Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, B

Time bar (total: 10.0s)

analyze7.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 21 to 17 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
...c/correct-round.rkt:119:19: 3.0ms (63.7% of total)
ival-add: 1.0ms (21.2% of total)
ival-mult: 1.0ms (21.2% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.0s (19.5%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
...c/correct-round.rkt:119:19: 727.0ms (55.1% of total)
ival-mult: 281.0ms (21.3% of total)
ival-add: 140.0ms (10.6% of total)
ival-div: 108.0ms (8.2% of total)
ival-sub: 48.0ms (3.6% of total)
const: 12.0ms (0.9% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess267.0ms (2.7%)

Algorithm
2×egg-herbie
Rules
2328×sum5-define
1822×fnmadd-define
1668×sum4-define
1650×fnmadd-define
1598×sum5-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02765
17248
222948
364348
4172248
5400745
6755445
01619
13316
27216
311616
416616
522915
638615
785015
8235215
9734615
0824215
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
Outputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Call 2
Inputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
(* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))
(neg (* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))))
Outputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
(fma x -70711/100000 (/ (fma x 1913510371/10000000000 16316775383/10000000000) (fma x (fnmsub x -4481/100000 -99229/100000) 1)))
(* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))
(fnmsub x -70711/100000 (/ (fma x -1913510371/10000000000 16316775383/10000000000) (fnmsub x (fnmsub x -4481/100000 99229/100000) 1)))
(neg (* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))))
(fnmsub 70711/100000 x (/ (fma x -1913510371/10000000000 16316775383/10000000000) (fnmsub x (fnmsub x 4481/100000 -99229/100000) -1)))

explain191.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-0-(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
00-0-x
00-0-#s(literal 230753/100000 binary64)
00-0-#s(literal 4481/100000 binary64)
00-0-#s(literal 27061/100000 binary64)
00-0-#s(literal 70711/100000 binary64)
00-0-(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
00-0-(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
00-0-(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
00-0-(*.f64 x #s(literal 27061/100000 binary64))
00-0-(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
00-0-(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
00-0-#s(literal 99229/100000 binary64)
00-0-(*.f64 x #s(literal 4481/100000 binary64))
Results
115.0ms512×0valid
Compiler

Compiled 204 to 50 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
...c/correct-round.rkt:119:19: 38.0ms (52.1% of total)
ival-mult: 16.0ms (21.9% of total)
ival-add: 10.0ms (13.7% of total)
ival-div: 5.0ms (6.9% of total)
ival-sub: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 20 to 16 computations (20% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
▶99.9%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Compiler

Compiled 40 to 32 computations (20% saved)

simplify195.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
✓cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
✓cost-diff0
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Rules
2274×fnmadd-define
1530×fma-define
1404×*-lowering-*.f32
1404×*-lowering-*.f64
1394×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029166
158141
2107141
3173141
4294139
5467139
6774139
71473139
84236139
08178139
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
70711/100000
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
x
27061/100000
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
1
(* x (+ 99229/100000 (* x 4481/100000)))
(+ 99229/100000 (* x 4481/100000))
99229/100000
(* x 4481/100000)
4481/100000
(+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000))))))
(* x -70711/100000)
x
-70711/100000
(/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000)))))
(+ 16316775383/10000000000 (* x 1913510371/10000000000))
16316775383/10000000000
(* x 1913510371/10000000000)
1913510371/10000000000
(+ 1 (* x (- 99229/100000 (* x -4481/100000))))
1
(* x (- 99229/100000 (* x -4481/100000)))
(- 99229/100000 (* x -4481/100000))
99229/100000
(* x -4481/100000)
-4481/100000
Outputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
(+.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
70711/100000
#s(literal 70711/100000 binary64)
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(+ 230753/100000 (* x 27061/100000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
x
27061/100000
#s(literal 27061/100000 binary64)
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
1
#s(literal 1 binary64)
(* x (+ 99229/100000 (* x 4481/100000)))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(+ 99229/100000 (* x 4481/100000))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
99229/100000
#s(literal 99229/100000 binary64)
(* x 4481/100000)
(*.f64 x #s(literal 4481/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
(+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000))))))
(+.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000)))))
(/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(+ 16316775383/10000000000 (* x 1913510371/10000000000))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* x 1913510371/10000000000)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
1913510371/10000000000
#s(literal 1913510371/10000000000 binary64)
(+ 1 (* x (- 99229/100000 (* x -4481/100000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
1
#s(literal 1 binary64)
(* x (- 99229/100000 (* x -4481/100000)))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(- 99229/100000 (* x -4481/100000))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
99229/100000
#s(literal 99229/100000 binary64)
(* x -4481/100000)
(*.f64 x #s(literal -4481/100000 binary64))
-4481/100000
#s(literal -4481/100000 binary64)

localize144.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal 1913510371/10000000000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy76.0%
(/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
✓accuracy99.4%
(*.f64 x #s(literal 4481/100000 binary64))
✓accuracy99.3%
(*.f64 x #s(literal 27061/100000 binary64))
✓accuracy76.0%
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
Results
104.0ms256×0valid
Compiler

Compiled 168 to 30 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
...c/correct-round.rkt:119:19: 40.0ms (58.1% of total)
ival-mult: 15.0ms (21.8% of total)
ival-add: 8.0ms (11.6% of total)
ival-sub: 3.0ms (4.4% of total)
ival-div: 3.0ms (4.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))>
#<alt (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000))))))>
#<alt (* x -70711/100000)>
#<alt (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000)))))>
#<alt (+ 16316775383/10000000000 (* x 1913510371/10000000000))>
#<alt (* x 27061/100000)>
#<alt (* x 4481/100000)>
#<alt (* x (+ 99229/100000 (* x 4481/100000)))>
#<alt (* x -4481/100000)>
#<alt (* x 1913510371/10000000000)>
Outputs
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
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#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* 1913510371/10000000000 x))>
#<alt (+ 16316775383/10000000000 (* 1913510371/10000000000 x))>
#<alt (+ 16316775383/10000000000 (* 1913510371/10000000000 x))>
#<alt (* 1913510371/10000000000 x)>
#<alt (* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))>
#<alt (* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))>
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#<alt (* 4481/100000 x)>
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#<alt (* 4481/100000 x)>
#<alt (* 99229/100000 x)>
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#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* x (+ 99229/100000 (* 4481/100000 x)))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
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#<alt (* -4481/100000 x)>
#<alt (* -4481/100000 x)>
#<alt (* -4481/100000 x)>
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#<alt (* 1913510371/10000000000 x)>
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#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* x (+ 99229/100000 (* x 4481/100000)))
1.0ms
x
@-inf
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
1.0ms
x
@inf
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
0.0ms
x
@0
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
0.0ms
x
@inf
(+ 230753/100000 (* x 27061/100000))

rewrite401.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
3150×*-lowering-*.f32
3150×*-lowering-*.f64
2992×/-lowering-/.f32
2992×/-lowering-/.f64
2192×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029116
117198
2174298
0833898
Stop Event
1×iter limit
1×node limit
Counts
13 → 284
Calls
Call 1
Inputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
(+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000))))))
(* x -70711/100000)
(/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (- 99229/100000 (* x -4481/100000)))))
(+ 16316775383/10000000000 (* x 1913510371/10000000000))
(* x 27061/100000)
(* x 4481/100000)
(* x (+ 99229/100000 (* x 4481/100000)))
(* x -4481/100000)
(* x 1913510371/10000000000)
Outputs
(+.f64 (*.f64 #s(literal 70711/100000 binary64) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #s(literal 70711/100000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64)))
(fma.f64 #s(literal 70711/100000 binary64) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 #s(literal 70711/100000 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #s(literal 70711/100000 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 70711/100000 binary64)))
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))))
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x))) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))) (*.f64 x (*.f64 x x))) #s(literal 70711/100000 binary64)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)))) (neg.f64 (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))) (*.f64 x (*.f64 x x))) #s(literal 70711/100000 binary64))) (neg.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))))))
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(*.f64 #s(literal 1913510371/10000000000 binary64) x)

simplify212.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
2416×*-lowering-*.f32
2416×*-lowering-*.f64
1660×+-lowering-+.f64
1660×+-lowering-+.f32
1412×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0213942
1640883
21636859
34310849
08541849
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
16316775383/10000000000
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(/ 1913510371/448100000 x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)
(/ 1913510371/448100000 x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
16316775383/10000000000
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(* 1913510371/10000000000 x)
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(* 1913510371/10000000000 x)
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 99229/100000 x)
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* -4481/100000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
Outputs
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -30191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 #s(literal -30191289437/10000000000 binary64) (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(*.f64 x (+.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x)))))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -20191289437/10000000000 binary64)))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64))))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1900161040244073/1000000000000000 binary64) (*.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64)))) #s(literal -20191289437/10000000000 binary64))))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (-.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(+ 230753/100000 (* 27061/100000 x))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -1427746267379707/1000000000000000 binary64)))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))) #s(literal -1427746267379707/1000000000000000 binary64))))
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x) (/.f64 #s(literal 31633246848801948256268/1259939806776003125 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 335267464412236892/281173802003125 binary64) (/.f64 #s(literal 31633246848801948256268/1259939806776003125 binary64) x)) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 99229/100000 x)
(*.f64 x #s(literal 99229/100000 binary64))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* x (+ 99229/100000 (* 4481/100000 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* 4481/100000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4481/100000 binary64))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (+.f64 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 binary64)))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* -4481/100000 x)
(*.f64 x #s(literal -4481/100000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))

eval103.0ms (1%)

