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

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (19.9%)

Memory
12.6MiB live, 1 330.2MiB allocated
Samples
805.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 538.0ms
const: 328.0ms (60.9% of total)
ival-mult: 120.0ms (22.3% of total)
ival-sub: 39.0ms (7.2% of total)
ival-add: 38.0ms (7.1% of total)
ival-true: 6.0ms (1.1% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain137.0ms (2.5%)

Memory
2.5MiB live, 119.5MiB 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
44.0ms506×0valid
1.0ms1valid
Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
const: 13.0ms (40.9% of total)
ival-add: 8.0ms (25.1% of total)
ival-mult: 7.0ms (22% of total)
ival-sub: 3.0ms (9.4% 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)

preprocess47.0ms (0.9%)

Memory
-20.7MiB live, 21.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
13219
210618
317718
428918
536518
649818
751618
089
0129
1289
2709
31669
42539
53159
64219
74369
04367
Stop Event
iter limit
saturated
iter limit
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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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 9 to 8 computations (11.1% saved)

simplify9.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
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-diff1
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12828
27028
316628
425328
531528
642128
743628
043624
Stop Event
iter limit
saturated
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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)

localize47.0ms (0.8%)

Memory
5.4MiB live, 41.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
accuracy0.0078125
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy0.109375
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
accuracy0.25
(*.f64 x #s(literal 3/25 binary64))
Samples
40.0ms253×0valid
0.0ms1valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 26.0ms (75.2% of total)
const: 6.0ms (17.4% of total)
ival-add: 1.0ms (2.9% of total)
ival-sub: 1.0ms (2.9% 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 (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
4 → 15
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
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
253/1000
(+ 253/1000 (* 3/25 x))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 x)
(* -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)))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))
1.0ms
x
@-inf
((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))
1.0ms
x
@0
((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))

simplify153.0ms (2.8%)

Memory
-0.3MiB live, 119.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03584
19684
222682
359681
4163781
5388081
6687281
0823269
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
253/1000
(+ 253/1000 (* 3/25 x))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 x)
(* -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)))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) 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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 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)
(*.f64 #s(literal 253/1000 binary64) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* 3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

rewrite193.0ms (3.5%)

Memory
11.1MiB live, 124.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15624
242224
3461224
0843420
Stop Event
iter limit
node limit
iter limit
Counts
4 → 262
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 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x)) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64))) (-.f64 (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x))))))
(/.f64 (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) x) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)))) (+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64))) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x)))))
(neg.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/25 binary64) x)) x (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x))
(fma.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 (*.f64 #s(literal 3/25 binary64) x) x (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 3/25 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 3/25 binary64) (*.f64 x x) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 #s(literal 253/1000 binary64) x (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 x (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 x (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) (*.f64 x (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(fma.f64 x (*.f64 #s(literal 3/25 binary64) x) (*.f64 #s(literal 253/1000 binary64) x))
(fma.f64 x #s(literal 253/1000 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)))
(-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 3/25 binary64)))
(-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 #s(literal -3/25 binary64) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
(-.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal -253/1000 binary64) x))
(-.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 (neg.f64 x) #s(literal 253/1000 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))) (sinh.f64 (log.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))))
(+.f64 (*.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) x))
(+.f64 (*.f64 x (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))) (*.f64 x (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27/15625 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 (*.f64 #s(literal 759/25000 binary64) x) (*.f64 x x))))))
(+.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 3/25 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3/25 binary64))))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 x #s(literal 3/25 binary64))
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -3/25 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal 3/25 binary64) x))))

eval62.0ms (1.1%)

Memory
-8.9MiB live, 75.2MiB allocated
Compiler

Compiled 5 693 to 883 computations (84.5% saved)

prune11.0ms (0.2%)

Memory
-10.2MiB live, 28.6MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New26310273
Fresh000
Picked011
Done000
Total26311274
Accuracy
100.0%
Counts
274 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(fma.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
99.9%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
99.9%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
92.7%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
99.9%
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))
99.8%
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #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)))))
50.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
52.7%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
51.9%
#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)))) #s(literal 1 binary64))
Compiler

Compiled 309 to 246 computations (20.4% saved)

simplify57.0ms (1%)

Memory
6.7MiB live, 45.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
cost-diff1
(*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
cost-diff6
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff0
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal 253/1000 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff1
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
cost-diff2
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030178
049163
1101160
2271150
3756150
41387150
52273150
62611150
72662150
82686150
92686150
02686145
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 x x)
x
#s(literal 3/25 binary64)
(*.f64 #s(literal 253/1000 binary64) x)
#s(literal 253/1000 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 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
#s(literal 1 binary64)
(*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
x
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
#s(literal 64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x))
(neg.f64 x)
(*.f64 #s(literal 9/625 binary64) x)
#s(literal 9/625 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 x x)
x
#s(literal 3/25 binary64)
(*.f64 #s(literal 253/1000 binary64) x)
#s(literal 253/1000 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 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))
x
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
#s(literal 64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (/.f64 #s(literal -9/625 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 x x))
(*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(neg.f64 x)
(*.f64 #s(literal 9/625 binary64) x)
#s(literal 9/625 binary64)

localize111.0ms (2%)

Memory
-27.0MiB live, 156.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy0.1640625
(*.f64 #s(literal 9/625 binary64) x)
accuracy0.1953125
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy18.39079593214249
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy0.0546875
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy0.140625
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.10546875
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
accuracy30.01489426501161
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
accuracy33.08807925597041
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
accuracy0.0
(*.f64 x x)
accuracy0.0625
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
accuracy0.0703125
(*.f64 #s(literal 253/1000 binary64) x)
Samples
75.0ms253×0valid
4.0ms5exit
Compiler

