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

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

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

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (30%)

Memory
33.4MiB live, 1 697.8MiB allocated; 564ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 750.0ms
const: 269.0ms (35.8% of total)
ival-add: 256.0ms (34.1% of total)
ival-mult: 149.0ms (19.9% of total)
ival-sub: 59.0ms (7.9% of total)
ival-true: 6.0ms (0.8% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 4.0ms (0.5% of total)
adjust: 3.0ms (0.4% of total)
Bogosity

explain135.0ms (2.4%)

Memory
-20.4MiB live, 167.6MiB allocated; 40ms collecting garbage
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
51.0ms510×0valid
1.0ms2×2valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
const: 13.0ms (49.2% of total)
ival-mult: 7.0ms (26.5% of total)
ival-sub: 3.0ms (11.3% of total)
ival-add: 2.0ms (7.6% 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)

preprocess30.0ms (0.5%)

Memory
-1.9MiB live, 41.1MiB allocated; 12ms collecting garbage
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (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; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
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
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3/25 binary64))
cost-diff0
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
cost-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
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 (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)

localize33.0ms (0.6%)

Memory
6.4MiB live, 50.0MiB allocated; 13ms collecting garbage
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)))))
accuracy0.00390625
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy0.125
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
accuracy0.2265625
(*.f64 x #s(literal 3/25 binary64))
Samples
25.0ms255×0valid
0.0ms1×2valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
const: 12.0ms (65.4% of total)
ival-mult: 3.0ms (16.3% of total)
ival-add: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% 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)

series3.0ms (0.1%)

Memory
6.3MiB live, 6.2MiB allocated; 0ms collecting garbage
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))

simplify121.0ms (2.1%)

Memory
-40.7MiB live, 110.4MiB allocated; 42ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03584
19684
222682
359681
4163781
5388081
6687281
0823269
Stop Event
1×iter limit
1×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))

rewrite263.0ms (4.6%)

Memory
16.8MiB live, 252.1MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15624
242224
3461224
0843420
Stop Event
1×iter limit
1×node limit
1×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))))

eval36.0ms (0.6%)

Memory
-10.2MiB live, 89.7MiB allocated; 10ms collecting garbage
Compiler

Compiled 5 693 to 883 computations (84.5% saved)

prune10.0ms (0.2%)

Memory
24.7MiB live, 24.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2649273
Fresh000
Picked101
Done000
Total2659274
Accuracy
100.0%
Counts
274 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.7%
(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%
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
▶99.8%
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.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 #s(literal 9/625 binary64) x) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))))
55.5%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
47.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶46.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
▶54.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 256 to 208 computations (18.8% saved)

simplify124.0ms (2.2%)

Memory
17.5MiB live, 64.5MiB allocated; 2ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))
cost-diff0
(*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff1
(-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 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 -3/25 binary64) x)
cost-diff0
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
cost-diff0
(neg.f64 x)
cost-diff3
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029139
047142
191136
2218132
3605132
41036132
52224132
63969132
74474132
84546132
94578132
104578132
114578132
124578132
135068132
145300132
155300132
05300128
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
(neg.f64 x)
x
#s(literal 253/1000 binary64)
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.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 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
#s(literal 1 binary64)
(*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)))
#s(literal 64009/1000000 binary64)
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)
x
#s(literal 2 binary64)
(/.f64 x (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))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
Outputs
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.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))
(neg.f64 x)
x
#s(literal 253/1000 binary64)
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.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 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(fma.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 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 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 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)))
(-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal 64009/1000000 binary64)
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)
x
#s(literal 2 binary64)
(/.f64 x (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))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)

localize169.0ms (3%)

Memory
-24.6MiB live, 352.0MiB allocated; 49ms collecting garbage
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.1953125
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy0.20769501953688405
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))
accuracy0.2265625
(*.f64 #s(literal 3/25 binary64) x)
accuracy0.328125
(*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
accuracy0.0625
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy0.1171875
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.16015625
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
accuracy34.28126548054016
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
accuracy29.31130584048365
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy0.0
(neg.f64 x)
accuracy0.00390625
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
accuracy0.0703125
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
accuracy0.2265625
(*.f64 #s(literal -3/25 binary64) x)
Samples
101.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 143 to 32 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
const: 41.0ms (49% of total)
ival-mult: 26.0ms (31.1% of total)
ival-add: 7.0ms (8.4% of total)
ival-sub: 3.0ms (3.6% of total)
ival-pow2: 3.0ms (3.6% of total)
ival-div: 2.0ms (2.4% of total)
ival-neg: 1.0ms (1.2% 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)

series10.0ms (0.2%)