Compiler

Compiled 15630 to 1430 computations (90.9% saved)

prune50.0ms (0.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New42614440
Fresh000
Picked022
Done000
Total42616442
Accuracy
100.0%
Counts
442 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.0%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))))
75.9%
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
75.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))))
✓99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
▶99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
▶97.5%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
52.2%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
50.7%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
57.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
51.5%
(*.f64 x #s(literal -70711/100000 binary64))
▶51.1%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
▶50.2%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
✓99.9%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
98.0%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
51.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
▶50.0%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 700 to 368 computations (47.4% saved)

simplify181.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
✓cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x)
✓cost-diff0
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
✓cost-diff0
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
✓cost-diff0
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
✓cost-diff0
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
✓cost-diff0
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))
✓cost-diff128
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
Rules
2060×fma-lowering-fma.f32
2060×fma-lowering-fma.f64
1832×sum5-define
1732×fnmsub-define
1500×sum4-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
034210
164196
2123194
3241194
4421193
5632193
61203192
72566192
85678192
08124192
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x -70711/100000) (/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))))
(* x -70711/100000)
x
-70711/100000
(/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000))))
1
(/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
(* x (+ 99229/100000 (* x 4481/100000)))
(+ 99229/100000 (* x 4481/100000))
99229/100000
(* x 4481/100000)
4481/100000
(+ 16316775383/10000000000 (* x 1913510371/10000000000))
16316775383/10000000000
(* x 1913510371/10000000000)
1913510371/10000000000
16316775383/10000000000
(+ (* x -70711/100000) 16316775383/10000000000)
(* x -70711/100000)
x
-70711/100000
16316775383/10000000000
(* 70711/100000 (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x))
70711/100000
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
27061/4481
(/ -1651231776/20079361 x)
-1651231776/20079361
x
(* 70711/100000 (- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x))
70711/100000
(- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x)
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
27061/4481
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361)
(/ 151724043800704/89975616641 x)
151724043800704/89975616641
x
-1651231776/20079361
Outputs
(+ (* x -70711/100000) (/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal -16316775383/10000000000 binary64) (*.f64 x #s(literal -1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000))))
(/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
1
#s(literal 1 binary64)
(/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(* x (+ 99229/100000 (* x 4481/100000)))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(+ 99229/100000 (* x 4481/100000))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
99229/100000
#s(literal 99229/100000 binary64)
(* x 4481/100000)
(*.f64 x #s(literal 4481/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
(+ 16316775383/10000000000 (* x 1913510371/10000000000))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* x 1913510371/10000000000)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
1913510371/10000000000
#s(literal 1913510371/10000000000 binary64)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ (* x -70711/100000) 16316775383/10000000000)
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* 70711/100000 (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
70711/100000
#s(literal 70711/100000 binary64)
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x)
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
27061/4481
#s(literal 27061/4481 binary64)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)
x
(* 70711/100000 (- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 #s(literal -3648757816023/62748003125 binary64) (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x)) x)) x))
70711/100000
#s(literal 70711/100000 binary64)
(- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x)
(-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x) x)
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x))
27061/4481
#s(literal 27061/4481 binary64)
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(+ (/ 151724043800704/89975616641 x) -1651231776/20079361)
(+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x))
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
151724043800704/89975616641
#s(literal 151724043800704/89975616641 binary64)
x
-1651231776/20079361
#s(literal -1651231776/20079361 binary64)

localize166.0ms (1.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
✓accuracy99.7%
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
✓accuracy99.6%
(/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)
✓accuracy99.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
✓accuracy100.0%
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
✓accuracy99.7%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
✓accuracy99.4%
(/.f64 #s(literal -1651231776/20079361 binary64) x)
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal 1913510371/10000000000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal 4481/100000 binary64))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))
✓accuracy75.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))
Results
117.0ms256×0valid
Compiler

Compiled 216 to 35 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
...c/correct-round.rkt:119:19: 33.0ms (44.2% of total)
ival-mult: 14.0ms (18.8% of total)
ival-div: 12.0ms (16.1% of total)
ival-add: 12.0ms (16.1% of total)
ival-sub: 3.0ms (4% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts
18 → 216
Calls
Call 1
Inputs
#<alt (+ (* x -70711/100000) (/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))))>
#<alt (/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000))))>
#<alt (* x -70711/100000)>
#<alt (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))>
#<alt (+ (* x -70711/100000) 16316775383/10000000000)>
#<alt (* 70711/100000 (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x))>
#<alt (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)>
#<alt (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)>
#<alt (+ 27061/4481 (/ -1651231776/20079361 x))>
#<alt (* 70711/100000 (- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x))>
#<alt (- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x)>
#<alt (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)>
#<alt (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))>
#<alt (* x 4481/100000)>
#<alt (* x 1913510371/10000000000)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)>
#<alt (/ 151724043800704/89975616641 x)>
Outputs
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt 10000000000/16316775383>
#<alt (+ 10000000000/16316775383 (* 2019128943700000/3765144869953399 x))>
#<alt (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x))))>
#<alt (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x (- (* 26868684797568396800000/6467176431342478479110761 x) 992893270668800000/28026402392785699337)))))>
#<alt (* 448100000/1913510371 x)>
#<alt (* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))>
#<alt (* x (- (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))) (/ 992893270668800000/45201912380424661 (pow x 2))))>
#<alt (* x (- (+ 448100000/1913510371 (+ (* 165123177600000/51781504149631 (/ 1 x)) (* 229113100886637606400000/1223208950926671751321 (/ 1 (pow x 3))))) (/ 992893270668800000/45201912380424661 (pow x 2))))>
#<alt (* 448100000/1913510371 x)>
#<alt (* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)) 448100000/1913510371)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 165123177600000/51781504149631 (* -1 (/ (- 992893270668800000/45201912380424661 (* 229113100886637606400000/1223208950926671751321 (/ 1 x))) x))) x)) 448100000/1913510371)))>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -70711/100000 x))>
#<alt (+ 16316775383/10000000000 (* -70711/100000 x))>
#<alt (+ 16316775383/10000000000 (* -70711/100000 x))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))>
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))>
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))>
#<alt (/ -3648757816023/62748003125 (pow x 2))>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))>
#<alt (/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))>
#<alt (/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (/ -1651231776/20079361 (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (/ -1651231776/20079361 (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ 27061/4481 x)>
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#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt (/ (- (* 27061/4481 x) 1651231776/20079361) x)>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (/ 335267464412236892/281173802003125 (pow x 3))>
#<alt (/ (+ 335267464412236892/281173802003125 (* -3648757816023/62748003125 x)) (pow x 3))>
#<alt (/ (+ 335267464412236892/281173802003125 (* x (- (* 1913510371/448100000 x) 3648757816023/62748003125))) (pow x 3))>
#<alt (/ (+ 335267464412236892/281173802003125 (* x (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125))) (pow x 3))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (/ 151724043800704/89975616641 (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (/ 151724043800704/89975616641 (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (/ 151724043800704/89975616641 (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))>
#<alt (/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
#<alt (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))>
#<alt (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))>
#<alt 27061/4481>
#<alt (- 27061/4481 (* 1651231776/20079361 (/ 1 x)))>
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#<alt (+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 4481/100000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (* 1913510371/10000000000 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ 151724043800704/89975616641 (pow x 2))>
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#<alt (/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))>
#<alt (/ -1651231776/20079361 x)>
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)>
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)>
#<alt (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)>
#<alt (/ -1651231776/20079361 x)>
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#<alt (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))>
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#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
#<alt (/ 151724043800704/89975616641 x)>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
0.0ms
x
@0
(* 70711/100000 (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x))
0.0ms
x
@0
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
0.0ms
x
@-inf
(* 70711/100000 (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x))
0.0ms
x
@0
(/ -1651231776/20079361 x)