Compiled 364 to 66 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
const: 25.0ms (39.1% of total)
ival-mult: 21.0ms (32.8% of total)
ival-add: 9.0ms (14.1% of total)
ival-div: 3.0ms (4.7% of total)
ival-sub: 3.0ms (4.7% of total)
adjust: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
17 → 41
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal 253/1000 binary64) x)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x))
(*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 #s(literal 9/625 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
Outputs
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(pow x 2)
(* -3/25 (pow x 2))
-253/1000
(- (* -3/25 x) 253/1000)
253/1000
(+ 253/1000 (* 3/25 x))
(* -9/625 (pow x 2))
(* -72/1265 (pow x 2))
(* (pow x 2) (- (* -1728/64009 x) 72/1265))
(* (pow x 2) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(* (pow x 2) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(+ 253/1000 (* x (+ 3/25 (* 72/1265 x))))
(+ 253/1000 (* x (+ 3/25 (* x (+ 72/1265 (* 1728/64009 x))))))
(* 9/625 x)
(+ 253/1000 (* -3/25 x))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* -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 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(/ -64009/120000 x)
(* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x)) 64009/120000) x)
(/ (- (* -1 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) (pow x 2))) (+ 64009/120000 (* 16194277/14400000 (/ 1 x)))) x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (* 64009/120000 (/ 1 x))) x)) 3/25)))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (+ (* 64009/120000 (/ 1 x)) (/ 16194277/14400000 (pow x 2)))) x)) 3/25)))
(* -1 (/ (+ 64009/120000 (+ (* 16194277/14400000 (/ 1 x)) (/ 4097152081/1728000000 (pow x 2)))) x))
(* -1 (/ (+ 64009/120000 (* -1 (/ (- (* -1 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x)) 16194277/14400000) x))) x))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((+ (* (* x x) 3/25) (* 253/1000 x)) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* x x) (* 253/1000 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000))) (- 1 (* x (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000))))) (* (neg x) (* 9/625 x)) (* x (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000)))) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000)) (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* 9/625 x) (+ (* -3/25 x) 253/1000))
3.0ms
x
@-inf
((+ (* (* x x) 3/25) (* 253/1000 x)) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* x x) (* 253/1000 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000))) (- 1 (* x (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000))))) (* (neg x) (* 9/625 x)) (* x (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000)))) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000)) (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* 9/625 x) (+ (* -3/25 x) 253/1000))
3.0ms
x
@0
((+ (* (* x x) 3/25) (* 253/1000 x)) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* x x) (* 253/1000 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000))) (- 1 (* x (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000))))) (* (neg x) (* 9/625 x)) (* x (+ (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000)))) (/ (* (neg x) (* 9/625 x)) (+ (* -3/25 x) 253/1000)) (/ 64009/1000000 (+ (* -3/25 x) 253/1000)) (* 9/625 x) (+ (* -3/25 x) 253/1000))

simplify135.0ms (2.4%)

Memory
-8.6MiB live, 147.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141338
1407326
21142314
33290310
08271289
Stop Event
iter limit
node limit
Counts
41 → 41
Calls
Call 1
Inputs
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(pow x 2)
(* -3/25 (pow x 2))
-253/1000
(- (* -3/25 x) 253/1000)
253/1000
(+ 253/1000 (* 3/25 x))
(* -9/625 (pow x 2))
(* -72/1265 (pow x 2))
(* (pow x 2) (- (* -1728/64009 x) 72/1265))
(* (pow x 2) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(* (pow x 2) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(+ 253/1000 (* x (+ 3/25 (* 72/1265 x))))
(+ 253/1000 (* x (+ 3/25 (* x (+ 72/1265 (* 1728/64009 x))))))
(* 9/625 x)
(+ 253/1000 (* -3/25 x))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* -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 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(/ -64009/120000 x)
(* -1 (/ (+ 64009/120000 (* 16194277/14400000 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) x)) 64009/120000) x)
(/ (- (* -1 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) (pow x 2))) (+ 64009/120000 (* 16194277/14400000 (/ 1 x)))) x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (* 64009/120000 (/ 1 x))) x)) 3/25)))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (+ (* 64009/120000 (/ 1 x)) (/ 16194277/14400000 (pow x 2)))) x)) 3/25)))
(* -1 (/ (+ 64009/120000 (+ (* 16194277/14400000 (/ 1 x)) (/ 4097152081/1728000000 (pow x 2)))) x))
(* -1 (/ (+ 64009/120000 (* -1 (/ (- (* -1 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x)) 16194277/14400000) x))) x))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
Outputs
(* 253/1000 x)
(*.f64 #s(literal 253/1000 binary64) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
-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))
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))
(* -9/625 (pow x 2))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(* -72/1265 (pow x 2))
(*.f64 #s(literal -72/1265 binary64) (*.f64 x x))
(* (pow x 2) (- (* -1728/64009 x) 72/1265))
(*.f64 (fma.f64 #s(literal -1728/64009 binary64) x #s(literal -72/1265 binary64)) (*.f64 x x))
(* (pow x 2) (- (* x (- (* -207360/16194277 x) 1728/64009)) 72/1265))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -207360/16194277 binary64) x) #s(literal 1728/64009 binary64)) x) #s(literal 72/1265 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -24883200/4097152081 x) 207360/16194277)) 1728/64009)) 72/1265))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -24883200/4097152081 binary64) x) #s(literal 207360/16194277 binary64)) x) #s(literal 1728/64009 binary64)) x) #s(literal 72/1265 binary64)) x) x)
(+ 253/1000 (* x (+ 3/25 (* 72/1265 x))))
(fma.f64 (fma.f64 #s(literal 72/1265 binary64) x #s(literal 3/25 binary64)) x #s(literal 253/1000 binary64))
(+ 253/1000 (* x (+ 3/25 (* x (+ 72/1265 (* 1728/64009 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1728/64009 binary64) x #s(literal 72/1265 binary64)) x #s(literal 3/25 binary64)) x #s(literal 253/1000 binary64))
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(+ 253/1000 (* -3/25 x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(* 3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3/25 binary64)) x #s(literal -253/1000 binary64)) x)
(* -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))
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal 3/25 binary64) x (-.f64 (/.f64 #s(literal 64009/120000 binary64) x) #s(literal -253/1000 binary64)))
(* x (+ 3/25 (+ (/ 64009/120000 (pow x 2)) (+ (* 253/1000 (/ 1 x)) (* 16194277/14400000 (/ 1 (pow x 3)))))))
(fma.f64 #s(literal 3/25 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 16194277/14400000 binary64) x) #s(literal 64009/120000 binary64)) x) #s(literal -253/1000 binary64)))
(/ -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 (/ (+ 16194277/14400000 (* 4097152081/1728000000 (/ 1 x))) 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 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) (pow x 2))) (+ 64009/120000 (* 16194277/14400000 (/ 1 x)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4097152081/1728000000 binary64) (/.f64 #s(literal 1036579476493/207360000000 binary64) x)) x) #s(literal 16194277/14400000 binary64)) x) #s(literal -64009/120000 binary64)) x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(*.f64 (-.f64 (/.f64 #s(literal 253/1000 binary64) x) #s(literal 3/25 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 253/1000 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 3/25 binary64)) (*.f64 x x))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (* 64009/120000 (/ 1 x))) x)) 3/25)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -253/1000 binary64) (/.f64 #s(literal 64009/120000 binary64) x)) x) #s(literal 3/25 binary64)))
(* -1 (* x (- (* -1 (/ (+ 253/1000 (+ (* 64009/120000 (/ 1 x)) (/ 16194277/14400000 (pow x 2)))) x)) 3/25)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal -253/1000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/14400000 binary64) x) #s(literal 64009/120000 binary64)) x)) x) #s(literal 3/25 binary64)))
(* -1 (/ (+ 64009/120000 (+ (* 16194277/14400000 (/ 1 x)) (/ 4097152081/1728000000 (pow x 2)))) 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 (/ (+ 64009/120000 (* -1 (/ (- (* -1 (/ (+ 4097152081/1728000000 (* 1036579476493/207360000000 (/ 1 x))) x)) 16194277/14400000) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4097152081/1728000000 binary64) (/.f64 #s(literal 1036579476493/207360000000 binary64) x)) x) #s(literal 16194277/14400000 binary64)) x) #s(literal -64009/120000 binary64)) x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))

