@0
(* x (* x -3/25))
0.0ms
x
@inf
(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000))))
0.0ms
x
@-inf
(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000))))
0.0ms
x
@inf
(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))

simplify280.0ms (3.4%)

Memory
29.1MiB live, 294.3MiB allocated
Algorithm
1×egg-herbie
Rules
5 614×lower-fma.f64
5 614×lower-fma.f32
3 134×lower-*.f64
3 134×lower-*.f32
1 440×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055976
1146966
2372946
3792946
41456946
53177946
65022946
76274946
87596946
08021817
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(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)
1
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(* -253/1000 x)
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* -253/1000 x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 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)
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* x (- (/ 1 x) 253/1000))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 x #s(literal -253/1000 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(* -1 (* x (- 253/1000 (/ 1 x))))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9/625 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
(* 9/625 x)
(*.f64 x #s(literal 9/625 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))

rewrite381.0ms (4.7%)

Memory
-34.5MiB live, 742.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 662×lower-fma.f32
6 650×lower-fma.f64
4 422×lower-/.f32
4 420×lower-/.f64
3 476×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027113
044105
119793
2171493
0849788
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 677
Calls
Call 1
Inputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(*.f64 x #s(literal -3/25 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(+.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(+.f64 (*.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))))
(+.f64 (fma.f64 x (*.f64 x #s(literal -3/25 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal -253/1000 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (/.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))))
(fma.f64 x #s(literal -253/1000 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -3/25 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -3/25 binary64) (*.f64 x x) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -253/1000 binary64) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal -3/25 binary64)) x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal -253/1000 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -253/1000 binary64)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -253/1000 binary64))))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fma.f64 #s(literal -16194277/1000000000 binary64) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal -253/1000 binary64))))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal -1 binary64)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal -16194277/1000000000 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (*.f64 x #s(literal -253/1000 binary64)))))) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (*.f64 (*.f64 x x) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 x x)) (*.f64 x #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -253/1000 binary64)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (fma.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (*.f64 (*.f64 x #s(literal -3/25 binary64)) (*.f64 x (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))) (-.f64 (*.f64 (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
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(/.f64 (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (-.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (fma.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (*.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 9/625 binary64))) (*.f64 x #s(literal -759/25000 binary64))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal -3/25 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x (*.f64 x #s(literal 9/625 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))))) (-.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x (*.f64 x #s(literal 9/625 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/390625 binary64) #s(literal -4097152081/1000000000000 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27/15625 binary64) #s(literal -16194277/1000000000 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64))) (-.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))

eval194.0ms (2.4%)

Memory
3.5MiB live, 237.7MiB allocated
Compiler

Compiled 22 047 to 2 234 computations (89.9% saved)

prune181.0ms (2.2%)

Memory
-9.1MiB live, 191.8MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New8507857
Fresh314
Picked235
Done101
Total85611867
Accuracy
100.0%
Counts
867 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶99.8%
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
99.8%
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
▶99.9%
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
▶53.1%
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
99.8%
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
▶78.3%
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
▶49.5%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
✓48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
✓51.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 220 to 150 computations (31.8% saved)

simplify328.0ms (4%)

Memory
21.3MiB live, 509.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))
✓cost-diff0
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
✓cost-diff128
(neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
✓cost-diff0
(*.f64 x #s(literal 9/625 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓cost-diff0
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓cost-diff0
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓cost-diff0
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓cost-diff0
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
✓cost-diff0
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓cost-diff0
(*.f64 x #s(literal 3/25 binary64))
✓cost-diff0
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
✓cost-diff128
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
Rules
15 552×lower-fma.f32
15 536×lower-fma.f64
2 356×lower-*.f32
2 346×lower-*.f64
1 836×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041257
066255
1125252
2194248
3340248
4642248
51281248
63521248
75501248
86567248
97009248
107483248
117860248
08411247
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal -253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
#s(literal 1 binary64)
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal 253/1000 binary64)
(neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
#s(literal 64009/1000000 binary64)
Outputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
x
#s(literal 3/25 binary64)
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
x
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
(fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 x (/.f64 #s(literal 9/625 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x (*.f64 x (/.f64 #s(literal 9/625 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 x (/.f64 #s(literal 9/625 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 x (*.f64 x (/.f64 #s(literal 9/625 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal 253/1000 binary64)
(neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
#s(literal 64009/1000000 binary64)

localize154.0ms (1.9%)