rewrite375.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
3794×*-lowering-*.f32
3794×*-lowering-*.f64
2700×/-lowering-/.f32
2700×/-lowering-/.f64
1978×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034156
1228145
22210145
08485145
Stop Event
1×iter limit
1×node limit
Counts
18 → 344
Calls
Call 1
Inputs
(+ (* x -70711/100000) (/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))))
(/ 1 (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000))))
(* x -70711/100000)
(/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 16316775383/10000000000 (* x 1913510371/10000000000)))
(+ (* x -70711/100000) 16316775383/10000000000)
(* 70711/100000 (- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x))
(- (/ (+ 27061/4481 (/ -1651231776/20079361 x)) x) x)
(/ (+ 27061/4481 (/ -1651231776/20079361 x)) x)
(+ 27061/4481 (/ -1651231776/20079361 x))
(* 70711/100000 (- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x))
(- (/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x) x)
(/ (+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)) x)
(+ 27061/4481 (/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x))
(* x 4481/100000)
(* x 1913510371/10000000000)
(/ -1651231776/20079361 x)
(/ (+ (/ 151724043800704/89975616641 x) -1651231776/20079361) x)
(/ 151724043800704/89975616641 x)
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(+.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))) (/.f64 (/.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) #s(literal -1/2 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) #s(literal 1 binary64)))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) (*.f64 x #s(literal -70711/100000 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64))))
(/.f64 #s(literal -151724043800704/89975616641 binary64) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x #s(literal 151724043800704/89975616641 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x))
(*.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -151724043800704/89975616641 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 151724043800704/89975616641 binary64))

simplify351.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
2132×*-lowering-*.f32
2132×*-lowering-*.f64
1866×fma-lowering-fma.f32
1866×fma-lowering-fma.f64
1846×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02571530
17491455
219971340
353501323
080981323
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(/ 1913510371/448100000 x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)
(/ 1913510371/448100000 x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
10000000000/16316775383
(+ 10000000000/16316775383 (* 2019128943700000/3765144869953399 x))
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x))))
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x (- (* 26868684797568396800000/6467176431342478479110761 x) 992893270668800000/28026402392785699337)))))
(* 448100000/1913510371 x)
(* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))
(* x (- (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))) (/ 992893270668800000/45201912380424661 (pow x 2))))
(* x (- (+ 448100000/1913510371 (+ (* 165123177600000/51781504149631 (/ 1 x)) (* 229113100886637606400000/1223208950926671751321 (/ 1 (pow x 3))))) (/ 992893270668800000/45201912380424661 (pow x 2))))
(* 448100000/1913510371 x)
(* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)) 448100000/1913510371)))
(* -1 (* x (- (* -1 (/ (+ 165123177600000/51781504149631 (* -1 (/ (- 992893270668800000/45201912380424661 (* 229113100886637606400000/1223208950926671751321 (/ 1 x))) x))) x)) 448100000/1913510371)))
16316775383/10000000000
(+ 16316775383/10000000000 (* -70711/100000 x))
(+ 16316775383/10000000000 (* -70711/100000 x))
(+ 16316775383/10000000000 (* -70711/100000 x))
(* -70711/100000 x)
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
(/ -3648757816023/62748003125 (pow x 2))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))
(/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))
(/ (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361) (pow x 2))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ -1651231776/20079361 (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ (- (* 27061/4481 x) 1651231776/20079361) (pow x 2))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/ -1651231776/20079361 x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
(/ (- (* 27061/4481 x) 1651231776/20079361) x)
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(/ 335267464412236892/281173802003125 (pow x 3))
(/ (+ 335267464412236892/281173802003125 (* -3648757816023/62748003125 x)) (pow x 3))
(/ (+ 335267464412236892/281173802003125 (* x (- (* 1913510371/448100000 x) 3648757816023/62748003125))) (pow x 3))
(/ (+ 335267464412236892/281173802003125 (* x (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125))) (pow x 3))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(/ 151724043800704/89975616641 (pow x 3))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* x (+ 27061/4481 (* -1 (pow x 2)))) 1651231776/20079361))) (pow x 3))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(/ 151724043800704/89975616641 (pow x 3))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/ 151724043800704/89975616641 (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
27061/4481
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 4481/100000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(* 1913510371/10000000000 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ -1651231776/20079361 x)
(/ 151724043800704/89975616641 (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/ -1651231776/20079361 x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/ -1651231776/20079361 x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
(/ 151724043800704/89975616641 x)
Outputs
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) #s(literal -70711/100000 binary64))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal -1913510371/448100000 binary64) x))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(-.f64 (*.f64 (+.f64 #s(literal 70711/100000 binary64) (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1913510371/448100000 binary64) x))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -1427746267379707/1000000000000000 binary64)))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))) #s(literal -1427746267379707/1000000000000000 binary64))))
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)
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(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
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(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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(/ 151724043800704/89975616641 (pow x 3))
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(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 3))
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(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)) x)
(/ 151724043800704/89975616641 (pow x 2))
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(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* x (- (* 27061/4481 x) 1651231776/20079361))) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x (+.f64 #s(literal -1651231776/20079361 binary64) (*.f64 x #s(literal 27061/4481 binary64))))) (*.f64 x x))
27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
(- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x)))
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27061/4481
#s(literal 27061/4481 binary64)
(- 27061/4481 (* 1651231776/20079361 (/ 1 x)))
(+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))
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(+ 27061/4481 (* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x)))
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(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ -1651231776/20079361 x)
(/.f64 #s(literal -1651231776/20079361 binary64) x)
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(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
(/ (+ 151724043800704/89975616641 (* -1651231776/20079361 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (*.f64 x #s(literal -1651231776/20079361 binary64))) (*.f64 x x))
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(/.f64 #s(literal -1651231776/20079361 binary64) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ -1651231776/20079361 x)
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(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(* -1 (/ (- 1651231776/20079361 (* 151724043800704/89975616641 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1651231776/20079361 binary64) (/.f64 #s(literal 151724043800704/89975616641 binary64) x)) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)
(/ 151724043800704/89975616641 x)
(/.f64 #s(literal 151724043800704/89975616641 binary64) x)

eval129.0ms (1.3%)

Compiler

Compiled 13504 to 1612 computations (88.1% saved)

prune105.0ms (1.1%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New56410574
Fresh279
Picked145
Done022
Total56723590
Accuracy
100.0%
Counts
590 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) x)) x)
72.8%
(/.f64 (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
65.0%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))))
▶63.0%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal -1153775504107313/1000000000000000 binary64)))))
75.9%
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
26.1%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)))
72.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))))
✓99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
✓99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
58.1%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 448100000/1913510371 binary64)) #s(literal 165123177600000/51781504149631 binary64))))
▶97.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
▶97.7%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
51.8%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))))
✓97.5%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
52.2%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
50.7%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
57.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
▶72.7%
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
▶51.5%
(*.f64 x #s(literal -70711/100000 binary64))
✓51.1%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
✓99.9%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
51.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
✓50.0%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 826 to 490 computations (40.7% saved)