rewrite218.0ms (3.9%)

Memory
-13.9MiB live, 303.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030156
049123
1218115
21799115
08079108
Stop Event
iter limit
node limit
iter limit
Counts
17 → 676
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal 253/1000 binary64) x)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x))
(*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 #s(literal 9/625 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x))) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) x) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64))) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64))))
(*.f64 (/.f64 x (fabs.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (fabs.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 (/.f64 x (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (fabs.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 x (fabs.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) (/.f64 x (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x (*.f64 #s(literal -64009/1000000 binary64) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 #s(literal -64009/1000000 binary64) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) x (*.f64 #s(literal 64009/1000000 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (*.f64 #s(literal 64009/1000000 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x (*.f64 x #s(literal -64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 x (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) x (*.f64 x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (*.f64 x #s(literal 64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 #s(literal -64009/1000000 binary64) x (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 x #s(literal -64009/1000000 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 x #s(literal 64009/1000000 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 #s(literal -64009/1000000 binary64) x (*.f64 x (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 x #s(literal -64009/1000000 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 9/625 binary64) x) x))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 #s(literal 64009/1000000 binary64) x (*.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 x #s(literal 64009/1000000 binary64) (*.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)))) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal 3/25 binary64) x) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))) x)) (neg.f64 (/.f64 (-.f64 #s(literal -64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal 729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 3 binary64)))) x)) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) x)) (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 3/25 binary64) x) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x))))) (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (*.f64 #s(literal 253/1000 binary64) x) (-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))))))
(/.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal -64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (*.f64 x (/.f64 (fma.f64 #s(literal 729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -262254607552729/1000000000000000000 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 3 binary64)))))) (neg.f64 (-.f64 (/.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)))) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))))) (neg.f64 (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -64009/1000000 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x)) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) x) (*.f64 #s(literal -253/1000 binary64) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (*.f64 #s(literal 253/1000 binary64) x) (-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)))) (*.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64))) (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)))) (pow.f64 (*.f64 x (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (*.f64 #s(literal 253/1000 binary64) x) (-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (*.f64 #s(literal 253/1000 binary64) x) (-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)))) (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (*.f64 (*.f64 #s(literal 253/1000 binary64) x) (-.f64 (*.f64 #s(literal 253/1000 binary64) x) (*.f64 (*.f64 #s(literal 3/25 binary64) x) x)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) x) (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 #s(literal -64009/1000000 binary64) x))) (pow.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #s(literal 64009/1000000 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal 16194277/1000000000 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64))) (neg.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal 64009/1000000 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) #s(literal 64009/1000000 binary64)) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)))
(/.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 x #s(literal -3/25 binary64) #s(literal 253/1000 binary64))
(-.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (*.f64 #s(literal 759/25000 binary64) x)))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))))
(-.f64 #s(literal 253/1000 binary64) (*.f64 (neg.f64 x) #s(literal -3/25 binary64)))
(-.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(+.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64))))) (/.f64 #s(literal 16194277/1000000000 binary64) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9/625 binary64) x) x) (*.f64 x #s(literal -759/25000 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3/25 binary64)) (*.f64 #s(literal 3/25 binary64) x)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 9/625 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))))
(+.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))) (/.f64 #s(literal 16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal 9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
(+.f64 #s(literal 253/1000 binary64) (*.f64 (neg.f64 x) #s(literal 3/25 binary64)))
(+.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))

eval82.0ms (1.5%)

Memory
29.5MiB live, 151.7MiB allocated
Compiler

Compiled 16 055 to 2 211 computations (86.2% saved)

prune15.0ms (0.3%)