Memory
32.9MiB live, 32.9MiB allocated; 0ms collecting garbage
Counts
16 → 34
Calls
Call 1
Inputs
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
(neg.f64 x)
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 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))
(*.f64 x x)
(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 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
Outputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -1 x)
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 x)
(* -3/25 (pow x 2))
(pow x 2)
-253/1000
(- (* -3/25 x) 253/1000)
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* 9/625 (pow x 2))
(* 3/25 x)
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 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))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((+ (* (neg x) 253/1000) (+ (* (* -3/25 x) x) 1)) (neg x) (+ (* (* -3/25 x) x) 1) (* -3/25 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (pow (* 3/25 x) 2) (* 3/25 x) (/ x (+ (* -3/25 x) 253/1000)))
3.0ms
x
@inf
((+ (* (neg x) 253/1000) (+ (* (* -3/25 x) x) 1)) (neg x) (+ (* (* -3/25 x) x) 1) (* -3/25 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (pow (* 3/25 x) 2) (* 3/25 x) (/ x (+ (* -3/25 x) 253/1000)))
3.0ms
x
@0
((+ (* (neg x) 253/1000) (+ (* (* -3/25 x) x) 1)) (neg x) (+ (* (* -3/25 x) x) 1) (* -3/25 x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (* x x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (pow (* 3/25 x) 2) (* 3/25 x) (/ x (+ (* -3/25 x) 253/1000)))

simplify150.0ms (2.6%)

Memory
-20.3MiB live, 219.0MiB allocated; 20ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093235
1292234
2792222
32218221
46680221
08465204
Stop Event
1×iter limit
1×node limit
Counts
34 → 34
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -1 x)
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 x)
(* -3/25 (pow x 2))
(pow x 2)
-253/1000
(- (* -3/25 x) 253/1000)
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* 9/625 (pow x 2))
(* 3/25 x)
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 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))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
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))
(* -1 x)
(neg.f64 x)
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #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))
(pow x 2)
(*.f64 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))
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 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)
(* 9/625 (pow x 2))
(*.f64 #s(literal 9/625 binary64) (*.f64 x x))
(* 3/25 x)
(*.f64 #s(literal 3/25 binary64) x)
(* 1000/253 x)
(*.f64 #s(literal 1000/253 binary64) x)
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 (fma.f64 #s(literal 120000/64009 binary64) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal 14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 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)
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3/25 binary64)) x) x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 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))
(* (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 #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)
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal 64009/1728 binary64)) x)) x) #s(literal 25/3 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))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal 64009/1728 binary64)) x)) x) #s(literal 25/3 binary64))

rewrite400.0ms (7%)

Memory
5.1MiB live, 340.4MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029117
047120
1209100
21636100
0826396
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 529
Calls
Call 1
Inputs
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
(neg.f64 x)
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 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))
(*.f64 x x)
(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 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #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)) (-.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.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 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.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 (*.f64 (/.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal -253/1000 binary64)) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -253/1000 binary64) (neg.f64 x)) (*.f64 #s(literal -253/1000 binary64) (neg.f64 x)))) (+.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 253/1000 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 253/1000 binary64)))) (+.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 253/1000 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))) x)))
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(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (cosh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (sinh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))) (*.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (sinh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
(fabs.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3/25 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x))))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))) (sinh.f64 (log.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x))) (fabs.f64 (sqrt.f64 (*.f64 #s(literal 3/25 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 (pow.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x)) (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x)))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 x #s(literal 3/25 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3/25 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 9/625 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3/25 binary64) x)))
(fabs.f64 (*.f64 #s(literal 3/25 binary64) (neg.f64 x)))
(fabs.f64 (*.f64 #s(literal 3/25 binary64) x))
(fabs.f64 (*.f64 #s(literal -3/25 binary64) x))
(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))))
(*.f64 (/.f64 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 (/.f64 x (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 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (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)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))

eval116.0ms (2%)

Memory
-25.2MiB live, 117.8MiB allocated; 24ms collecting garbage
Compiler

Compiled 13 365 to 1 845 computations (86.2% saved)

prune13.0ms (0.2%)

Memory
28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New4655470
Fresh224
Picked235
Done000
Total46910479
Accuracy
100.0%
Counts
479 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.7%
(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))
▶55.5%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶99.9%
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
99.8%
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
▶98.8%
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
▶47.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓46.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
▶46.4%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
✓54.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 245 to 202 computations (17.6% saved)

simplify20.0ms (0.3%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
cost-diff0
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
cost-diff0
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 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
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
cost-diff0
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.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 -3/25 binary64) x) x #s(literal 1 binary64))
cost-diff2
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035172
050172
194171
2223169
3576169
4921169
51001169
61017169
71031169
01031162
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
x
#s(literal -253/1000 binary64)
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
#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 (+ 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) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.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
(/.f64 x (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))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
Outputs
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.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))
x
#s(literal -253/1000 binary64)
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
#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 (+ 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) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 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))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.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
(/.f64 x (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))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)

localize137.0ms (2.4%)