simplify207.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64))
✓cost-diff0
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64))
✓cost-diff128
(+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal -1153775504107313/1000000000000000 binary64))))
✓cost-diff128
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal -1153775504107313/1000000000000000 binary64)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
✓cost-diff0
(+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))
✓cost-diff128
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64))))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
Rules
2814×sum3-define
2124×fma-lowering-fma.f32
2124×fma-lowering-fma.f64
1984×fmm-def
1322×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037199
186187
2164184
3295182
4467180
5784180
61714180
73769180
86110180
97909180
08452180
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))))
(* x -70711/100000)
x
-70711/100000
(/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))))
1
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))
10000000000/16316775383
(* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))
(+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))
2019128943700000/3765144869953399
(* x -992893270668800000/28026402392785699337)
-992893270668800000/28026402392785699337
(* x -70711/100000)
x
-70711/100000
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))))
(* x -70711/100000)
x
-70711/100000
(/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399)))
1
(+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))
10000000000/16316775383
(* x 2019128943700000/3765144869953399)
2019128943700000/3765144869953399
(* (+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000) (/ 1 (+ (* x -70711/100000) -16316775383/10000000000)))
(+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000)
(* (* x x) 5000045521/10000000000)
(* x x)
x
5000045521/10000000000
-266237158899274796689/100000000000000000000
(/ 1 (+ (* x -70711/100000) -16316775383/10000000000))
1
(+ (* x -70711/100000) -16316775383/10000000000)
(* x -70711/100000)
-70711/100000
-16316775383/10000000000
(/ (+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))))
(+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000)
(* (* x (* x x)) -353558218835431/1000000000000000)
(* x (* x x))
x
(* x x)
-353558218835431/1000000000000000
4344131920367546379167405106887/1000000000000000000000000000000
(+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000)))
(* (* x x) 5000045521/10000000000)
5000045521/10000000000
(- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))
266237158899274796689/100000000000000000000
(* x -1153775504107313/1000000000000000)
-1153775504107313/1000000000000000
Outputs
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))
1
#s(literal 1 binary64)
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))
10000000000/16316775383
#s(literal 10000000000/16316775383 binary64)
(* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))
(*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))
(+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))
(+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))
2019128943700000/3765144869953399
#s(literal 2019128943700000/3765144869953399 binary64)
(* x -992893270668800000/28026402392785699337)
(*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))
-992893270668800000/28026402392785699337
#s(literal -992893270668800000/28026402392785699337 binary64)
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64))))
1
#s(literal 1 binary64)
(+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))
10000000000/16316775383
#s(literal 10000000000/16316775383 binary64)
(* x 2019128943700000/3765144869953399)
(*.f64 x #s(literal 2019128943700000/3765144869953399 binary64))
2019128943700000/3765144869953399
#s(literal 2019128943700000/3765144869953399 binary64)
(* (+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000) (/ 1 (+ (* x -70711/100000) -16316775383/10000000000)))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000)
(+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64))
(* (* x x) 5000045521/10000000000)
(*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64)))
(* x x)
(*.f64 x x)
x
5000045521/10000000000
#s(literal 5000045521/10000000000 binary64)
-266237158899274796689/100000000000000000000
#s(literal -266237158899274796689/100000000000000000000 binary64)
(/ 1 (+ (* x -70711/100000) -16316775383/10000000000))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
1
#s(literal 1 binary64)
(+ (* x -70711/100000) -16316775383/10000000000)
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
-70711/100000
#s(literal -70711/100000 binary64)
-16316775383/10000000000
#s(literal -16316775383/10000000000 binary64)
(/ (+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))))
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -353558218835431/1000000000000000 binary64)))) #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 5000045521/10000000000 binary64)) #s(literal 1153775504107313/1000000000000000 binary64)))))
(+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000)
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -353558218835431/1000000000000000 binary64)))) #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64))
(* (* x (* x x)) -353558218835431/1000000000000000)
(*.f64 x (*.f64 x (*.f64 x #s(literal -353558218835431/1000000000000000 binary64))))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
-353558218835431/1000000000000000
#s(literal -353558218835431/1000000000000000 binary64)
4344131920367546379167405106887/1000000000000000000000000000000
#s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64)
(+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000)))
(+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 5000045521/10000000000 binary64)) #s(literal 1153775504107313/1000000000000000 binary64))))
(* (* x x) 5000045521/10000000000)
(*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64)))
5000045521/10000000000
#s(literal 5000045521/10000000000 binary64)
(- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))
(+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 1153775504107313/1000000000000000 binary64)))
266237158899274796689/100000000000000000000
#s(literal 266237158899274796689/100000000000000000000 binary64)
(* x -1153775504107313/1000000000000000)
(*.f64 x #s(literal -1153775504107313/1000000000000000 binary64))
-1153775504107313/1000000000000000
#s(literal -1153775504107313/1000000000000000 binary64)

localize280.0ms (2.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.5%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
✓accuracy66.8%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal -1153775504107313/1000000000000000 binary64)))))
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.4%
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
✓accuracy76.0%
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.6%
(*.f64 x #s(literal 2019128943700000/3765144869953399 binary64))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64))))
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.7%
(*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))
✓accuracy98.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))
Results
163.0ms256×0valid
Compiler

Compiled 226 to 38 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
...c/correct-round.rkt:119:19: 53.0ms (57.4% of total)
ival-mult: 19.0ms (20.6% of total)
ival-add: 11.0ms (11.9% of total)
ival-div: 8.0ms (8.7% of total)
ival-sub: 1.0ms (1.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.3%)

Counts
20 → 240
Calls
Call 1
Inputs
#<alt (+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))))>
#<alt (* x -70711/100000)>
#<alt (/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))))>
#<alt (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))>
#<alt (+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))))>
#<alt (/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399)))>
#<alt (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))>
#<alt (* (+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000) (/ 1 (+ (* x -70711/100000) -16316775383/10000000000)))>
#<alt (+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000)>
#<alt (* (* x x) 5000045521/10000000000)>
#<alt (* x x)>
#<alt (/ (+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))))>
#<alt (+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000)))>
#<alt (+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000)>
#<alt (* (* x (* x x)) -353558218835431/1000000000000000)>
#<alt (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))>
#<alt (* x -992893270668800000/28026402392785699337)>
#<alt (* x 2019128943700000/3765144869953399)>
#<alt (/ 1 (+ (* x -70711/100000) -16316775383/10000000000))>
#<alt (* x (* x x))>
Outputs
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -669966440716815338483429727171768083/532469470090000000000000000000000000 x))) 2134856267379707/1000000000000000)))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))>
#<alt (* x (- (* -1 (/ (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x))) (pow x 3))) 70711/100000))>
#<alt (* x (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) (pow x 4))) (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))>
#<alt (* -70711/100000 x)>
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Calls

60 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))))
1.0ms
x
@inf
(/ (+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))))
1.0ms
x
@inf
(* (+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000) (/ 1 (+ (* x -70711/100000) -16316775383/10000000000)))
0.0ms
x
@0
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))))
0.0ms
x
@inf
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))))