Memory
4.7MiB live, 42.3MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New5587565
Fresh505
Picked145
Done101
Total56511576
Accuracy
100.0%
Counts
576 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
99.8%
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
99.9%
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
50.3%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
99.9%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
99.3%
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))))
92.7%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
52.7%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
51.9%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 231 to 190 computations (17.7% saved)

simplify22.0ms (0.4%)

Memory
-31.0MiB live, 13.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff1
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x)))
cost-diff1
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))))
cost-diff0
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
cost-diff0
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
cost-diff0
(*.f64 #s(literal -3/25 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
cost-diff0
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
cost-diff0
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal 3/25 binary64) x)
cost-diff0
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
cost-diff1
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033128
048124
192124
2200120
3542120
4811120
5949120
6996120
71017120
81024120
01024117
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
#s(literal -253/1000 binary64)
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)
x
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
x
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x)))
(*.f64 x x)
x
#s(literal 3/25 binary64)
(fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 #s(literal 253/1000 binary64) x)
#s(literal 253/1000 binary64)
Outputs
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)
x
#s(literal 1 binary64)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
x
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))))
(fma.f64 (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fabs.f64 x) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x)))
(*.f64 (fma.f64 (fabs.f64 x) #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fabs.f64 x))
(*.f64 x x)
x
#s(literal 3/25 binary64)
(fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 (fabs.f64 x) #s(literal 253/1000 binary64))
(*.f64 #s(literal 253/1000 binary64) x)
#s(literal 253/1000 binary64)

localize86.0ms (1.6%)

Memory
3.0MiB live, 111.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
(fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))
accuracy0.0703125
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x)))
accuracy0.0703125
(*.f64 #s(literal 253/1000 binary64) x)
accuracy0.10546875
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy0.140625
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy29.460727665709758
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
accuracy0.09375
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
accuracy0.25
(*.f64 #s(literal -3/25 binary64) x)
accuracy30.01489426501161
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
accuracy0.0546875
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy32.35294548946245
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy0.0078125
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
accuracy0.0546875
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
accuracy0.25
(*.f64 #s(literal 3/25 binary64) x)
Samples
63.0ms253×0valid
3.0ms5exit
Compiler

Compiled 251 to 67 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 15.0ms (32.7% of total)
const: 13.0ms (28.3% of total)
ival-add: 11.0ms (24% of total)
ival-sub: 4.0ms (8.7% of total)
ival-fabs: 1.0ms (2.2% of total)
adjust: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
16 → 23
Calls
Call 1
Inputs
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))))
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x)))
(*.f64 x x)
(fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 #s(literal 253/1000 binary64) x)
Outputs
-253/1000
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 3/25 x)
(* -3/25 (pow x 2))
(* -3/25 x)
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(- 1 (fabs (* 253/1000 x)))
(- (+ 1 (* -3/25 (pow x 2))) (fabs (* 253/1000 x)))
(fabs (* 253/1000 x))
(+ (fabs (* 253/1000 x)) (* 3/25 (pow x 2)))
(pow x 2)
(* 253/1000 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -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 (/ (fabs (* 253/1000 x)) (pow x 2)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (/ (fabs (* 253/1000 x)) (pow x 2))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- -253/1000 (* 3/25 x)) (+ (* (- -253/1000 (* 3/25 x)) x) 1) (* 3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (+ (* (* x x) 3/25) (fabs (* 253/1000 x))) (* x x) (fabs (* 253/1000 x)) (* 253/1000 x))
2.0ms
x
@inf
((- -253/1000 (* 3/25 x)) (+ (* (- -253/1000 (* 3/25 x)) x) 1) (* 3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (+ (* (* x x) 3/25) (fabs (* 253/1000 x))) (* x x) (fabs (* 253/1000 x)) (* 253/1000 x))
1.0ms
x
@0
((- -253/1000 (* 3/25 x)) (+ (* (- -253/1000 (* 3/25 x)) x) 1) (* 3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (+ (* (* x x) 3/25) (fabs (* 253/1000 x))) (* x x) (fabs (* 253/1000 x)) (* 253/1000 x))

simplify99.0ms (1.8%)

Memory
7.2MiB live, 126.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044157
1122157
2338153
3961145
44444145
08365130
Stop Event
iter limit
node limit
Counts
23 → 23
Calls
Call 1
Inputs
-253/1000
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 3/25 x)
(* -3/25 (pow x 2))
(* -3/25 x)
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(- 1 (fabs (* 253/1000 x)))
(- (+ 1 (* -3/25 (pow x 2))) (fabs (* 253/1000 x)))
(fabs (* 253/1000 x))
(+ (fabs (* 253/1000 x)) (* 3/25 (pow x 2)))
(pow x 2)
(* 253/1000 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -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 (/ (fabs (* 253/1000 x)) (pow x 2)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (/ (fabs (* 253/1000 x)) (pow x 2))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
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))
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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(- 1 (fabs (* 253/1000 x)))
(fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64))
(- (+ 1 (* -3/25 (pow x 2))) (fabs (* 253/1000 x)))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fabs (* 253/1000 x))
(*.f64 (fabs.f64 x) #s(literal 253/1000 binary64))
(+ (fabs (* 253/1000 x)) (* 3/25 (pow x 2)))
(*.f64 (fma.f64 (fabs.f64 x) #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fabs.f64 x))
(pow x 2)
(*.f64 x x)
(* 253/1000 x)
(*.f64 #s(literal 253/1000 binary64) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3/25 binary64)) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (/ (fabs (* 253/1000 x)) (pow x 2)))))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3/25 binary64)) (fabs.f64 x) #s(literal -253/1000 binary64)) (fabs.f64 x))
(* 3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (+ 3/25 (/ (fabs (* 253/1000 x)) (pow x 2))))
(*.f64 (fma.f64 (fabs.f64 x) #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) (fabs.f64 x))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3/25 binary64)) x #s(literal -253/1000 binary64)) x)

rewrite147.0ms (2.7%)