Memory
-9.9MiB live, 310.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
✓accuracy99.5%
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
✓accuracy80.0%
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
✓accuracy79.7%
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))
✓accuracy99.9%
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
✓accuracy99.7%
(*.f64 x #s(literal 9/625 binary64))
✓accuracy79.7%
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
✓accuracy99.8%
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓accuracy99.8%
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓accuracy49.6%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓accuracy99.9%
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓accuracy52.3%
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
✓accuracy100.0%
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
✓accuracy99.9%
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
✓accuracy99.6%
(*.f64 x #s(literal 3/25 binary64))
Samples
97.0ms251×0valid
3.0ms3×1valid
2.0ms2×2valid
Compiler

Compiled 282 to 41 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
const: 22.0ms (26.9% of total)
ival-mult: 21.0ms (25.7% of total)
ival-div: 20.0ms (24.4% of total)
ival-add: 11.0ms (13.4% of total)
ival-sub: 6.0ms (7.3% of total)
adjust: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-15.1MiB live, 21.2MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))>
#<alt (fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))>
#<alt (*.f64 x #s(literal 3/25 binary64))>
#<alt (fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))>
#<alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))>
#<alt (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>
#<alt (fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt (*.f64 x #s(literal 9/625 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))>
#<alt (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))>
#<alt (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))>
#<alt (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))>
#<alt (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))>
#<alt (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))>
Outputs
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt (* 3/25 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt (* 9/625 x)>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* x (+ 3/25 (* -72/1265 x))) 253/1000)>
#<alt (- (* x (+ 3/25 (* x (- (* 1728/64009 x) 72/1265)))) 253/1000)>
#<alt (/ -64009/120000 x)>
#<alt (/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x)>
#<alt (/ (- (* 16194277/14400000 (/ 1 x)) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)>
#<alt (/ (- (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3)))) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)>
#<alt (/ -64009/120000 x)>
#<alt (* -1 (/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 64009/120000 (* -1 (/ (- 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 64009/120000 (* -1 (/ (+ 16194277/14400000 (* -1 (/ (- 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x))) x))) x))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (* -3/25 x)>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* x (- (* 253/1000 (/ 1 x)) 3/25))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* 1000/253 (pow x 2))>
#<alt (* (pow x 2) (+ 1000/253 (* -120000/64009 x)))>
#<alt (* (pow x 2) (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))))>
#<alt (* (pow x 2) (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))))>
#<alt (* 25/3 x)>
#<alt (* x (- 25/3 (* 1265/72 (/ 1 x))))>
#<alt (* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))))>
#<alt (* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))))>
#<alt (* 25/3 x)>
#<alt (* -1 (* x (- (* 1265/72 (/ 1 x)) 25/3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3)))>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt 253/1000>
#<alt (+ 253/1000 (* -3/25 x))>
#<alt (+ 253/1000 (* x (- (* 72/1265 x) 3/25)))>
#<alt (+ 253/1000 (* x (- (* x (+ 72/1265 (* -1728/64009 x))) 3/25)))>
#<alt (/ 64009/120000 x)>
#<alt (/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x)>
#<alt (/ (- (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2))) (* 16194277/14400000 (/ 1 x))) x)>
#<alt (/ (- (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2))) (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3))))) x)>
#<alt (/ 64009/120000 x)>
#<alt (* -1 (/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4097152081/1728000000 (/ 1 x)) 16194277/14400000) x)) 64009/120000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1036579476493/207360000000 (/ 1 x)) 4097152081/1728000000) x)) 16194277/14400000) x)) 64009/120000) x))>
Calls

60 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* 9/625 (/ (* x x) (+ (* x 3/25) 253/1000))) (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000)))))
2.0ms
x
@inf
(/ 64009/1000000 (+ (* x 3/25) 253/1000))
1.0ms
x
@-inf
(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* 9/625 (/ (* x x) (+ (* x 3/25) 253/1000))) (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))))))
1.0ms
x
@inf
(* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* 9/625 (/ (* x x) (+ (* x 3/25) 253/1000))) (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))))))
1.0ms
x
@-inf
(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* 9/625 (/ (* x x) (+ (* x 3/25) 253/1000))) (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000)))))))

simplify297.0ms (3.7%)