rewrite448.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3146×fma-lowering-fma.f32
3146×fma-lowering-fma.f64
2280×*-lowering-*.f32
2280×*-lowering-*.f64
1962×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037133
1237109
22151108
08590108
Stop Event
1×iter limit
1×node limit
Counts
20 → 568
Calls
Call 1
Inputs
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))))
(* x -70711/100000)
(/ 1 (+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))))
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337))))
(+ (* x -70711/100000) (/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))))
(/ 1 (+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399)))
(+ 10000000000/16316775383 (* x 2019128943700000/3765144869953399))
(* (+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000) (/ 1 (+ (* x -70711/100000) -16316775383/10000000000)))
(+ (* (* x x) 5000045521/10000000000) -266237158899274796689/100000000000000000000)
(* (* x x) 5000045521/10000000000)
(* x x)
(/ (+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000) (+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000))))
(+ (* (* x x) 5000045521/10000000000) (- 266237158899274796689/100000000000000000000 (* x -1153775504107313/1000000000000000)))
(+ (* (* x (* x x)) -353558218835431/1000000000000000) 4344131920367546379167405106887/1000000000000000000000000000000)
(* (* x (* x x)) -353558218835431/1000000000000000)
(* x (+ 2019128943700000/3765144869953399 (* x -992893270668800000/28026402392785699337)))
(* x -992893270668800000/28026402392785699337)
(* x 2019128943700000/3765144869953399)
(/ 1 (+ (* x -70711/100000) -16316775383/10000000000))
(* x (* x x))
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) #s(literal -1/2 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1000000000000000000000000000000/4344131920367546379167405106887 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))))) (+.f64 #s(literal 100000000000000000000/266237158899274796689 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))) #s(literal 10000000000/16316775383 binary64)))) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 100000000000000000000/266237158899274796689 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))) (-.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (*.f64 x #s(literal -70711/100000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))))) (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 (*.f64 x #s(literal -70711/100000 binary64)) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (*.f64 (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64))) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))))
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(/.f64 (*.f64 x (-.f64 #s(literal 4076881691287077769690000000000/14176315891736397867828431653201 binary64) (*.f64 (*.f64 x x) #s(literal 985837046939386938399293440000000000/785479231082343973220396551656162239569 binary64)))) (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 #s(literal 992893270668800000/28026402392785699337 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 8231749822918346830573921576453000000000000000/53375883054610143327462349602156691485399180199 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -978830969882119206055625013732596252672000000000000000/22014157001489676391119573310690028278110031572641798465753 binary64))) x) (+.f64 #s(literal 4076881691287077769690000000000/14176315891736397867828431653201 binary64) (*.f64 (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)) (-.f64 (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)) #s(literal 2019128943700000/3765144869953399 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4076881691287077769690000000000/14176315891736397867828431653201 binary64) (*.f64 (*.f64 x x) #s(literal 985837046939386938399293440000000000/785479231082343973220396551656162239569 binary64))) x) (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 #s(literal 992893270668800000/28026402392785699337 binary64) x)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4076881691287077769690000000000/14176315891736397867828431653201 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))) (*.f64 x (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)) (*.f64 x (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 8231749822918346830573921576453000000000000000/53375883054610143327462349602156691485399180199 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -978830969882119206055625013732596252672000000000000000/22014157001489676391119573310690028278110031572641798465753 binary64))))) (neg.f64 (+.f64 #s(literal 4076881691287077769690000000000/14176315891736397867828431653201 binary64) (*.f64 (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)) (-.f64 (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)) #s(literal 2019128943700000/3765144869953399 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 4076881691287077769690000000000/14176315891736397867828431653201 binary64) (*.f64 (*.f64 x x) #s(literal 985837046939386938399293440000000000/785479231082343973220396551656162239569 binary64))))) (neg.f64 (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 #s(literal 992893270668800000/28026402392785699337 binary64) x))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4076881691287077769690000000000/14176315891736397867828431653201 binary64) (*.f64 (*.f64 x x) #s(literal 985837046939386938399293440000000000/785479231082343973220396551656162239569 binary64))) x)) (neg.f64 (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 #s(literal 992893270668800000/28026402392785699337 binary64) x))))
(*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))))
(*.f64 (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))) x)
(*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64))
(*.f64 #s(literal -992893270668800000/28026402392785699337 binary64) x)
(*.f64 x #s(literal 2019128943700000/3765144869953399 binary64))
(*.f64 #s(literal 2019128943700000/3765144869953399 binary64) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))))
(pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal -1153775504107313/1000000000000000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal -1153775504107313/1000000000000000 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64))) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify349.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
2910×*-lowering-*.f32
2910×*-lowering-*.f64
2104×fma-lowering-fma.f32
2104×fma-lowering-fma.f64
1928×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02861549
18591466
223521431
363201425
084191425
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -669966440716815338483429727171768083/532469470090000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* -1 (* x (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))
(* x (- (* -1 (/ (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x))) (pow x 3))) 70711/100000))
(* x (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) (pow x 4))) (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))
(* -70711/100000 x)
(* -1 (* x (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))
(* -1 (* x (+ 70711/100000 (+ (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))) (/ 130580631165380741444668933732331557/305609484551209950903780966400000 (pow x 4))))))
(* -1 (* x (+ 70711/100000 (* -1 (/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) x)) 28026402392785699337/992893270668800000) (pow x 3))))))
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
16316775383/10000000000
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -669966440716815338483429727171768083/532469470090000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(/ -28026402392785699337/992893270668800000 (pow x 2))
(* -1 (/ (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) x)) 28026402392785699337/992893270668800000) (pow x 2))
(/ (- (* -1 (/ (+ 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (* 3262687589012009293727285379817156011549752802515786255001283547597/28953118684773432430437344662483782571397532520344557977600000 (/ 1 x))) (pow x 2))) (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x)))) (pow x 2))
(/ -28026402392785699337/992893270668800000 (pow x 2))
(* -1 (/ (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) x)) 28026402392785699337/992893270668800000) (pow x 2))
(/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (+ (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x)) (/ 3262687589012009293727285379817156011549752802515786255001283547597/28953118684773432430437344662483782571397532520344557977600000 (pow x 2)))) x)) 28026402392785699337/992893270668800000) (pow x 2))
10000000000/16316775383
(+ 10000000000/16316775383 (* 2019128943700000/3765144869953399 x))
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x))))
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x))))
(* -992893270668800000/28026402392785699337 (pow x 2))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (+ (/ 10000000000/16316775383 (pow x 2)) (* 2019128943700000/3765144869953399 (/ 1 x))) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (+ (/ 10000000000/16316775383 (pow x 2)) (* 2019128943700000/3765144869953399 (/ 1 x))) 992893270668800000/28026402392785699337))
(* -992893270668800000/28026402392785699337 (pow x 2))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (+ (/ 10000000000/16316775383 (pow x 2)) (* 2019128943700000/3765144869953399 (/ 1 x))) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (+ (/ 10000000000/16316775383 (pow x 2)) (* 2019128943700000/3765144869953399 (/ 1 x))) 992893270668800000/28026402392785699337))
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 28828038127260055617254959/23075300000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 28828038127260055617254959/23075300000000000000000000 (* -582075261728379222736712568592568083/532469470090000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 3765144869953399/2019128943700000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 3765144869953399/2019128943700000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 868818474176356679447/407688169128707776969 (pow x 3)))))
(* x (- (+ (* 3765144869953399/2019128943700000 (/ 1 (pow x 2))) (* 20048246937161683285243359100000/8231749822918346830573921576453 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 868818474176356679447/407688169128707776969 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 3765144869953399/2019128943700000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 868818474176356679447/407688169128707776969 (pow x 3))) (* 3765144869953399/2019128943700000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 20048246937161683285243359100000/8231749822918346830573921576453 (/ 1 x)) 868818474176356679447/407688169128707776969) (pow x 3)))) (* 3765144869953399/2019128943700000 (/ 1 (pow x 2))))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 28828038127260055617254959/23075300000000000000000000 x) 1427746267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 28828038127260055617254959/23075300000000000000000000 (* -582075261728379222736712568592568083/532469470090000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(/ 3765144869953399/2019128943700000 x)
(/ (- 3765144869953399/2019128943700000 (* 868818474176356679447/407688169128707776969 (/ 1 x))) x)
(/ (- (+ 3765144869953399/2019128943700000 (/ 20048246937161683285243359100000/8231749822918346830573921576453 (pow x 2))) (* 868818474176356679447/407688169128707776969 (/ 1 x))) x)
(/ (- (+ 3765144869953399/2019128943700000 (/ 20048246937161683285243359100000/8231749822918346830573921576453 (pow x 2))) (+ (* 868818474176356679447/407688169128707776969 (/ 1 x)) (* 462619312549086990311976084240230000000000/166209643247517836873669651374301846826961 (/ 1 (pow x 3))))) x)
(/ 3765144869953399/2019128943700000 x)
(* -1 (/ (- (* 868818474176356679447/407688169128707776969 (/ 1 x)) 3765144869953399/2019128943700000) x))
(* -1 (/ (- (* -1 (/ (- (* 20048246937161683285243359100000/8231749822918346830573921576453 (/ 1 x)) 868818474176356679447/407688169128707776969) x)) 3765144869953399/2019128943700000) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 462619312549086990311976084240230000000000/166209643247517836873669651374301846826961 (/ 1 x)) 20048246937161683285243359100000/8231749822918346830573921576453) x)) 868818474176356679447/407688169128707776969) x)) 3765144869953399/2019128943700000) x))
10000000000/16316775383
(+ 10000000000/16316775383 (* 2019128943700000/3765144869953399 x))
(+ 10000000000/16316775383 (* 2019128943700000/3765144869953399 x))
(+ 10000000000/16316775383 (* 2019128943700000/3765144869953399 x))
(* 2019128943700000/3765144869953399 x)
(* x (+ 2019128943700000/3765144869953399 (* 10000000000/16316775383 (/ 1 x))))
(* x (+ 2019128943700000/3765144869953399 (* 10000000000/16316775383 (/ 1 x))))