Memory
9.4MiB live, 165.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033112
048107
1216107
21479103
0914199
Stop Event
iter limit
node limit
iter limit
Counts
16 → 405
Calls
Call 1
Inputs
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))))
(fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x)))
(*.f64 x x)
(fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))
(*.f64 #s(literal 253/1000 binary64) x)
Outputs
(/.f64 (-.f64 (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)) (pow.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(literal 3 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))) (fma.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 (*.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 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 (pow.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (fma.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 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))) #s(literal 3 binary64))) (fma.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 #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))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 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 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 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 -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 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 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 -16194277/1000000000 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal -3/25 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal -3/25 binary64)) (*.f64 (neg.f64 x) #s(literal -3/25 binary64)) (*.f64 #s(literal -253/1000 binary64) (*.f64 (neg.f64 x) #s(literal -3/25 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))))))
(/.f64 (+.f64 #s(literal -16194277/1000000000 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 3/25 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 #s(literal -253/1000 binary64) (*.f64 (neg.f64 x) #s(literal 3/25 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -16194277/1000000000 binary64) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.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)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64)))))
(/.f64 (-.f64 (*.f64 #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 #s(literal 9/625 binary64) (*.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 9/625 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64)) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))))
(/.f64 (-.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 (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)) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 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 #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 (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) #s(literal -16194277/1000000000 binary64))) (*.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64))))))
(/.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64)) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal 759/25000 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal -16194277/1000000000 binary64) (pow.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 3 binary64)))) (neg.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))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (neg.f64 (+.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) (*.f64 x #s(literal 759/25000 binary64))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) x))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) x))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 253/1000 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 253/1000 binary64) x) x)) (sqrt.f64 #s(literal 253/1000 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal -253/1000 binary64))) (sqrt.f64 (*.f64 x #s(literal -253/1000 binary64))))
(*.f64 (sqrt.f64 #s(literal 253/1000 binary64)) (sqrt.f64 (*.f64 x (*.f64 #s(literal 253/1000 binary64) x))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 253/1000 binary64) x))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 253/1000 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 253/1000 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 253/1000 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal -253/1000 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal -253/1000 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 64009/1000000 binary64) #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 #s(literal 253/1000 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 253/1000 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 253/1000 binary64) (*.f64 #s(literal 253/1000 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) x)) (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) x)))
(*.f64 #s(literal 253/1000 binary64) x)
(*.f64 x (pow.f64 #s(literal 64009/1000000 binary64) #s(literal 1/2 binary64)))
(*.f64 x #s(literal 253/1000 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 253/1000 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 253/1000 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal -253/1000 binary64)))))
(fabs.f64 (neg.f64 (*.f64 x #s(literal -253/1000 binary64))))
(fabs.f64 (*.f64 x #s(literal -253/1000 binary64)))
(fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))

eval58.0ms (1.1%)

Memory
13.5MiB live, 93.9MiB allocated
Compiler

Compiled 9 960 to 1 266 computations (87.3% saved)

prune14.0ms (0.3%)

Memory
2.9MiB live, 39.4MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New3527359
Fresh112
Picked145
Done134
Total35515370
Accuracy
100.0%
Counts
370 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
99.8%
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
99.8%
(fma.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))) x #s(literal 1 binary64))
99.9%
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
74.7%
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
50.3%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
52.7%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (*.f64 x #s(literal -253/1000 binary64))))
45.6%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (/.f64 (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
52.7%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
3.8%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
99.3%
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
51.7%
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
51.9%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 386 to 308 computations (20.2% saved)

simplify60.0ms (1.1%)

Memory
-2.5MiB live, 35.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
cost-diff0
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
cost-diff1
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
cost-diff1
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64))
cost-diff0
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
cost-diff0
(-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
cost-diff0
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
cost-diff0
(fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
cost-diff0
(fabs.f64 x)
cost-diff0
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(literal -253/1000 binary64) x)
cost-diff0
#s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x))
cost-diff0
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
cost-diff0
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
cost-diff0
(/.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)))
cost-diff0
(fma.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))) x #s(literal 1 binary64))
cost-diff1
(-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042225
069222
1140217
2330217
3832217
41720217
52805217
63265217
73350217
83390217
93390217
03390207
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.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))) x #s(literal 1 binary64))
(/.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 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
#s(literal 64009/1000000 binary64)
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
#s(literal 9/625 binary64)
(*.f64 x 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(literal 1 binary64)
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x))
(*.f64 #s(literal -253/1000 binary64) x)
#s(literal -253/1000 binary64)
x
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fabs.f64 x)
x
(fma.f64 (fabs.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)
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
#s(literal -253/1000 binary64)
(sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
#s(literal 9/625 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64))
(*.f64 #s(literal 9/625 binary64) x)
#s(literal 9/625 binary64)
x
(neg.f64 x)
#s(literal 64009/1000000 binary64)
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
#s(literal -253/1000 binary64)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
#s(literal 1 binary64)
Outputs
(fma.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))) x #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #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 (-.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 (fma.f64 (*.f64 x #s(literal 9/625 binary64)) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal 64009/1000000 binary64)
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
x
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal 3/25 binary64)
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x))
(*.f64 #s(literal -253/1000 binary64) x)
#s(literal -253/1000 binary64)
x
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fabs.f64 x) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) (fabs.f64 x) #s(literal 1 binary64))
(fabs.f64 x)
x
(fma.f64 (fabs.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)
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
(-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64))))
#s(literal -253/1000 binary64)
(sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 9/625 binary64)))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal 3/25 binary64) x #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 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
(/.f64 (fma.f64 (*.f64 x #s(literal 9/625 binary64)) x #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(*.f64 #s(literal 9/625 binary64) x)
(*.f64 x #s(literal 9/625 binary64))
#s(literal 9/625 binary64)
x
(neg.f64 x)
#s(literal 64009/1000000 binary64)
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
#s(literal 1 binary64)

localize130.0ms (2.4%)