Memory
-28.5MiB live, 103.4MiB allocated; 26ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
accuracy0.1953125
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy0.328125
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
accuracy34.12987207642938
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
accuracy0.1171875
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy0.125
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy33.79623059129111
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
accuracy0.1015625
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
accuracy0.2265625
(*.f64 #s(literal -3/25 binary64) x)
accuracy34.28126548054016
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
accuracy0.0625
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy28.645628602753803
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy0.00390625
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
accuracy0.0703125
(fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))
accuracy0.2265625
(*.f64 #s(literal -3/25 binary64) x)
Samples
65.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 151 to 31 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
const: 18.0ms (36.1% of total)
ival-mult: 17.0ms (34.1% of total)
ival-add: 6.0ms (12% of total)
ival-sub: 3.0ms (6% of total)
ival-pow2: 3.0ms (6% of total)
ival-div: 2.0ms (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)

series6.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Counts
15 → 32
Calls
Call 1
Inputs
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.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)
#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))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
Outputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 x)
-253/1000
(- (* -3/25 x) 253/1000)
(* -3/25 (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 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))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (* x -253/1000) (+ (* (* -3/25 x) x) 1)) (+ (* (* -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) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* -9/625 (* x x)) (/ x (+ (* -3/25 x) 253/1000)))
2.0ms
x
@-inf
((+ (* x -253/1000) (+ (* (* -3/25 x) x) 1)) (+ (* (* -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) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* -9/625 (* x x)) (/ x (+ (* -3/25 x) 253/1000)))
1.0ms
x
@0
((+ (* x -253/1000) (+ (* (* -3/25 x) x) 1)) (+ (* (* -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) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* -9/625 (* x x)) (/ x (+ (* -3/25 x) 253/1000)))

simplify184.0ms (3.2%)

Memory
1.8MiB live, 139.7MiB allocated; 38ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091229
1290228
2786219
32147218
46586218
08372200
Stop Event
1×iter limit
1×node limit
Counts
32 → 32
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* -3/25 (pow x 2)))
(* -3/25 x)
-253/1000
(- (* -3/25 x) 253/1000)
(* -3/25 (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 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))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
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))
(+ 1 (* -3/25 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) #s(literal 1 binary64))
(* -3/25 x)
(*.f64 #s(literal -3/25 binary64) 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))
(* -3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3/25 binary64))
(* -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)
(* 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)
64009/1000000
#s(literal 64009/1000000 binary64)
(+ 64009/1000000 (* -9/625 (pow x 2)))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(* -9/625 (pow x 2))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(* 1000/253 x)
(*.f64 #s(literal 1000/253 binary64) x)
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 (fma.f64 #s(literal 120000/64009 binary64) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal 14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 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)
(* (pow x 2) (- (/ 1 (pow x 2)) 3/25))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 3/25 binary64)) x) x)
(* -1 (* 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) (- (* 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)
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal 64009/1728 binary64)) x)) x) #s(literal 25/3 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))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal 64009/1728 binary64)) x)) x) #s(literal 25/3 binary64))

rewrite221.0ms (3.9%)

Memory
33.0MiB live, 172.8MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035145
050145
1213144
21550144
08250141
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 255
Calls
Call 1
Inputs
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (*.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)
#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))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
Outputs
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) (-.f64 (*.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 (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) (-.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)))))))))
(/.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/625 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x))) (*.f64 (*.f64 (*.f64 #s(literal -3/25 binary64) x) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -253/1000 binary64) x))))))
(/.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) (-.f64 (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) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))))
(/.f64 (neg.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))) (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 64009/1000000 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (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) (*.f64 (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 64009/1000000 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -253/1000 binary64) x) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -16194277/1000000000 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 64009/1000000 binary64)) (-.f64 (*.f64 #s(literal -253/1000 binary64) x) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -253/1000 binary64) x) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal -253/1000 binary64) x) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal -253/1000 binary64) x) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -253/1000 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)))) (pow.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) x)))) (fma.f64 (*.f64 x x) #s(literal 64009/1000000 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)) (*.f64 #s(literal -253/1000 binary64) 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)))
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(*.f64 (*.f64 x x) #s(literal -9/625 binary64))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -9/625 binary64) x))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) #s(literal 64009/1000000 binary64))) (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)))
(*.f64 (/.f64 x (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 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) #s(literal 64009/1000000 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 x (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))
(/.f64 (*.f64 x (fma.f64 #s(literal 729/244140625 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81/390625 binary64) (-.f64 (pow.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 x #s(literal -759/25000 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) #s(literal 64009/1000000 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64)) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(/.f64 (neg.f64 x) (neg.f64 (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)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))

eval60.0ms (1%)

Memory
-24.7MiB live, 62.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 9 139 to 1 005 computations (89% saved)

prune10.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New2824286
Fresh112
Picked235
Done033
Total28511296
Accuracy
100.0%
Counts
296 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.7%
(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))
✓55.5%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶98.8%
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
▶98.6%
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
▶47.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))
✓47.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓46.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
✓46.4%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
▶3.6%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
✓54.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Compiler

Compiled 282 to 232 computations (17.7% saved)

simplify176.0ms (3.1%)