(* x (+ 2019128943700000/3765144869953399 (* 10000000000/16316775383 (/ 1 x))))
(* 2019128943700000/3765144869953399 x)
(* x (+ 2019128943700000/3765144869953399 (* 10000000000/16316775383 (/ 1 x))))
(* x (+ 2019128943700000/3765144869953399 (* 10000000000/16316775383 (/ 1 x))))
(* x (+ 2019128943700000/3765144869953399 (* 10000000000/16316775383 (/ 1 x))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -70711/100000 x))
(+ 16316775383/10000000000 (* -70711/100000 x))
(+ 16316775383/10000000000 (* -70711/100000 x))
(* -70711/100000 x)
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
-266237158899274796689/100000000000000000000
(- (* 5000045521/10000000000 (pow x 2)) 266237158899274796689/100000000000000000000)
(- (* 5000045521/10000000000 (pow x 2)) 266237158899274796689/100000000000000000000)
(- (* 5000045521/10000000000 (pow x 2)) 266237158899274796689/100000000000000000000)
(* 5000045521/10000000000 (pow x 2))
(* (pow x 2) (- 5000045521/10000000000 (* 266237158899274796689/100000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5000045521/10000000000 (* 266237158899274796689/100000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5000045521/10000000000 (* 266237158899274796689/100000000000000000000 (/ 1 (pow x 2)))))
(* 5000045521/10000000000 (pow x 2))
(* (pow x 2) (- 5000045521/10000000000 (* 266237158899274796689/100000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5000045521/10000000000 (* 266237158899274796689/100000000000000000000 (/ 1 (pow x 2)))))
(* (pow x 2) (- 5000045521/10000000000 (* 266237158899274796689/100000000000000000000 (/ 1 (pow x 2)))))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(* 5000045521/10000000000 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
16316775383/10000000000
(+ 16316775383/10000000000 (* -70711/100000 x))
(+ 16316775383/10000000000 (* -70711/100000 x))
(+ 16316775383/10000000000 (* -70711/100000 x))
(* -70711/100000 x)
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 70711/100000))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 70711/100000 (* 16316775383/10000000000 (/ 1 x)))))
266237158899274796689/100000000000000000000
(+ 266237158899274796689/100000000000000000000 (* 1153775504107313/1000000000000000 x))
(+ 266237158899274796689/100000000000000000000 (* x (+ 1153775504107313/1000000000000000 (* 5000045521/10000000000 x))))
(+ 266237158899274796689/100000000000000000000 (* x (+ 1153775504107313/1000000000000000 (* 5000045521/10000000000 x))))
(* 5000045521/10000000000 (pow x 2))
(* (pow x 2) (+ 5000045521/10000000000 (* 1153775504107313/1000000000000000 (/ 1 x))))
(* (pow x 2) (+ 5000045521/10000000000 (+ (* 1153775504107313/1000000000000000 (/ 1 x)) (/ 266237158899274796689/100000000000000000000 (pow x 2)))))
(* (pow x 2) (+ 5000045521/10000000000 (+ (* 1153775504107313/1000000000000000 (/ 1 x)) (/ 266237158899274796689/100000000000000000000 (pow x 2)))))
(* 5000045521/10000000000 (pow x 2))
(* (pow x 2) (+ 5000045521/10000000000 (* 1153775504107313/1000000000000000 (/ 1 x))))
(* (pow x 2) (+ 5000045521/10000000000 (+ (* 1153775504107313/1000000000000000 (/ 1 x)) (/ 266237158899274796689/100000000000000000000 (pow x 2)))))
(* (pow x 2) (+ 5000045521/10000000000 (+ (* 1153775504107313/1000000000000000 (/ 1 x)) (/ 266237158899274796689/100000000000000000000 (pow x 2)))))
4344131920367546379167405106887/1000000000000000000000000000000
(+ 4344131920367546379167405106887/1000000000000000000000000000000 (* -353558218835431/1000000000000000 (pow x 3)))
(+ 4344131920367546379167405106887/1000000000000000000000000000000 (* -353558218835431/1000000000000000 (pow x 3)))
(+ 4344131920367546379167405106887/1000000000000000000000000000000 (* -353558218835431/1000000000000000 (pow x 3)))
(* -353558218835431/1000000000000000 (pow x 3))
(* (pow x 3) (- (* 4344131920367546379167405106887/1000000000000000000000000000000 (/ 1 (pow x 3))) 353558218835431/1000000000000000))
(* (pow x 3) (- (* 4344131920367546379167405106887/1000000000000000000000000000000 (/ 1 (pow x 3))) 353558218835431/1000000000000000))
(* (pow x 3) (- (* 4344131920367546379167405106887/1000000000000000000000000000000 (/ 1 (pow x 3))) 353558218835431/1000000000000000))
(* -353558218835431/1000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 353558218835431/1000000000000000 (* 4344131920367546379167405106887/1000000000000000000000000000000 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 353558218835431/1000000000000000 (* 4344131920367546379167405106887/1000000000000000000000000000000 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (- 353558218835431/1000000000000000 (* 4344131920367546379167405106887/1000000000000000000000000000000 (/ 1 (pow x 3))))))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* -353558218835431/1000000000000000 (pow x 3))
(* 2019128943700000/3765144869953399 x)
(* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x)))
(* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x)))
(* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x)))
(* -992893270668800000/28026402392785699337 (pow x 2))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* -992893270668800000/28026402392785699337 (pow x 2))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* (pow x 2) (- (* 2019128943700000/3765144869953399 (/ 1 x)) 992893270668800000/28026402392785699337))
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* -992893270668800000/28026402392785699337 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
(* 2019128943700000/3765144869953399 x)
-10000000000/16316775383
(- (* 1000000000000000/3765144869953399 x) 10000000000/16316775383)
(- (* x (+ 1000000000000000/3765144869953399 (* -100000000000000000000/868818474176356679447 x))) 10000000000/16316775383)
(- (* x (+ 1000000000000000/3765144869953399 (* x (- (* 10000000000000000000000000/200482469371616832852433591 x) 100000000000000000000/868818474176356679447)))) 10000000000/16316775383)
(/ -100000/70711 x)
(/ (- (* 230753/70711 (/ 1 x)) 100000/70711) x)
(/ (- (* 230753/70711 (/ 1 x)) (+ 100000/70711 (/ 53246947009/7071100000 (pow x 2)))) x)
(/ (- (+ (* 230753/70711 (/ 1 x)) (* 12286892763167777/707110000000000 (/ 1 (pow x 3)))) (+ 100000/70711 (/ 53246947009/7071100000 (pow x 2)))) x)
(/ -100000/70711 x)
(* -1 (/ (- 100000/70711 (* 230753/70711 (/ 1 x))) x))
(* -1 (/ (+ 100000/70711 (* -1 (/ (- 230753/70711 (* 53246947009/7071100000 (/ 1 x))) x))) x))
(* -1 (/ (+ 100000/70711 (* -1 (/ (+ 230753/70711 (* -1 (/ (- 53246947009/7071100000 (* 12286892763167777/707110000000000 (/ 1 x))) x))) x))) x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -669966440716815338483429727171768083/532469470090000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -669966440716815338483429727171768083/532469470090000000000000000000000000 binary64)))))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (*.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* x (- (* -1 (/ (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x))) (pow x 3))) 70711/100000))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 #s(literal -130580631165380741444668933732331557/305609484551209950903780966400000 binary64) x)) (*.f64 x (*.f64 x x)))))
(* x (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) (pow x 4))) (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 (-.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 (+.f64 #s(literal 130580631165380741444668933732331557/305609484551209950903780966400000 binary64) (/.f64 #s(literal 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 binary64) x)) x)) (*.f64 x (*.f64 x x)))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (+ 70711/100000 (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (*.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* -1 (* x (+ 70711/100000 (+ (* 28026402392785699337/992893270668800000 (/ 1 (pow x 3))) (/ 130580631165380741444668933732331557/305609484551209950903780966400000 (pow x 4))))))
(+.f64 (*.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 130580631165380741444668933732331557/305609484551209950903780966400000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* x (+ 70711/100000 (* -1 (/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) x)) 28026402392785699337/992893270668800000) (pow x 3))))))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 (-.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 (+.f64 #s(literal 130580631165380741444668933732331557/305609484551209950903780966400000 binary64) (/.f64 #s(literal 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 binary64) x)) x)) (*.f64 x (*.f64 x x)))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -1427746267379707/1000000000000000 binary64)))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -669966440716815338483429727171768083/532469470090000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -669966440716815338483429727171768083/532469470090000000000000000000000000 binary64)))) #s(literal -1427746267379707/1000000000000000 binary64))))
(/ -28026402392785699337/992893270668800000 (pow x 2))
(/.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (*.f64 x x))
(* -1 (/ (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 #s(literal -130580631165380741444668933732331557/305609484551209950903780966400000 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) x)) 28026402392785699337/992893270668800000) (pow x 2))
(/.f64 (-.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 (+.f64 #s(literal 130580631165380741444668933732331557/305609484551209950903780966400000 binary64) (/.f64 #s(literal 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (* 3262687589012009293727285379817156011549752802515786255001283547597/28953118684773432430437344662483782571397532520344557977600000 (/ 1 x))) (pow x 2))) (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 #s(literal -130580631165380741444668933732331557/305609484551209950903780966400000 binary64) x)) (/.f64 (+.f64 #s(literal 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 binary64) (/.f64 #s(literal 3262687589012009293727285379817156011549752802515786255001283547597/28953118684773432430437344662483782571397532520344557977600000 binary64) x)) (*.f64 x x))) (*.f64 x x))
(/ -28026402392785699337/992893270668800000 (pow x 2))
(/.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (*.f64 x x))
(* -1 (/ (+ 28026402392785699337/992893270668800000 (* 130580631165380741444668933732331557/305609484551209950903780966400000 (/ 1 x))) (pow x 2)))
(/.f64 (+.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 #s(literal -130580631165380741444668933732331557/305609484551209950903780966400000 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x))) x)) 28026402392785699337/992893270668800000) (pow x 2))
(/.f64 (-.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 (+.f64 #s(literal 130580631165380741444668933732331557/305609484551209950903780966400000 binary64) (/.f64 #s(literal 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 binary64) x)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 130580631165380741444668933732331557/305609484551209950903780966400000 (+ (* 654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 (/ 1 x)) (/ 3262687589012009293727285379817156011549752802515786255001283547597/28953118684773432430437344662483782571397532520344557977600000 (pow x 2)))) x)) 28026402392785699337/992893270668800000) (pow x 2))
(/.f64 (+.f64 #s(literal -28026402392785699337/992893270668800000 binary64) (/.f64 (+.f64 (+.f64 #s(literal -130580631165380741444668933732331557/305609484551209950903780966400000 binary64) (/.f64 #s(literal -654334516801201807172363788418767562955078771616977/94065656205671655701945563819702499881779200000 binary64) x)) (/.f64 #s(literal -3262687589012009293727285379817156011549752802515786255001283547597/28953118684773432430437344662483782571397532520344557977600000 binary64) (*.f64 x x))) x)) (*.f64 x x))
10000000000/16316775383
#s(literal 10000000000/16316775383 binary64)
(+ 10000000000/16316775383 (* 2019128943700000/3765144869953399 x))
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x))))
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))
(+ 10000000000/16316775383 (* x (+ 2019128943700000/3765144869953399 (* -992893270668800000/28026402392785699337 x))))
(+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))
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(pow x 3)
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(pow x 3)
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(pow x 3)
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(pow x 3)
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(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
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(pow x 3)
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(pow x 3)
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eval147.0ms (1.5%)