Memory
-22.5MiB live, 213.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64))
accuracy0.1640625
(*.f64 #s(literal 9/625 binary64) x)
accuracy0.25
(*.f64 #s(literal -3/25 binary64) x)
accuracy18.310385922374046
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
accuracy0.00390625
(-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
accuracy0.05078125
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
accuracy0.09765625
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
accuracy32.183095207556306
(sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
accuracy0.0
(fabs.f64 x)
accuracy0.0
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
accuracy0.05078125
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
accuracy0.140625
(fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
accuracy0.0703125
(*.f64 #s(literal -253/1000 binary64) x)
accuracy29.460727665709758
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
accuracy32.215584593526536
#s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x))
accuracy0.0546875
(fma.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))) x #s(literal 1 binary64))
accuracy0.09765625
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
accuracy0.1328125
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
accuracy18.310385922374046
(/.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)))
Samples
92.0ms253×0valid
5.0ms5exit
Compiler

Compiled 438 to 92 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 24.0ms (30.5% of total)
const: 23.0ms (29.2% of total)
ival-add: 13.0ms (16.5% of total)
ival-sub: 6.0ms (7.6% of total)
ival-sqrt: 4.0ms (5.1% of total)
ival-div: 3.0ms (3.8% of total)
ival-fabs: 2.0ms (2.5% of total)
adjust: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
21 → 32
Calls
Call 1
Inputs
(-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(fma.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))) x #s(literal 1 binary64))
(/.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 #s(literal 9/625 binary64) (*.f64 x x))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x))
(*.f64 #s(literal -253/1000 binary64) x)
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fabs.f64 x)
(fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal 9/625 binary64) x)
Outputs
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-253/1000
(- (* -3/25 x) 253/1000)
(* 9/625 (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(- 1 (fabs (* 253/1000 x)))
(- (+ 1 (* -3/25 (pow x 2))) (fabs (* 253/1000 x)))
(+ 1 (* (fabs x) (- (* -3/25 (fabs x)) 253/1000)))
(fabs x)
(- (* -3/25 (fabs x)) 253/1000)
(* 3/25 x)
(- (* 3/25 x) 253/1000)
(* -3/25 x)
(* 9/625 x)
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -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)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (/ (fabs (* 253/1000 x)) (pow x 2)))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* -1 (/ (- 253/1000 (/ 1 x)) x))))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((- 64009/1000000 (* 9/625 (* x x))) (+ (* (/ (- 64009/1000000 (* 9/625 (* x x))) (+ (* x 3/25) -253/1000)) x) 1) (/ (- 64009/1000000 (* 9/625 (* x x))) (+ (* x 3/25) -253/1000)) (* 9/625 (* x x)) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* (+ (* -3/25 x) -253/1000) x) (* -253/1000 x) (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (+ (* (fabs x) (+ (* (fabs x) -3/25) -253/1000)) 1) (fabs x) (+ (* (fabs x) -3/25) -253/1000) (+ (* (- -253/1000 (sqrt (* 9/625 (* x x)))) x) 1) (- -253/1000 (sqrt (* 9/625 (* x x)))) (sqrt (* 9/625 (* x x))) (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x)) (+ (* (/ (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x))) x) 1) (/ (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x))) (+ (* x 3/25) -253/1000) (* -3/25 x) (* 9/625 x))
3.0ms
x
@-inf
((- 64009/1000000 (* 9/625 (* x x))) (+ (* (/ (- 64009/1000000 (* 9/625 (* x x))) (+ (* x 3/25) -253/1000)) x) 1) (/ (- 64009/1000000 (* 9/625 (* x x))) (+ (* x 3/25) -253/1000)) (* 9/625 (* x x)) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* (+ (* -3/25 x) -253/1000) x) (* -253/1000 x) (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (+ (* (fabs x) (+ (* (fabs x) -3/25) -253/1000)) 1) (fabs x) (+ (* (fabs x) -3/25) -253/1000) (+ (* (- -253/1000 (sqrt (* 9/625 (* x x)))) x) 1) (- -253/1000 (sqrt (* 9/625 (* x x)))) (sqrt (* 9/625 (* x x))) (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x)) (+ (* (/ (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x))) x) 1) (/ (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x))) (+ (* x 3/25) -253/1000) (* -3/25 x) (* 9/625 x))
3.0ms
x
@0
((- 64009/1000000 (* 9/625 (* x x))) (+ (* (/ (- 64009/1000000 (* 9/625 (* x x))) (+ (* x 3/25) -253/1000)) x) 1) (/ (- 64009/1000000 (* 9/625 (* x x))) (+ (* x 3/25) -253/1000)) (* 9/625 (* x x)) (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (* (+ (* -3/25 x) -253/1000) x) (* -253/1000 x) (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (+ (* (fabs x) (+ (* (fabs x) -3/25) -253/1000)) 1) (fabs x) (+ (* (fabs x) -3/25) -253/1000) (+ (* (- -253/1000 (sqrt (* 9/625 (* x x)))) x) 1) (- -253/1000 (sqrt (* 9/625 (* x x)))) (sqrt (* 9/625 (* x x))) (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x)) (+ (* (/ (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x))) x) 1) (/ (+ (* (* 9/625 x) (neg x)) 64009/1000000) (- -253/1000 (* -3/25 x))) (+ (* x 3/25) -253/1000) (* -3/25 x) (* 9/625 x))

simplify124.0ms (2.2%)