Memory
-4.8MiB live, 53.0MiB allocated; 15ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))
cost-diff0
(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))
cost-diff0
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
cost-diff0
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
cost-diff0
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
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)))) (fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))
cost-diff2
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
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 (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
cost-diff0
(*.f64 (*.f64 #s(literal -9/625 binary64) x) x)
cost-diff0
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x))
cost-diff0
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054292
079292
1140290
2303290
3813290
41963290
53514290
64613290
75216290
86089290
96718290
107178290
117184290
127271290
137271290
147271290
157271290
167367290
177369290
07369275
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x))
(*.f64 (*.f64 #s(literal -9/625 binary64) x) x)
(*.f64 #s(literal -9/625 binary64) x)
#s(literal -9/625 binary64)
x
(/.f64 x (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))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #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 (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
x
#s(literal -253/1000 binary64)
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
#s(literal 1 binary64)
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.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(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
#s(literal -25/3 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))
(fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))
#s(literal -27/15625 binary64)
(pow.f64 x #s(literal 3 binary64))
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)))
(fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))
(-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64))
(*.f64 #s(literal 9/625 binary64) x)
#s(literal 9/625 binary64)
#s(literal 759/25000 binary64)
#s(literal 64009/1000000 binary64)
#s(literal 1 binary64)
Outputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (fma.f64 x #s(literal 3/25 binary64) #s(literal -253/1000 binary64))) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 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))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x))
(*.f64 (*.f64 #s(literal -9/625 binary64) x) x)
(*.f64 #s(literal -9/625 binary64) x)
#s(literal -9/625 binary64)
x
(/.f64 x (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))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #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 (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) 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))
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
x
#s(literal -253/1000 binary64)
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(fma.f64 (neg.f64 #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
(*.f64 #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -9/625 binary64) x) x)
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
#s(literal -25/3 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))
(fma.f64 (/.f64 x (fma.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x #s(literal 64009/1000000 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))
#s(literal -27/15625 binary64)
(pow.f64 x #s(literal 3 binary64))
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)))
(/.f64 x (fma.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x #s(literal 64009/1000000 binary64)))
(fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))
(fma.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x #s(literal 64009/1000000 binary64))
(-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64))
(*.f64 #s(literal 9/625 binary64) x)
#s(literal 9/625 binary64)
#s(literal 759/25000 binary64)
#s(literal 64009/1000000 binary64)
#s(literal 1 binary64)

localize205.0ms (3.6%)

Memory
-17.3MiB live, 280.4MiB allocated; 85ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))
accuracy0.1875
(*.f64 #s(literal 9/625 binary64) x)
accuracy4.208372394859382
(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))
accuracy14.524074622066433
(/.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
accuracy0.1328125
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
accuracy0.32421875
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
accuracy33.68162921187858
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
accuracy33.88771202752815
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
accuracy0.0625
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
accuracy0.1015625
(*.f64 (*.f64 #s(literal -3/25 binary64) x) x)
accuracy0.2265625
(*.f64 #s(literal -3/25 binary64) x)
accuracy33.55226132932612
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))
accuracy0.08203125
(*.f64 #s(literal -253/1000 binary64) x)
accuracy28.57799031026813
#s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x))
accuracy33.55226132932612
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
accuracy0.1875
(*.f64 #s(literal -9/625 binary64) x)
accuracy0.1953125
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy0.32421875
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
accuracy33.88771202752815
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x))
Samples
169.0ms255×0valid
2.0ms1×5exit
Compiler