Compiler

Compiled 22042 to 1812 computations (91.8% saved)

prune142.0ms (1.4%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New9045909
Fresh11112
Picked235
Done066
Total90725932
Accuracy
100.0%
Counts
932 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) x)) x)
65.0%
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72.7%
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
▶75.9%
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
26.1%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)))
72.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))))
✓99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
51.5%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 3765144869953399/2019128943700000 binary64) x))
✓99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
58.1%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 448100000/1913510371 binary64)) #s(literal 165123177600000/51781504149631 binary64))))
✓97.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
✓97.7%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
▶51.8%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))))
✓97.5%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
▶52.2%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
▶50.7%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
50.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 28828038127260055617254959/23075300000000000000000000 binary64)))))
▶57.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
27.4%
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal -100000/70711 binary64) x))
26.4%
(*.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
✓51.5%
(*.f64 x #s(literal -70711/100000 binary64))
✓51.1%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
✓99.9%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
51.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
✓50.0%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 806 to 476 computations (40.9% saved)

simplify245.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff128
(*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x))))
✓cost-diff128
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))))))
✓cost-diff0
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
✓cost-diff0
(*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))
✓cost-diff0
(+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
✓cost-diff0
(*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x)
✓cost-diff0
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))
✓cost-diff0
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x))
✓cost-diff0
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
Rules
3978×*-lowering-*.f32
3978×*-lowering-*.f64
2498×+-lowering-+.f64
2498×+-lowering-+.f32
1480×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049410
1118352
2275352
3625349
41608343
54672343
08045343
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000) (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))))
(* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000)
(- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x))
(/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000))))
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
x
27061/100000
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
1
(* x (+ 99229/100000 (* x 4481/100000)))
(+ 99229/100000 (* x 4481/100000))
99229/100000
(* x 4481/100000)
4481/100000
(/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))
(* x x)
70711/100000
(+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))))
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
16316775383/10000000000
(* -2134856267379707/1000000000000000 x)
-2134856267379707/1000000000000000
x
(+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))))
16316775383/10000000000
(* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000)))
x
(+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))
-2134856267379707/1000000000000000
(* x 134362287316698645903/100000000000000000000)
134362287316698645903/100000000000000000000
(+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))))
16316775383/10000000000
(* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))))
x
(+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))
-2134856267379707/1000000000000000
(* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))
(+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))
134362287316698645903/100000000000000000000
(* x -12692862305735843227608787/10000000000000000000000000)
-12692862305735843227608787/10000000000000000000000000
(+ (* x -70711/100000) (/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))))
(* x -70711/100000)
x
-70711/100000
(/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x))))
1
(* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))
(+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x))
448100000/1913510371
(/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)
(+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x))
165123177600000/51781504149631
(/ -992893270668800000/45201912380424661 x)
-992893270668800000/45201912380424661
Outputs
(/ (* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000) (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))))
(*.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) (*.f64 x x)) (/.f64 #s(literal 70711/100000 binary64) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))))
(* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000)
(+.f64 (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x))
(-.f64 (*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) (*.f64 x x))
(/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000))))
(*.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
(+ 230753/100000 (* x 27061/100000))
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
230753/100000
#s(literal 230753/100000 binary64)
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
x
27061/100000
#s(literal 27061/100000 binary64)
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
1
#s(literal 1 binary64)
(* x (+ 99229/100000 (* x 4481/100000)))
(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(+ 99229/100000 (* x 4481/100000))
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
99229/100000
#s(literal 99229/100000 binary64)
(* x 4481/100000)
(*.f64 x #s(literal 4481/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
(/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))
(* x x)
(*.f64 x x)
70711/100000
#s(literal 70711/100000 binary64)
(+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))))
(+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))))
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -2134856267379707/1000000000000000 binary64)))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* -2134856267379707/1000000000000000 x)
(*.f64 x #s(literal -2134856267379707/1000000000000000 binary64))
-2134856267379707/1000000000000000
#s(literal -2134856267379707/1000000000000000 binary64)
x
(+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000)))
(*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))))
x
(+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))
(+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))
-2134856267379707/1000000000000000
#s(literal -2134856267379707/1000000000000000 binary64)
(* x 134362287316698645903/100000000000000000000)
(*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))
134362287316698645903/100000000000000000000
#s(literal 134362287316698645903/100000000000000000000 binary64)
(+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))))
(*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))))))
x
(+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))
(+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))
-2134856267379707/1000000000000000
#s(literal -2134856267379707/1000000000000000 binary64)
(* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))
(*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))))
(+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))
(+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))
134362287316698645903/100000000000000000000
#s(literal 134362287316698645903/100000000000000000000 binary64)
(* x -12692862305735843227608787/10000000000000000000000000)
(*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))
-12692862305735843227608787/10000000000000000000000000
#s(literal -12692862305735843227608787/10000000000000000000000000 binary64)
(+ (* x -70711/100000) (/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) (*.f64 x #s(literal 448100000/1913510371 binary64)))) (*.f64 x #s(literal -70711/100000 binary64)))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) (*.f64 x #s(literal 448100000/1913510371 binary64))))
1
#s(literal 1 binary64)
(* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))
(+.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) (*.f64 x #s(literal 448100000/1913510371 binary64)))
(+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x))
(+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x))
448100000/1913510371
#s(literal 448100000/1913510371 binary64)
(/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)
(/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)
(+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x))
(+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))
165123177600000/51781504149631
#s(literal 165123177600000/51781504149631 binary64)
(/ -992893270668800000/45201912380424661 x)
(/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)
-992893270668800000/45201912380424661
#s(literal -992893270668800000/45201912380424661 binary64)

localize333.0ms (3.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x))))
✓accuracy78.6%
(*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))
✓accuracy100.0%
(+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))))))
✓accuracy99.6%
(*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))))
✓accuracy99.3%
(*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64))
✓accuracy100.0%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
✓accuracy99.5%
(*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x)
✓accuracy99.1%
(/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))))
✓accuracy76.0%
(/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))
✓accuracy75.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))
✓accuracy75.3%
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
Results
231.0ms256×0valid
Compiler