Memory
30.7MiB live, 422.7MiB allocated
Algorithm
1×egg-herbie
Rules
10 338×lower-fma.f64
10 338×lower-fma.f32
3 022×lower-+.f64
3 022×lower-+.f32
2 876×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951491
15661448
214001398
332601386
475721386
082391199
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
(* 9/625 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-253/1000
(- (* 3/25 x) 253/1000)
(- (* x (+ 3/25 (* -72/1265 x))) 253/1000)
(- (* x (+ 3/25 (* x (- (* 1728/64009 x) 72/1265)))) 253/1000)
(/ -64009/120000 x)
(/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x)
(/ (- (* 16194277/14400000 (/ 1 x)) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)
(/ (- (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3)))) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)
(/ -64009/120000 x)
(* -1 (/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x))
(* -1 (/ (+ 64009/120000 (* -1 (/ (- 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x))) x))
(* -1 (/ (+ 64009/120000 (* -1 (/ (+ 16194277/14400000 (* -1 (/ (- 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x))) x))) x))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* 1000/253 (pow x 2))
(* (pow x 2) (+ 1000/253 (* -120000/64009 x)))
(* (pow x 2) (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))))
(* (pow x 2) (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))))
(* 25/3 x)
(* x (- 25/3 (* 1265/72 (/ 1 x))))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))))
(* 25/3 x)
(* -1 (* x (- (* 1265/72 (/ 1 x)) 25/3)))
(* -1 (* x (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3)))
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* x (- (* 72/1265 x) 3/25)))
(+ 253/1000 (* x (- (* x (+ 72/1265 (* -1728/64009 x))) 3/25)))
(/ 64009/120000 x)
(/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x)
(/ (- (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2))) (* 16194277/14400000 (/ 1 x))) x)
(/ (- (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2))) (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3))))) x)
(/ 64009/120000 x)
(* -1 (/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x))
(* -1 (/ (- (* -1 (/ (- (* 4097152081/1728000000 (/ 1 x)) 16194277/14400000) x)) 64009/120000) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1036579476493/207360000000 (/ 1 x)) 4097152081/1728000000) x)) 16194277/14400000) x)) 64009/120000) x))
Outputs
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
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(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* 1000/253 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1000/253 binary64))
(* (pow x 2) (+ 1000/253 (* -120000/64009 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -120000/64009 binary64) #s(literal 1000/253 binary64))))
(* (pow x 2) (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal -120000/64009 binary64)) #s(literal 1000/253 binary64))))
(* (pow x 2) (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1728000000/4097152081 binary64) #s(literal 14400000/16194277 binary64)) #s(literal -120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* 25/3 x)
(*.f64 x #s(literal 25/3 binary64))
(* x (- 25/3 (* 1265/72 (/ 1 x))))
(fma.f64 x #s(literal 25/3 binary64) #s(literal -1265/72 binary64))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))))
(-.f64 (*.f64 x #s(literal 25/3 binary64)) (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))))
(fma.f64 x #s(literal 25/3 binary64) (+.f64 (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal -1265/72 binary64)))
(* 25/3 x)
(*.f64 x #s(literal 25/3 binary64))
(* -1 (* x (- (* 1265/72 (/ 1 x)) 25/3)))
(fma.f64 x #s(literal 25/3 binary64) #s(literal -1265/72 binary64))
(* -1 (* x (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3)))
(-.f64 (*.f64 x #s(literal 25/3 binary64)) (+.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal -64009/1728 binary64) x)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3)))
(fma.f64 x #s(literal 25/3 binary64) (+.f64 (/.f64 (-.f64 #s(literal 64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal -1265/72 binary64)))
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(+ 253/1000 (* x (- (* 72/1265 x) 3/25)))
(fma.f64 x (fma.f64 x #s(literal 72/1265 binary64) #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(+ 253/1000 (* x (- (* x (+ 72/1265 (* -1728/64009 x))) 3/25)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1728/64009 binary64) #s(literal 72/1265 binary64)) #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(/ 64009/120000 x)
(/.f64 #s(literal 64009/120000 binary64) x)
(/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 64009/120000 binary64) (/.f64 #s(literal -16194277/14400000 binary64) x)) x)
(/ (- (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2))) (* 16194277/14400000 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 64009/120000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4097152081/1728000000 binary64) x) #s(literal -16194277/14400000 binary64)) x)) x)
(/ (- (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2))) (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 64009/120000 binary64) (/.f64 (-.f64 #s(literal -16194277/14400000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1036579476493/207360000000 binary64) x) #s(literal -4097152081/1728000000 binary64)) x)) x)) x)
(/ 64009/120000 x)
(/.f64 #s(literal 64009/120000 binary64) x)
(* -1 (/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x))
(/.f64 (+.f64 #s(literal 64009/120000 binary64) (/.f64 #s(literal -16194277/14400000 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4097152081/1728000000 (/ 1 x)) 16194277/14400000) x)) 64009/120000) x))
(/.f64 (+.f64 #s(literal 64009/120000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4097152081/1728000000 binary64) x) #s(literal -16194277/14400000 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1036579476493/207360000000 (/ 1 x)) 4097152081/1728000000) x)) 16194277/14400000) x)) 64009/120000) x))
(/.f64 (+.f64 #s(literal 64009/120000 binary64) (/.f64 (-.f64 #s(literal -16194277/14400000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1036579476493/207360000000 binary64) x) #s(literal -4097152081/1728000000 binary64)) x)) x)) x)

rewrite440.0ms (5.4%)