Compiled 241 to 48 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
const: 69.0ms (46.1% of total)
ival-add: 37.0ms (24.7% of total)
ival-mult: 26.0ms (17.4% of total)
ival-sub: 5.0ms (3.3% of total)
ival-pow: 5.0ms (3.3% of total)
ival-div: 4.0ms (2.7% of total)
ival-pow2: 3.0ms (2% of total)
adjust: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-11.4MiB live, 32.6MiB allocated; 6ms collecting garbage
Counts
24 → 56
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x))
(*.f64 (*.f64 #s(literal -9/625 binary64) x) x)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #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)
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.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)
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(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))
(fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 #s(literal -9/625 binary64) x)
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
(*.f64 #s(literal 9/625 binary64) x)
(fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))
Outputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -3/25 x)
(+ 1 (* 253/1000 x))
(+ 1 (* x (+ 253/1000 (* 3/25 x))))
(+ 1 (* x (+ 253/1000 (* x (+ 3/25 (* -3456/64009 (pow x 2)))))))
16194277/1000000000
(+ 16194277/1000000000 (* -27/15625 (pow x 3)))
(pow x 3)
(* 1000000/64009 x)
(* x (+ 1000000/64009 (* 120000000/16194277 x)))
(* x (+ 1000000/64009 (* x (+ 120000000/16194277 (* -1728000000000/1036579476493 (pow x 2))))))
(* x (+ 1000000/64009 (* x (+ 120000000/16194277 (* (pow x 2) (- (* -207360000000000/262254607552729 x) 1728000000000/1036579476493))))))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(* -9/625 x)
(* 9/625 x)
(+ 64009/1000000 (* -759/25000 x))
(+ 64009/1000000 (* x (- (* 9/625 x) 759/25000)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (* 16194277/7200000 (/ 1 (pow x 3)))) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -27/15625 (pow x 3))
(* (pow x 3) (- (* 16194277/1000000000 (/ 1 (pow x 3))) 27/15625))
(/ 625/9 x)
(/ (+ 625/9 (* 31625/216 (/ 1 x))) x)
(/ (- (+ 625/9 (* 31625/216 (/ 1 x))) (/ 80971385/124416 (pow x 3))) x)
(/ (+ 625/9 (+ (* -1 (/ (+ 80971385/124416 (* 4097152081/2985984 (/ 1 x))) (pow x 3))) (* 31625/216 (/ 1 x)))) x)
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 759/25000 (/ 1 x))))
(* (pow x 2) (- (+ 9/625 (/ 64009/1000000 (pow x 2))) (* 759/25000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (+ 1 (* 16194277/7200000 (/ 1 x))) x))) x)) 3/25))
(* -1 (* (pow x 3) (- 27/15625 (* 16194277/1000000000 (/ 1 (pow x 3))))))
(* -1 (/ (- (* -1 (/ (- 31625/216 (* 80971385/124416 (/ 1 (pow x 2)))) x)) 625/9) x))
(* -1 (/ (- (* -1 (/ (+ 31625/216 (* -1 (/ (+ 80971385/124416 (* 4097152081/2985984 (/ 1 x))) (pow x 2)))) x)) 625/9) x))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(* (pow x 2) (+ 9/625 (* -1 (/ (- 759/25000 (* 64009/1000000 (/ 1 x))) x))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* (* -9/625 x) x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (* -253/1000 x) (+ (* x -253/1000) (* (* -3/25 x) x)) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* -9/625 (* x x)) (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (pow x 3) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000)) (/ x (+ (* -3/25 x) 253/1000)) (* -9/625 x) (/ x (+ (* -3/25 x) 253/1000)) (* 9/625 x) (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))
4.0ms
x
@-inf
((- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* (* -9/625 x) x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (* -253/1000 x) (+ (* x -253/1000) (* (* -3/25 x) x)) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* -9/625 (* x x)) (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (pow x 3) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000)) (/ x (+ (* -3/25 x) 253/1000)) (* -9/625 x) (/ x (+ (* -3/25 x) 253/1000)) (* 9/625 x) (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))
3.0ms
x
@0
((- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* (* -9/625 x) x) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (+ (* -3/25 x) -253/1000) x) (* -253/1000 x) (+ (* x -253/1000) (* (* -3/25 x) x)) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* -3/25 x) x) (* -3/25 x) (- 1 (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000)))) (* (- 64009/1000000 (pow (* 3/25 x) 2)) (/ x (+ (* -3/25 x) 253/1000))) (- 64009/1000000 (pow (* 3/25 x) 2)) (* -9/625 (* x x)) (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (pow x 3) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000)) (/ x (+ (* -3/25 x) 253/1000)) (* -9/625 x) (/ x (+ (* -3/25 x) 253/1000)) (* 9/625 x) (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))

simplify123.0ms (2.2%)