Memory
13.7MiB live, 168.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066219
1168218
2445214
31174205
44594201
08275182
Stop Event
iter limit
node limit
Counts
32 → 32
Calls
Call 1
Inputs
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-253/1000
(- (* -3/25 x) 253/1000)
(* 9/625 (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(- 1 (fabs (* 253/1000 x)))
(- (+ 1 (* -3/25 (pow x 2))) (fabs (* 253/1000 x)))
(+ 1 (* (fabs x) (- (* -3/25 (fabs x)) 253/1000)))
(fabs x)
(- (* -3/25 (fabs x)) 253/1000)
(* 3/25 x)
(- (* 3/25 x) 253/1000)
(* -3/25 x)
(* 9/625 x)
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -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)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (/ (fabs (* 253/1000 x)) (pow x 2)))))
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 (pow x 2))
(* (pow x 2) (- 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* -1 (/ (- 253/1000 (/ 1 x)) x))))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
Outputs
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 (*.f64 x 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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
-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))
(* 9/625 (pow x 2))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(- 1 (fabs (* 253/1000 x)))
(fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64))
(- (+ 1 (* -3/25 (pow x 2))) (fabs (* 253/1000 x)))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(+ 1 (* (fabs x) (- (* -3/25 (fabs x)) 253/1000)))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fabs x)
(fabs.f64 x)
(- (* -3/25 (fabs x)) 253/1000)
(-.f64 (*.f64 (fabs.f64 x) #s(literal -3/25 binary64)) #s(literal 253/1000 binary64))
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(- (* 3/25 x) 253/1000)
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(* -9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9/625 binary64))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) #s(literal 9/625 binary64)) x) x)
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/25 binary64)) x #s(literal -253/1000 binary64)) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (/ (fabs (* 253/1000 x)) (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 (/.f64 #s(literal -253/1000 binary64) (fabs.f64 x)) #s(literal 3/25 binary64)) x)) x)
(* x (- 3/25 (* 253/1000 (/ 1 x))))
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -253/1000 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal 3/25 binary64)) (*.f64 x x))
(* 3/25 (pow x 2))
(*.f64 (*.f64 #s(literal 3/25 binary64) x) x)
(* (pow x 2) (- 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) x)
(* (pow x 2) (+ 3/25 (* -1 (/ (- 253/1000 (/ 1 x)) x))))
(fma.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(* -1 (* x (- (* 253/1000 (/ 1 x)) 3/25)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 253/1000 binary64) x) #s(literal 3/25 binary64)))

rewrite171.0ms (3.1%)

Memory
-18.8MiB live, 188.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042190
069174
1317141
22625125
010327125
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 339
Calls
Call 1
Inputs
(-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(fma.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))) x #s(literal 1 binary64))
(/.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 #s(literal 9/625 binary64) (*.f64 x x))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x))
(*.f64 #s(literal -253/1000 binary64) x)
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64))
(fabs.f64 x)
(fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
(-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
(sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64))
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x)))
(fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal 9/625 binary64) x)
Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))))) (neg.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 576081/625000000 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) #s(literal 4097152081/1000000000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64)) #s(literal 4097152081/1000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 262254607552729/1000000000000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 #s(literal 576081/625000000 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 #s(literal 4097152081/1000000000000 binary64) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 262254607552729/1000000000000000000 binary64) (+.f64 (fma.f64 #s(literal 576081/625000000 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) #s(literal 4097152081/1000000000000 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 576081/625000000 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) #s(literal 4097152081/1000000000000 binary64)) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 6 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal 576081/625000000 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) #s(literal 4097152081/1000000000000 binary64)) (+.f64 (fma.f64 #s(literal 576081/625000000 binary64) (*.f64 x x) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64))) #s(literal 4097152081/1000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64)) #s(literal 4097152081/1000000000000 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64)) (-.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 6 binary64)) (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 #s(literal 576081/625000000 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 #s(literal 576081/625000000 binary64) (*.f64 x x)))) #s(literal 262254607552729/1000000000000000000 binary64))) (*.f64 (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 #s(literal 576081/625000000 binary64) (*.f64 x x)))) (fma.f64 #s(literal 81/390625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4097152081/1000000000000 binary64) (*.f64 #s(literal 576081/625000000 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4097152081/1000000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64)))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)))
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(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -3/25 binary64))) (sqrt.f64 x) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3/25 binary64))) (sqrt.f64 x) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/25 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/25 binary64) x))) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x))) (sqrt.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x))) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x)) (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -3/25 binary64) x)) (sqrt.f64 (*.f64 #s(literal -3/25 binary64) x)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) (sqrt.f64 #s(literal -3/25 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 #s(literal -3/25 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 #s(literal 3/25 binary64)) (sqrt.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 x x))) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -3/25 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3/25 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 #s(literal -3/25 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal -3/25 binary64) x)) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -3/25 binary64) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 #s(literal -3/25 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3/25 binary64) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (pow.f64 #s(literal 3/25 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (/.f64 #s(literal -64009/1000000 binary64) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (*.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(fma.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64))) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64)) (*.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(fma.f64 (/.f64 #s(literal 64009/1000000 binary64) (-.f64 #s(literal -16194277/1000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)) (*.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(fma.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal -759/25000 binary64) x))) (*.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64))) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) #s(literal 64009/1000000 binary64))) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64)) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) (-.f64 #s(literal -16194277/1000000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64)) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64))) (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal -759/25000 binary64) x))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(fma.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x))) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x))) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -3/25 binary64) (*.f64 #s(literal -3/25 binary64) x)) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal 3/25 binary64) (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1/2 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 3/25 binary64)) #s(literal -253/1000 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/25 binary64)) (sqrt.f64 x) #s(literal -253/1000 binary64))
(fma.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9/625 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 9/625 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #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))
(fma.f64 #s(literal 9/625 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal 3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(-.f64 (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #s(literal 64009/1000000 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal -9/625 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64))) (/.f64 #s(literal 64009/1000000 binary64) (-.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64))))
(-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (*.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal -759/25000 binary64) x)))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal -759/25000 binary64) x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x)))) (/.f64 #s(literal -16194277/1000000000 binary64) (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 759/25000 binary64) x)))))
(+.f64 (*.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))) (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))))
(+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) (*.f64 (*.f64 x #s(literal 9/625 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)))))
(+.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal -253/1000 binary64))
(+.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal -253/1000 binary64))
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x))
(+.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 x #s(literal -3/25 binary64))
(*.f64 x #s(literal 9/625 binary64))
(*.f64 #s(literal 9/625 binary64) x)

eval93.0ms (1.7%)