Memory
-4.5MiB live, 394.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 630×lower-fma.f32
4 616×lower-fma.f64
4 266×lower-/.f32
4 258×lower-/.f64
3 508×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041218
066183
1283119
22527119
08904118
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 096
Calls
Call 1
Inputs
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(*.f64 x #s(literal 3/25 binary64))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
(neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
Outputs
(+.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))
(+.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(-.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal -3/25 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64)) (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64)))) (/.f64 #s(literal 16194277/1000000000 binary64) (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) (neg.f64 x) #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (neg.f64 x) #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal 3/25 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)) (neg.f64 (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (*.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)) (-.f64 (fma.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 4097152081/1000000000000 binary64)) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal -64009/1000000 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64)))) (neg.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (/.f64 #s(literal 262254607552729/1000000000000000000 binary64) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (+.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal -64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (+.f64 #s(literal -16194277/1000000000 binary64) (pow.f64 (neg.f64 (*.f64 x #s(literal -3/25 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 x #s(literal -3/25 binary64))) (neg.f64 (*.f64 x #s(literal -3/25 binary64)))) (*.f64 #s(literal -253/1000 binary64) (neg.f64 (*.f64 x #s(literal -3/25 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 x #s(literal -3/25 binary64))) #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (fma.f64 (neg.f64 (*.f64 x #s(literal -3/25 binary64))) (neg.f64 (*.f64 x #s(literal -3/25 binary64))) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (neg.f64 (*.f64 x #s(literal -3/25 binary64))) #s(literal -253/1000 binary64)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -576081/625000000 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal -16194277/1000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal -759/25000 binary64)))))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64)))))
(/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64)) #s(literal 1 binary64))))
(pow.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) #s(literal 1000000/64009 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 #s(literal -64009/1000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 #s(literal 64009/1000000 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))) #s(literal 64009/1000000 binary64))
(*.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27/15625 binary64) #s(literal 16194277/1000000000 binary64))) (-.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (*.f64 x #s(literal 759/25000 binary64))))
(*.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))

eval248.0ms (3.1%)

Memory
27.2MiB live, 292.2MiB allocated
Compiler

Compiled 37 925 to 3 546 computations (90.6% saved)

prune179.0ms (2.2%)

Memory
-22.5MiB live, 307.6MiB allocated
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New1 39971 406
Fresh303
Picked325
Done033
Total1 405121 417
Accuracy
100.0%
Counts
1 417 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
57.3%
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(approx (+ (* x -3/25) 253/1000) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
✓53.1%
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶76.6%
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
▶49.4%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
49.4%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
✓49.5%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
▶49.5%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
▶3.9%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
▶48.3%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
✓48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
✓51.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 204 to 133 computations (34.8% saved)

simplify589.0ms (7.3%)

Memory
23.7MiB live, 732.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓cost-diff0
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓cost-diff0
(*.f64 x #s(literal -3/25 binary64))
✓cost-diff0
(*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
✓cost-diff0
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
✓cost-diff128
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -3/25 binary64) (*.f64 x x))
✓cost-diff0
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
✓cost-diff0
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
✓cost-diff0
(*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)))
✓cost-diff0
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))
✓cost-diff0
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
Rules
22 536×lower-fma.f32
22 528×lower-fma.f64
3 224×lower-*.f32
3 210×lower-*.f64
1 300×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045305
064293
1112293
2174293
3307293
4608293
51107293
61953293
73097293
84074293
94931293
105572293
115741293
125758293
136312293
146537293
156561293
166567293
176570293
186570293
196570293
206573293
216573293
226783293
08021284
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
#s(literal 1 binary64)
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal 253/1000 binary64)
#s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
(*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)))
x
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/25 binary64) (*.f64 x x))
#s(literal -3/25 binary64)
(*.f64 x x)
x
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
(*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
x
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
(fma.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal -9/625 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 x (/.f64 (*.f64 x #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x (/.f64 (*.f64 x #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))
x
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (/.f64 (*.f64 x #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
#s(literal -64009/1000000 binary64)
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 9/625 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(*.f64 x x)
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal 253/1000 binary64)
#s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
(*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)))
x
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
(*.f64 #s(literal -3/25 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
#s(literal -3/25 binary64)
(*.f64 x x)
x
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(*.f64 x #s(literal -3/25 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal -253/1000 binary64)

localize152.0ms (1.9%)