Memory
-20.0MiB live, 227.3MiB allocated; 16ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0200495
1647492
21832470
36044467
08210441
Stop Event
1×iter limit
1×node limit
Counts
56 → 56
Calls
Call 1
Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* -9/625 (pow x 2))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* -3/25 (pow x 2))
(* -3/25 x)
(+ 1 (* 253/1000 x))
(+ 1 (* x (+ 253/1000 (* 3/25 x))))
(+ 1 (* x (+ 253/1000 (* x (+ 3/25 (* -3456/64009 (pow x 2)))))))
16194277/1000000000
(+ 16194277/1000000000 (* -27/15625 (pow x 3)))
(pow x 3)
(* 1000000/64009 x)
(* x (+ 1000000/64009 (* 120000000/16194277 x)))
(* x (+ 1000000/64009 (* x (+ 120000000/16194277 (* -1728000000000/1036579476493 (pow x 2))))))
(* x (+ 1000000/64009 (* x (+ 120000000/16194277 (* (pow x 2) (- (* -207360000000000/262254607552729 x) 1728000000000/1036579476493))))))
(* 1000/253 x)
(* x (+ 1000/253 (* 120000/64009 x)))
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(* -9/625 x)
(* 9/625 x)
(+ 64009/1000000 (* -759/25000 x))
(+ 64009/1000000 (* x (- (* 9/625 x) 759/25000)))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (* 16194277/7200000 (/ 1 (pow x 3)))) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -27/15625 (pow x 3))
(* (pow x 3) (- (* 16194277/1000000000 (/ 1 (pow x 3))) 27/15625))
(/ 625/9 x)
(/ (+ 625/9 (* 31625/216 (/ 1 x))) x)
(/ (- (+ 625/9 (* 31625/216 (/ 1 x))) (/ 80971385/124416 (pow x 3))) x)
(/ (+ 625/9 (+ (* -1 (/ (+ 80971385/124416 (* 4097152081/2985984 (/ 1 x))) (pow x 3))) (* 31625/216 (/ 1 x)))) x)
-25/3
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(* 9/625 (pow x 2))
(* (pow x 2) (- 9/625 (* 759/25000 (/ 1 x))))
(* (pow x 2) (- (+ 9/625 (/ 64009/1000000 (pow x 2))) (* 759/25000 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (+ 1 (* 16194277/7200000 (/ 1 x))) x))) x)) 3/25))
(* -1 (* (pow x 3) (- 27/15625 (* 16194277/1000000000 (/ 1 (pow x 3))))))
(* -1 (/ (- (* -1 (/ (- 31625/216 (* 80971385/124416 (/ 1 (pow x 2)))) x)) 625/9) x))
(* -1 (/ (- (* -1 (/ (+ 31625/216 (* -1 (/ (+ 80971385/124416 (* 4097152081/2985984 (/ 1 x))) (pow x 2)))) x)) 625/9) x))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(* (pow x 2) (+ 9/625 (* -1 (/ (- 759/25000 (* 64009/1000000 (/ 1 x))) x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -253/1000 x))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(* 253/1000 x)
(*.f64 #s(literal 253/1000 binary64) x)
(* x (+ 253/1000 (* 3/25 x)))
(*.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x)
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))
(* -9/625 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9/625 binary64))
(* -253/1000 x)
(*.f64 #s(literal -253/1000 binary64) x)
(* x (- (* -3/25 x) 253/1000))
(*.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 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)
(+ 1 (* 253/1000 x))
(fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 253/1000 (* 3/25 x))))
(fma.f64 (fma.f64 x #s(literal 3/25 binary64) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 253/1000 (* x (+ 3/25 (* -3456/64009 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -3456/64009 binary64) (*.f64 x x) #s(literal 3/25 binary64)) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
16194277/1000000000
#s(literal 16194277/1000000000 binary64)
(+ 16194277/1000000000 (* -27/15625 (pow x 3)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27/15625 binary64) #s(literal 16194277/1000000000 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1000000/64009 x)
(*.f64 #s(literal 1000000/64009 binary64) x)
(* x (+ 1000000/64009 (* 120000000/16194277 x)))
(*.f64 (fma.f64 #s(literal 120000000/16194277 binary64) x #s(literal 1000000/64009 binary64)) x)
(* x (+ 1000000/64009 (* x (+ 120000000/16194277 (* -1728000000000/1036579476493 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1728000000000/1036579476493 binary64) (*.f64 x x) #s(literal 120000000/16194277 binary64)) x #s(literal 1000000/64009 binary64)) x)
(* x (+ 1000000/64009 (* x (+ 120000000/16194277 (* (pow x 2) (- (* -207360000000000/262254607552729 x) 1728000000000/1036579476493))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -207360000000000/262254607552729 binary64) x) #s(literal 1728000000000/1036579476493 binary64)) (*.f64 x x) #s(literal 120000000/16194277 binary64)) x #s(literal 1000000/64009 binary64)) x)
(* 1000/253 x)
(*.f64 #s(literal 1000/253 binary64) x)
(* x (+ 1000/253 (* 120000/64009 x)))
(*.f64 (fma.f64 #s(literal 120000/64009 binary64) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* 14400000/16194277 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 14400000/16194277 binary64) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x)
(* x (+ 1000/253 (* x (+ 120000/64009 (* x (+ 14400000/16194277 (* 1728000000/4097152081 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1728000000/4097152081 binary64) x #s(literal 14400000/16194277 binary64)) x #s(literal 120000/64009 binary64)) x #s(literal 1000/253 binary64)) x)
(* -9/625 x)
(*.f64 #s(literal -9/625 binary64) x)
(* 9/625 x)