Memory
8.1MiB live, 124.5MiB allocated
Compiler

Compiled 11 409 to 1 967 computations (82.8% saved)

prune26.0ms (0.5%)

Memory
1.5MiB live, 40.0MiB allocated
Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New5623565
Fresh123
Picked235
Done077
Total56515580
Accuracy
100.0%
Counts
580 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
99.8%
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
98.6%
(fma.f64 (/.f64 #s(approx (- 64009/1000000 (* 9/625 (* x x))) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
99.9%
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
74.7%
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
50.3%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
52.7%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (*.f64 x #s(literal -253/1000 binary64))))
45.6%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (/.f64 (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
52.7%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
3.7%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #s(literal 253/1000 binary64))))
3.8%
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
99.3%
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
51.9%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
51.8%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
48.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 690 to 327 computations (52.6% saved)

regimes24.0ms (0.4%)

Memory
0.9MiB live, 37.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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 (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (*.f64 x #s(literal -253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (fabs.f64 (*.f64 #s(literal 253/1000 binary64) x))))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (- 64009/1000000 (* 9/625 (* x x))) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -9/625 binary64) x) x #s(literal 64009/1000000 binary64)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (/.f64 (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) x) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))))
(fma.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))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 9/625 binary64) x) (neg.f64 x) #s(literal 64009/1000000 binary64)) (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal -3/25 binary64) x))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (*.f64 (*.f64 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 64009/1000000 binary64) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 9/625 binary64) x)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(fma.f64 (fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (/.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
Calls

3 calls:

8.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
7.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
7.0ms
x
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 17 to 15 computations (11.8% saved)

regimes16.0ms (0.3%)

Memory
-9.6MiB live, 27.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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 (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal -253/1000 binary64) (*.f64 #s(literal 3/25 binary64) x)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -3/25 binary64) #s(literal -253/1000 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (*.f64 x #s(literal -253/1000 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Calls

3 calls:

7.0ms
x
5.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
4.0ms
(-.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 17 to 15 computations (11.8% saved)

regimes10.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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 (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) 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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
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
99.3%3x
99.3%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
99.3%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes9.0ms (0.2%)

Memory
-32.1MiB live, 12.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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 (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal -3/25 binary64)))
Calls

2 calls:

6.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
3.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Results
AccuracySegmentsBranch
99.1%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
99.1%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes6.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB 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) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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 (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) 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 #s(literal -3/25 binary64) x) x))
Calls

2 calls:

3.0ms
(*.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
99.0%2(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
99.0%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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 (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
(*.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
51.7%1x
51.7%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
51.7%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes8.0ms (0.2%)

Memory
-22.9MiB live, 15.3MiB 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) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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 (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
Outputs
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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)))
Calls

3 calls:

4.0ms
x
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
51.9%2x
50.3%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
50.3%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes5.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Accuracy

Total -30.1b remaining (-90.9%)

Threshold costs -30.1b (-90.9%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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))))
2.0ms
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
48.3%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
48.3%1(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
48.3%1x
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.35374280429167e-9
99.11077132201913
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.35374280429167e-9
99.11077132201913
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.35374280429167e-9
99.11077132201913
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch22.0ms (0.4%)

Memory
-5.4MiB live, 33.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-65012778445124.05
-0.033681171470272296
Samples
14.0ms160×0valid
Compiler

Compiled 382 to 332 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
const: 4.0ms (52.4% of total)
ival-mult: 2.0ms (26.2% of total)
ival-sub: 1.0ms (13.1% of total)
ival-add: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify93.0ms (1.7%)

Memory
13.9MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054203
193203
2207203
3483203
4963203
51398203
61625203
71854203
82135203
93792203
107602203
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #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 3022314549036573/302231454903657293676544 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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/302231454903657293676544 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 3022314549036573/302231454903657293676544 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 #s(literal -3/25 binary64) x) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 3/25 binary64) (*.f64 #s(literal 253/1000 binary64) x)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #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 3022314549036573/302231454903657293676544 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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/302231454903657293676544 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 3022314549036573/302231454903657293676544 binary64)) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.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 3022314549036573/302231454903657293676544 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 #s(literal -3/25 binary64) x) x)))
(if (<=.f64 (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))) #s(literal 3022314549036573/302231454903657293676544 binary64)) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))
#s(approx (- 1 (+ (* (* x x) 3/25) (fabs (* 253/1000 x)))) (fma.f64 #s(literal -253/1000 binary64) (fabs.f64 x) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #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))))
(if (<=.f64 x #s(literal -4728779608739021/1125899906842624 binary64)) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 x #s(literal 253/1000 binary64)))) #s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) (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))
#s(approx (- 1 (+ (* (* x x) 3/25) (* 253/1000 x))) #s(literal 1 binary64))

soundness1.8s (32.1%)

Memory
4.4MiB live, 756.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042190
069174
1317141
22625125
010327125
044157
1122157
2338153
3961145
44444145
08365130
03584
19684
222682
359681
4163781
5388081
6687281
0823269
0824
01224
15624
242224
3461224
0843420
030156
049123
1218115
21799115
08079108
0141338
1407326
21142314
33290310
08271289
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 391 to 182 computations (53.5% saved)

preprocess108.0ms (2%)

Memory
4.7MiB live, 121.1MiB allocated
Compiler

Compiled 460 to 126 computations (72.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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