Memory
-23.1MiB live, 339.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
✓accuracy99.8%
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
✓accuracy99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓accuracy49.6%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
✓accuracy100.0%
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
✓accuracy99.8%
(*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
✓accuracy99.6%
(*.f64 x #s(literal -3/25 binary64))
✓accuracy49.6%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 #s(literal -3/25 binary64) (*.f64 x x))
✓accuracy48.5%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
✓accuracy99.8%
(*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)))
✓accuracy52.3%
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
✓accuracy49.6%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
✓accuracy99.5%
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))
✓accuracy80.0%
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
✓accuracy79.7%
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))
✓accuracy52.5%
#s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))
Samples
81.0ms251×0valid
2.0ms3×1valid
2.0ms2×2valid
Compiler

Compiled 289 to 37 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
const: 25.0ms (37.9% of total)
ival-mult: 17.0ms (25.8% of total)
ival-div: 12.0ms (18.2% of total)
ival-add: 6.0ms (9.1% of total)
ival-sub: 3.0ms (4.5% of total)
ival-neg: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))>
#<alt (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))))>
#<alt (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))>
#<alt (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))>
#<alt (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)))>
#<alt #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))>
#<alt (*.f64 #s(literal -3/25 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))>
#<alt (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))>
#<alt (*.f64 x #s(literal -3/25 binary64))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))>
#<alt #s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))>
#<alt (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))>
#<alt #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))>
#<alt (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))>
#<alt (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* 253/1000 x)>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* x (+ 253/1000 (* 3/25 x)))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 (pow x 2))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt 253/1000>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (+ 253/1000 (* 3/25 x))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (+ 3/25 (* 253/1000 (/ 1 x))))>
#<alt -64009/1000000>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (- (* 9/625 (pow x 2)) 64009/1000000)>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* 9/625 (pow x 2))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -3/25 (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 -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -3/25 x)>
#<alt (* -253/1000 x)>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* x (- (* -3/25 x) 253/1000))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* -253/1000 x))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (+ 1 (* x (- (* -3/25 x) 253/1000)))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt (* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))>
#<alt -1000/253>
#<alt (- (* 120000/64009 x) 1000/253)>
#<alt (- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)>
#<alt (- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)>
#<alt (/ -25/3 x)>
#<alt (/ (- (* 1265/72 (/ 1 x)) 25/3) x)>
#<alt (/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)>
#<alt (/ -25/3 x)>
#<alt (* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))>
#<alt -253/1000>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (- (* -3/25 x) 253/1000)>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -3/25 x)>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt (* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* x (+ 3/25 (* -72/1265 x))) 253/1000)>
#<alt (- (* x (+ 3/25 (* x (- (* 1728/64009 x) 72/1265)))) 253/1000)>
#<alt (/ -64009/120000 x)>
#<alt (/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x)>
#<alt (/ (- (* 16194277/14400000 (/ 1 x)) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)>
#<alt (/ (- (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3)))) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)>
#<alt (/ -64009/120000 x)>
#<alt (* -1 (/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 64009/120000 (* -1 (/ (- 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 64009/120000 (* -1 (/ (+ 16194277/14400000 (* -1 (/ (- 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x))) x))) x))>
#<alt (* 1000/253 (pow x 2))>
#<alt (* (pow x 2) (+ 1000/253 (* -120000/64009 x)))>
#<alt (* (pow x 2) (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))))>
#<alt (* (pow x 2) (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))))>
#<alt (* 25/3 x)>
#<alt (* x (- 25/3 (* 1265/72 (/ 1 x))))>
#<alt (* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))))>
#<alt (* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))))>
#<alt (* 25/3 x)>
#<alt (* -1 (* x (- (* 1265/72 (/ 1 x)) 25/3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3)))>
#<alt -253/1000>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (- (* 3/25 x) 253/1000)>
#<alt (* 3/25 x)>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* x (- 3/25 (* 253/1000 (/ 1 x))))>
#<alt (* 3/25 x)>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
#<alt (* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))>
Calls