(*.f64 #s(literal 9/625 binary64) x)
(+ 64009/1000000 (* -759/25000 x))
(fma.f64 #s(literal -759/25000 binary64) x #s(literal 64009/1000000 binary64))
(+ 64009/1000000 (* x (- (* 9/625 x) 759/25000)))
(fma.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x #s(literal 64009/1000000 binary64))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (*.f64 (-.f64 #s(literal -3/25 binary64) (/.f64 #s(literal 253/1000 binary64) x)) x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -253/1000 binary64)) x) #s(literal 3/25 binary64)) (*.f64 x x))
(* 3/25 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3/25 binary64))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 253/1000 binary64) x) #s(literal 3/25 binary64)) x) x)
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(*.f64 (-.f64 (/.f64 #s(literal 64009/1000000 binary64) (*.f64 x x)) #s(literal 9/625 binary64)) (*.f64 x x))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (* 16194277/7200000 (/ 1 (pow x 3)))) (+ 3/25 (* 253/1000 (/ 1 x)))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 16194277/7200000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/25 binary64)) (/.f64 #s(literal 253/1000 binary64) x)) (*.f64 x x) #s(literal 1 binary64))
(* -27/15625 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -27/15625 binary64))
(* (pow x 3) (- (* 16194277/1000000000 (/ 1 (pow x 3))) 27/15625))
(*.f64 (-.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/15625 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 625/9 x)
(/.f64 #s(literal 625/9 binary64) x)
(/ (+ 625/9 (* 31625/216 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 31625/216 binary64) x) #s(literal 625/9 binary64)) x)
(/ (- (+ 625/9 (* 31625/216 (/ 1 x))) (/ 80971385/124416 (pow x 3))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 31625/216 binary64) x) #s(literal 625/9 binary64)) (/.f64 #s(literal 80971385/124416 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (+ 625/9 (+ (* -1 (/ (+ 80971385/124416 (* 4097152081/2985984 (/ 1 x))) (pow x 3))) (* 31625/216 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -80971385/124416 binary64) (/.f64 #s(literal 4097152081/2985984 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -31625/216 binary64) x) #s(literal 625/9 binary64))) x)
-25/3
#s(literal -25/3 binary64)
(* -1 (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 #s(literal -25/3 binary64) (/.f64 #s(literal 1265/72 binary64) x))
(- (* -1 (/ (+ 1265/72 (* 64009/1728 (/ 1 x))) x)) 25/3)
(-.f64 (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 #s(literal 64009/1728 binary64) x)) x) #s(literal 25/3 binary64))
(- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) (pow x 2))) (+ 25/3 (* 1265/72 (/ 1 x))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal -1265/72 binary64)) x) #s(literal 25/3 binary64))
(* 9/625 (pow x 2))
(*.f64 (*.f64 #s(literal 9/625 binary64) x) x)
(* (pow x 2) (- 9/625 (* 759/25000 (/ 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 9/625 binary64) (/.f64 #s(literal 759/25000 binary64) x)) x) x)
(* (pow x 2) (- (+ 9/625 (/ 64009/1000000 (pow x 2))) (* 759/25000 (/ 1 x))))
(*.f64 (*.f64 (-.f64 #s(literal 9/625 binary64) (/.f64 (-.f64 #s(literal 759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)) x)) x) x)
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 253/1000 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 3/25 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (+ 253/1000 (* -1 (/ (+ 1 (* 16194277/7200000 (/ 1 x))) x))) x)) 3/25))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 16194277/7200000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3/25 binary64)) (/.f64 #s(literal 253/1000 binary64) x)) (*.f64 x x) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- 27/15625 (* 16194277/1000000000 (/ 1 (pow x 3))))))
(*.f64 (+.f64 (/.f64 #s(literal 16194277/1000000000 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -27/15625 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- 31625/216 (* 80971385/124416 (/ 1 (pow x 2)))) x)) 625/9) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -31625/216 binary64) (/.f64 #s(literal -80971385/124416 binary64) (*.f64 x x))) x) #s(literal 625/9 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 31625/216 (* -1 (/ (+ 80971385/124416 (* 4097152081/2985984 (/ 1 x))) (pow x 2)))) x)) 625/9) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -31625/216 binary64) x) (/.f64 (-.f64 #s(literal -80971385/124416 binary64) (/.f64 #s(literal 4097152081/2985984 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 625/9 binary64)) (neg.f64 x))
(- (* -1 (/ (+ 1265/72 (+ (* 64009/1728 (/ 1 x)) (/ 16194277/207360 (pow x 2)))) x)) 25/3)
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal -64009/1728 binary64) (/.f64 #s(literal 16194277/207360 binary64) x)) x) #s(literal -1265/72 binary64)) x) #s(literal 25/3 binary64))
(* (pow x 2) (+ 9/625 (* -1 (/ (- 759/25000 (* 64009/1000000 (/ 1 x))) x))))
(*.f64 (*.f64 (-.f64 #s(literal 9/625 binary64) (/.f64 (-.f64 #s(literal 759/25000 binary64) (/.f64 #s(literal 64009/1000000 binary64) x)) x)) x) x)

rewrite194.0ms (3.4%)

Memory
10.3MiB live, 442.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054258
079258
1302256
22049254
08469244
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 344
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x))
(*.f64 (*.f64 #s(literal -9/625 binary64) x) x)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #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)
(fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.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)
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64)))
#s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x)))
(*.f64 #s(literal -9/625 binary64) (*.f64 x x))
(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))
(fma.f64 #s(literal -27/15625 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16194277/1000000000 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64)))
(/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(*.f64 #s(literal -9/625 binary64) x)
#s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))
(*.f64 #s(literal 9/625 binary64) x)
(fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))
Outputs
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (*.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (neg.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64)))) #s(literal 2 binary64)) (fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64))) (neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64)))
(/.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64)))))
(/.f64 (+.f64 #s(literal 262254607552729/1000000000000000000 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))
(fma.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x #s(literal 64009/1000000 binary64))
(fma.f64 x (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) #s(literal 64009/1000000 binary64))
(-.f64 (/.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))) (/.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))
(-.f64 #s(literal 64009/1000000 binary64) (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64))) x))
(-.f64 #s(literal 64009/1000000 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64))))
(+.f64 (/.f64 #s(literal 262254607552729/1000000000000000000 binary64) (+.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))) (/.f64 #s(literal 262254607552729/1000000000000000000 binary64) (+.f64 #s(literal 4097152081/1000000000000 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))))))
(+.f64 (/.f64 #s(literal 262254607552729/1000000000000000000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64)))) (/.f64 #s(literal 262254607552729/1000000000000000000 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 2 binary64)) #s(literal 4097152081/1000000000000 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64)))))
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x) #s(literal 64009/1000000 binary64))
(+.f64 #s(literal 64009/1000000 binary64) (*.f64 (-.f64 (*.f64 #s(literal 9/625 binary64) x) #s(literal 759/25000 binary64)) x))

eval52.0ms (0.9%)

Memory
35.1MiB live, 127.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 14 501 to 1 496 computations (89.7% saved)

prune16.0ms (0.3%)

Memory
-4.1MiB live, 44.5MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New3853388
Fresh000
Picked235
Done066
Total38712399
Accuracy
100.0%
Counts
399 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.7%
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -27/15625 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))
✓55.5%
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
98.6%
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
✓98.6%
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
✓47.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))
✓47.1%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓46.3%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))
✓46.4%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
✓3.6%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
✓54.2%
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
55.7%
#s(approx (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64)))
Compiler

Compiled 575 to 291 computations (49.4% saved)

regimes19.0ms (0.3%)

Memory
-1.4MiB live, 45.3MiB allocated; 3ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 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 (+ 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))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 x #s(literal -253/1000 binary64) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
(fma.f64 x #s(literal -253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) #s(approx (/ x (+ (* -3/25 x) 253/1000)) #s(literal -25/3 binary64))))
(fma.f64 (neg.f64 x) #s(literal 253/1000 binary64) (fma.f64 (*.f64 #s(literal -3/25 binary64) x) x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 #s(literal -9/625 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 64009/1000000 (pow (* 3/25 x) 2)) (*.f64 (*.f64 #s(literal -9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 64009/1000000 binary64) (*.f64 (*.f64 #s(literal 9/625 binary64) x) x)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 x #s(literal -27/15625 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))
(-.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 (-.f64 #s(literal 64009/1000000 binary64) (pow.f64 (*.f64 #s(literal 3/25 binary64) x) #s(literal 2 binary64))) (/.f64 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
(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
6.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
5.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
99.9%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
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%1x
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes11.0ms (0.2%)

Memory
-24.2MiB live, 22.4MiB allocated; 2ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 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 (+ 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))
Outputs
#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 (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
3.0ms
x
3.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
Results
AccuracySegmentsBranch
99.0%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
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%3x
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes5.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 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 (+ 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)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
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
98.8%2(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
98.8%2(-.f64 #s(literal 1 binary64) (*.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
19.3MiB live, 19.4MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(approx (* (+ (* -3/25 x) -253/1000) x) (*.f64 #s(literal -253/1000 binary64) x)))
#s(approx (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 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 (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
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
55.7%1x
55.7%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
55.7%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
-32.7MiB live, 14.3MiB allocated; 3ms collecting garbage
Accuracy

Total -33.2b remaining (-113.3%)

Threshold costs -33.2b (-113.3%)

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

3 calls:

2.0ms
x
1.0ms
(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))))
Results
AccuracySegmentsBranch
54.2%1(*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))
54.2%1x
54.2%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)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-25.96125053496481
1.0
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-25.96125053496481
1.0
Compiler

Compiled 12 to 12 computations (0% saved)

simplify121.0ms (2.1%)

Memory
-5.6MiB live, 44.9MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046127
179127
2166127
3447127
41201127
52706127
64111127
74550127
84730127
94912127
104912127
114912127
124929127
134929127
144929127
154929127
164929127
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -20 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 (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -20 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)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
#s(approx (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -20 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 (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))))) #s(literal -20 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)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
#s(approx (+ (* (+ (* -27/15625 (pow x 3)) 16194277/1000000000) (/ x (+ (* x (- (* 9/625 x) 759/25000)) 64009/1000000))) 1) (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))

derivations746.0ms (13.1%)

Memory
44.3MiB live, 588.4MiB allocated; 129ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029117
047120
1209100
21636100
0826396
0824
01224
15624
242224
3461224
0843420
0200495
1647492
21832470
36044467
08210441
03584
19684
222682
359681
4163781
5388081
6687281
0823269
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 127 to 49 computations (61.4% saved)

preprocess33.0ms (0.6%)

Memory
21.4MiB live, 66.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 272 to 114 computations (58.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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