63 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ 1 (+ (* x -3/25) -253/1000))
0.0ms
x
@0
(/ 1 (+ (* x -3/25) -253/1000))
0.0ms
x
@-inf
(/ 1 (+ (* x -3/25) -253/1000))
0.0ms
x
@-inf
(* x (- (* x -3/25) 253/1000))
0.0ms
x
@0
(- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* 9/625 (/ (* x x) (+ (* x 3/25) 253/1000))) (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000)))))))

simplify309.0ms (3.8%)

Memory
5.3MiB live, 475.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 090×lower-fma.f64
9 090×lower-fma.f32
2 956×lower-+.f64
2 956×lower-+.f32
2 820×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01991653
15801592
214161506
331611494
472281494
080381305
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
-64009/1000000
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(- (* 9/625 (pow x 2)) 64009/1000000)
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (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)
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
-1000/253
(- (* 120000/64009 x) 1000/253)
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
(/ -25/3 x)
(/ (- (* 1265/72 (/ 1 x)) 25/3) x)
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/ -25/3 x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
-253/1000
(- (* 3/25 x) 253/1000)
(- (* x (+ 3/25 (* -72/1265 x))) 253/1000)
(- (* x (+ 3/25 (* x (- (* 1728/64009 x) 72/1265)))) 253/1000)
(/ -64009/120000 x)
(/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x)
(/ (- (* 16194277/14400000 (/ 1 x)) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)
(/ (- (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3)))) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)
(/ -64009/120000 x)
(* -1 (/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x))
(* -1 (/ (+ 64009/120000 (* -1 (/ (- 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x))) x))
(* -1 (/ (+ 64009/120000 (* -1 (/ (+ 16194277/14400000 (* -1 (/ (- 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x))) x))) x))
(* 1000/253 (pow x 2))
(* (pow x 2) (+ 1000/253 (* -120000/64009 x)))
(* (pow x 2) (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))))
(* (pow x 2) (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))))
(* 25/3 x)
(* x (- 25/3 (* 1265/72 (/ 1 x))))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))))
(* 25/3 x)
(* -1 (* x (- (* 1265/72 (/ 1 x)) 25/3)))
(* -1 (* x (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3)))
-253/1000
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(- (* 3/25 x) 253/1000)
(* 3/25 x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* 253/1000 x)
(*.f64 x #s(literal 253/1000 binary64))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* 3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3/25 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
253/1000
#s(literal 253/1000 binary64)
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(+ 253/1000 (* 3/25 x))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))
-64009/1000000
#s(literal -64009/1000000 binary64)
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(- (* 9/625 (pow x 2)) 64009/1000000)
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* 9/625 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9/625 binary64)))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
(* (pow x 2) (- 9/625 (* 64009/1000000 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 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)
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* x (- (* -3/25 x) 253/1000))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* -3/25 (pow x 2))
(*.f64 x (*.f64 x #s(literal -3/25 binary64)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
-1000/253
#s(literal -1000/253 binary64)
(- (* 120000/64009 x) 1000/253)
(fma.f64 x #s(literal 120000/64009 binary64) #s(literal -1000/253 binary64))
(- (* x (+ 120000/64009 (* -14400000/16194277 x))) 1000/253)
(fma.f64 x (fma.f64 x #s(literal -14400000/16194277 binary64) #s(literal 120000/64009 binary64)) #s(literal -1000/253 binary64))
(- (* x (+ 120000/64009 (* x (- (* 1728000000/4097152081 x) 14400000/16194277)))) 1000/253)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728000000/4097152081 binary64) #s(literal -14400000/16194277 binary64)) #s(literal 120000/64009 binary64)) #s(literal -1000/253 binary64))
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(/ (- (* 1265/72 (/ 1 x)) 25/3) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) x)
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x)) x)
(/ (- (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 64009/1728 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) x)
(/ -25/3 x)
(/.f64 #s(literal -25/3 binary64) x)
(* -1 (/ (- 25/3 (* 1265/72 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (- 1265/72 (* 64009/1728 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal 1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x)) x)
(* -1 (/ (+ 25/3 (* -1 (/ (+ 1265/72 (* -1 (/ (- 64009/1728 (* 16194277/207360 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -25/3 binary64) (/.f64 (+.f64 #s(literal 1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x)) x)
-253/1000
#s(literal -253/1000 binary64)
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(- (* -3/25 x) 253/1000)
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 x #s(literal -3/25 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* x (+ 3/25 (* -72/1265 x))) 253/1000)
(fma.f64 x (fma.f64 x #s(literal -72/1265 binary64) #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(- (* x (+ 3/25 (* x (- (* 1728/64009 x) 72/1265)))) 253/1000)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1728/64009 binary64) #s(literal -72/1265 binary64)) #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(/ -64009/120000 x)
(/.f64 #s(literal -64009/120000 binary64) x)
(/ (- (* 16194277/14400000 (/ 1 x)) 64009/120000) x)
(/.f64 (+.f64 #s(literal -64009/120000 binary64) (/.f64 #s(literal 16194277/14400000 binary64) x)) x)
(/ (- (* 16194277/14400000 (/ 1 x)) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -64009/120000 binary64) (/.f64 (+.f64 #s(literal 16194277/14400000 binary64) (/.f64 #s(literal -4097152081/1728000000 binary64) x)) x)) x)
(/ (- (+ (* 16194277/14400000 (/ 1 x)) (* 1036579476493/207360000000 (/ 1 (pow x 3)))) (+ 64009/120000 (/ 4097152081/1728000000 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -64009/120000 binary64) (/.f64 (+.f64 #s(literal 16194277/14400000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1036579476493/207360000000 binary64) x) #s(literal -4097152081/1728000000 binary64)) x)) x)) x)
(/ -64009/120000 x)
(/.f64 #s(literal -64009/120000 binary64) x)
(* -1 (/ (- 64009/120000 (* 16194277/14400000 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -64009/120000 binary64) (/.f64 #s(literal 16194277/14400000 binary64) x)) x)
(* -1 (/ (+ 64009/120000 (* -1 (/ (- 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x))) x))
(/.f64 (+.f64 #s(literal -64009/120000 binary64) (/.f64 (+.f64 #s(literal 16194277/14400000 binary64) (/.f64 #s(literal -4097152081/1728000000 binary64) x)) x)) x)
(* -1 (/ (+ 64009/120000 (* -1 (/ (+ 16194277/14400000 (* -1 (/ (- 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x))) x))) x))
(/.f64 (+.f64 #s(literal -64009/120000 binary64) (/.f64 (+.f64 #s(literal 16194277/14400000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1036579476493/207360000000 binary64) x) #s(literal -4097152081/1728000000 binary64)) x)) x)) x)
(* 1000/253 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1000/253 binary64)))
(* (pow x 2) (+ 1000/253 (* -120000/64009 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -120000/64009 binary64) #s(literal 1000/253 binary64))))
(* (pow x 2) (+ 1000/253 (* x (- (* 14400000/16194277 x) 120000/64009))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 14400000/16194277 binary64) #s(literal -120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* (pow x 2) (+ 1000/253 (* x (- (* x (+ 14400000/16194277 (* -1728000000/4097152081 x))) 120000/64009))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1728000000/4097152081 binary64) #s(literal 14400000/16194277 binary64)) #s(literal -120000/64009 binary64)) #s(literal 1000/253 binary64)))
(* 25/3 x)
(*.f64 x #s(literal 25/3 binary64))
(* x (- 25/3 (* 1265/72 (/ 1 x))))
(fma.f64 x #s(literal 25/3 binary64) #s(literal -1265/72 binary64))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (* 1265/72 (/ 1 x))))
(fma.f64 x #s(literal 25/3 binary64) (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)))
(* x (- (+ 25/3 (/ 64009/1728 (pow x 2))) (+ (* 1265/72 (/ 1 x)) (* 16194277/207360 (/ 1 (pow x 3))))))
(fma.f64 x #s(literal 25/3 binary64) (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)))
(* 25/3 x)
(*.f64 x #s(literal 25/3 binary64))
(* -1 (* x (- (* 1265/72 (/ 1 x)) 25/3)))
(fma.f64 x #s(literal 25/3 binary64) #s(literal -1265/72 binary64))
(* -1 (* x (- (* -1 (/ (- (* 64009/1728 (/ 1 x)) 1265/72) x)) 25/3)))
(fma.f64 x #s(literal 25/3 binary64) (+.f64 (/.f64 #s(literal 64009/1728 binary64) x) #s(literal -1265/72 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 16194277/207360 (/ 1 x)) 64009/1728) x)) 1265/72) x)) 25/3)))
(fma.f64 x #s(literal 25/3 binary64) (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)))
-253/1000
#s(literal -253/1000 binary64)
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(- (* 3/25 x) 253/1000)
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* 3/25 x)
(*.f64 x #s(literal 3/25 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))

rewrite370.0ms (4.6%)

Memory
16.7MiB live, 534.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 320×lower-/.f32
5 312×lower-/.f64
4 734×lower-fma.f32
4 726×lower-fma.f64
3 888×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045277
064265
1239233
21762233
08240233
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 694
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
(*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))
(fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
(*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)))
#s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(*.f64 #s(literal -3/25 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
(*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64)))
(*.f64 x #s(literal -3/25 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))
(fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
#s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))
(/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 9/625 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 9/625 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64))) (fma.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 9/625 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (fma.f64 (/.f64 (*.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (/.f64 (*.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (/.f64 (*.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (/.f64 x (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(literal 9/625 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) (*.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/244140625 binary64))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) (-.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))))
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 81/390625 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))) (*.f64 #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64)))))

eval138.0ms (1.7%)

Memory
-11.0MiB live, 265.3MiB allocated
Compiler

Compiled 25 049 to 2 472 computations (90.1% saved)

prune94.0ms (1.2%)

Memory
-9.5MiB live, 222.2MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New9632965
Fresh022
Picked235
Done055
Total96512977
Accuracy
100.0%
Counts
977 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
57.3%
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(approx (+ (* x -3/25) 253/1000) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
✓53.1%
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
76.0%
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
48.3%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))))
49.4%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
✓49.5%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
✓49.5%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
✓3.9%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
✓48.3%
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
✓48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
✓51.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 394 to 148 computations (62.4% saved)

regimes25.0ms (0.3%)

Memory
7.7MiB live, 44.4MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 x #s(literal -253/1000 binary64) #s(literal 1 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x #s(approx (/ 1 (+ (* x -3/25) -253/1000)) (/.f64 #s(literal -25/3 binary64) x))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(approx (+ (* x -3/25) 253/1000) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(approx (+ (* x (* x 9/625)) -64009/1000000) (*.f64 x (*.f64 x #s(literal 9/625 binary64)))) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) #s(approx (neg (/ 64009/1000000 (+ (* x 3/25) 253/1000))) #s(literal -253/1000 binary64))))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 9/625 binary64)) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))) (neg.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64))))))))
Outputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
Calls

3 calls:

9.0ms
x
8.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
99.9%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes12.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (-.f64 (*.f64 x #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))))
Outputs
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Calls

3 calls:

4.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
4.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
99.9%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes16.0ms (0.2%)

Memory
-17.7MiB live, 21.6MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64))))
Calls

3 calls:

3.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
3.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
98.7%3x
98.7%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
98.7%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes6.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
Calls

2 calls:

3.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
3.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
98.2%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
98.2%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes5.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64))))
Calls

2 calls:

2.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
98.2%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
98.2%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
-25.7MiB live, 11.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
2.0ms
x
2.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
53.1%1x
53.1%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
53.1%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes5.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Accuracy

Total -31.2b remaining (-99.6%)

Threshold costs -31.2b (-99.6%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* x (* x 9/625)) -64009/1000000) (+ (* x 3/25) -253/1000)))) (*.f64 x #s(approx (+ (* x -3/25) -253/1000) #s(literal -253/1000 binary64))))
Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Calls

3 calls:

2.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
51.1%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
51.1%1x
51.1%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.096021713851559e-9
82.40567476708608
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.096021713851559e-9
82.40567476708608
Compiler

Compiled 13 to 12 computations (7.7% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4.096021713851559e-9
82.40567476708608
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify12.0ms (0.2%)

Memory
-9.0MiB live, 24.6MiB allocated
Algorithm
1×egg-herbie
Rules
18×*-commutative_binary64
10×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033158
148158
259158
365158
469158
570158
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64)))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Outputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(if (<=.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (fma.f64 x #s(literal -3/25 binary64) #s(literal -253/1000 binary64)))))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64))))
(if (<=.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 #s(literal -3/25 binary64) (*.f64 x x))))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64)))))
(if (<=.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 3/25 binary64)) #s(literal 253/1000 binary64))) #s(literal 3022314549036573/604462909807314587353088 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 x (*.f64 x #s(literal -3/25 binary64)))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

soundness851.0ms (10.5%)

Memory
-2.0MiB live, 409.0MiB allocated
Rules
6 662×lower-fma.f32
6 650×lower-fma.f64
5 044×lower-fma.f64
5 044×lower-fma.f32
4 504×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035254
193254
2217248
3501248
41016248
52377248
64088248
75191248
86484248
97517248
08007215
0824
01224
15524
242824
3432024
0827020
027113
044105
119793
2171493
0849788
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 177 to 88 computations (50.3% saved)

preprocess47.0ms (0.6%)

Memory
-11.9MiB live, 104.3MiB allocated
Compiler

Compiled 194 to 64 computations (67% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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