Compiled 415 to 50 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
...c/correct-round.rkt:119:19: 85.0ms (54.8% of total)
ival-mult: 40.0ms (25.8% of total)
ival-add: 16.0ms (10.3% of total)
ival-div: 12.0ms (7.7% of total)
ival-sub: 1.0ms (0.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/ (* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000) (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))))>
#<alt (* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000)>
#<alt (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x))>
#<alt (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000))))>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))))>
#<alt (* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000)))>
#<alt (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))>
#<alt (* x 134362287316698645903/100000000000000000000)>
#<alt (+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))))>
#<alt (* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))))>
#<alt (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))>
#<alt (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))>
#<alt (+ (* x -70711/100000) (/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))))>
#<alt (/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x))))>
#<alt (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))>
#<alt (* x -70711/100000)>
#<alt (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))>
#<alt (* x -12692862305735843227608787/10000000000000000000000000)>
#<alt (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))>
#<alt (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)>
Outputs
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt 3765144869953399/1000000000000000>
#<alt (+ 3765144869953399/1000000000000000 (* -329456734436669529371/50000000000000000000 x))>
#<alt (+ 3765144869953399/1000000000000000 (* x (- (* 83765939897640380893364877/10000000000000000000000000 x) 329456734436669529371/50000000000000000000)))>
#<alt (+ 3765144869953399/1000000000000000 (* x (- (* x (+ 83765939897640380893364877/10000000000000000000000000 (* -2820931944132139737516928826611/250000000000000000000000000000 x))) 329456734436669529371/50000000000000000000)))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))>
#<alt (* (pow x 2) (- (+ (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (* 24170290557664624615672/1259939806776003125 (/ 1 (pow x 6)))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- 197478070518796806/281173802003125 (* 24170290557664624615672/1259939806776003125 (/ 1 x))) (pow x 5))) (* 51781504149631/2007936100000 (/ 1 (pow x 4)))) 70711/100000))>
#<alt 53246947009/10000000000>
#<alt (+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x))>
#<alt (+ 53246947009/10000000000 (* x (- (* 1184623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000)))>
#<alt (+ 53246947009/10000000000 (* x (- (* x (+ 1184623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5)))))>
#<alt (* (pow x 2) (- (+ (* 732297721/20079361 (/ 1 (pow x 4))) (* 10938175076653816064/403180738168321 (/ 1 (pow x 6)))) (+ 1 (/ 89367966180672/89975616641 (pow x 5)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1))>
#<alt 53246947009/10000000000>
#<alt (+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x))>
#<alt (+ 53246947009/10000000000 (* x (- (* 1284623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000)))>
#<alt (+ 53246947009/10000000000 (* x (- (* x (+ 1284623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000)))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (* 89367966180672/89975616641 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (+ (* 89367966180672/89975616641 (/ 1 x)) (* 1275847058519881085384960/1806652887732246401 (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 732297721/20079361 (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) x))) (pow x 2))>
#<alt (/ (+ 732297721/20079361 (* -1 (/ (+ 89367966180672/89975616641 (* -1 (/ (- 10938175076653816064/403180738168321 (* 1275847058519881085384960/1806652887732246401 (/ 1 x))) x))) x))) (pow x 2))>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))>
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))>
#<alt (* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))>
#<alt (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))>
#<alt (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))>
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt -2134856267379707/1000000000000000>
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)>
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)>
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))>
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))>
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 134362287316698645903/100000000000000000000 (/ 1 x)) (* 16316775383/10000000000 (/ 1 (pow x 3)))) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))) x)))))>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))>
#<alt (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))>
#<alt (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 3))>
#<alt (* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x)))))>
#<alt -2134856267379707/1000000000000000>
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)>
#<alt (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)>
#<alt (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000) x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000) x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)))>
#<alt (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)))>
#<alt (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* -747286673003039829/992893270668800000 x)>
#<alt (* x (- (* -63118796514304532553212661753/9550296392225310965743155200000 x) 747286673003039829/992893270668800000))>
#<alt (* x (- (* x (- (* -1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000 x) 63118796514304532553212661753/9550296392225310965743155200000)) 747286673003039829/992893270668800000))>
#<alt (* x (- (* x (- (* x (- (* -990344763608351541174448225766033215255815481685724801/3534316245699881888481121174619602364672550356487372800000 x) 1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000)) 63118796514304532553212661753/9550296392225310965743155200000)) 747286673003039829/992893270668800000))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -45201912380424661/992893270668800000 x)>
#<alt (* x (- (* -63118796514304532553212661753/9550296392225310965743155200000 x) 45201912380424661/992893270668800000))>
#<alt (* x (- (* x (- (* -1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000 x) 63118796514304532553212661753/9550296392225310965743155200000)) 45201912380424661/992893270668800000))>
#<alt (* x (- (* x (- (* x (- (* -990344763608351541174448225766033215255815481685724801/3534316245699881888481121174619602364672550356487372800000 x) 1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000)) 63118796514304532553212661753/9550296392225310965743155200000)) 45201912380424661/992893270668800000))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 20013591038176291240469277509376/922651049099247445926378125 (/ 1 (pow x 3))))) x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20013591038176291240469277509376/922651049099247445926378125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt (/ -992893270668800000/45201912380424661 x)>
#<alt (/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) x)>
#<alt (/ (- (* x (+ 165123177600000/51781504149631 (* 448100000/1913510371 x))) 992893270668800000/45201912380424661) x)>
#<alt (/ (- (* x (+ 165123177600000/51781504149631 (* 448100000/1913510371 x))) 992893270668800000/45201912380424661) x)>
#<alt (* 448100000/1913510371 x)>
#<alt (* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))>
#<alt (* x (- (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))) (/ 992893270668800000/45201912380424661 (pow x 2))))>
#<alt (* x (- (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))) (/ 992893270668800000/45201912380424661 (pow x 2))))>
#<alt (* 448100000/1913510371 x)>
#<alt (* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)) 448100000/1913510371)))>
#<alt (* -1 (* x (- (* -1 (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)) 448100000/1913510371)))>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt (* -70711/100000 x)>
#<alt 100000/230753>
#<alt (+ 100000/230753 (* 20191289437/53246947009 x))>
#<alt (+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))>
#<alt (+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))>
#<alt (* 4481/27061 x)>
#<alt (* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))>
#<alt (* x (- (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))) (/ 307796913907328/19816708627981 (pow x 2))))>
#<alt (* x (- (+ 4481/27061 (+ (* 1651231776/732297721 (/ 1 x)) (* 71025061274857657984/536259952181793841 (/ 1 (pow x 3))))) (/ 307796913907328/19816708627981 (pow x 2))))>
#<alt (* 4481/27061 x)>
#<alt (* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt 134362287316698645903/100000000000000000000>
#<alt (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))>
#<alt (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))>
#<alt (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))>
#<alt (* -12692862305735843227608787/10000000000000000000000000 x)>
#<alt (* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))>
#<alt (* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))>
#<alt (/ -992893270668800000/45201912380424661 (pow x 2))>
#<alt (/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) (pow x 2))>
#<alt (/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) (pow x 2))>
#<alt (/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) (pow x 2))>
#<alt (/ 165123177600000/51781504149631 x)>
#<alt (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)>
#<alt (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)>
#<alt (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)>
#<alt (/ 165123177600000/51781504149631 x)>
#<alt (* -1 (/ (- (* 992893270668800000/45201912380424661 (/ 1 x)) 165123177600000/51781504149631) x))>
#<alt (* -1 (/ (- (* 992893270668800000/45201912380424661 (/ 1 x)) 165123177600000/51781504149631) x))>
#<alt (* -1 (/ (- (* 992893270668800000/45201912380424661 (/ 1 x)) 165123177600000/51781504149631) x))>
Calls

69 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000)))
1.0ms
x
@inf
(/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))
0.0ms
x
@0
(/ (* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000) (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))))
0.0ms
x
@0
(+ (* x -70711/100000) (/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))))
0.0ms
x
@-inf
(* x 134362287316698645903/100000000000000000000)

rewrite656.0ms (6.6%)

Algorithm
1×batch-egg-rewrite
Rules
3266×fma-lowering-fma.f32
3266×fma-lowering-fma.f64
3192×*-lowering-*.f32
3192×*-lowering-*.f64
1858×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049316
1338225
23339222
08665222
Stop Event
1×iter limit
1×node limit
Counts
23 → 476
Calls
Call 1
Inputs
(/ (* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000) (+ x (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))))
(* (- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x)) 70711/100000)
(- (/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))) (* x x))
(/ (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000))))
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(* -2134856267379707/1000000000000000 x)
(+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))))
(* x (+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000)))
(+ -2134856267379707/1000000000000000 (* x 134362287316698645903/100000000000000000000))
(* x 134362287316698645903/100000000000000000000)
(+ 16316775383/10000000000 (* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))))
(* x (+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))))
(+ -2134856267379707/1000000000000000 (* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))))
(* x (+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000)))
(+ (* x -70711/100000) (/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))))
(/ 1 (* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x))))
(* x (+ 448100000/1913510371 (/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)))
(* x -70711/100000)
(/ (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))) (+ 230753/100000 (* x 27061/100000)))
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(* x -12692862305735843227608787/10000000000000000000000000)
(+ 134362287316698645903/100000000000000000000 (* x -12692862305735843227608787/10000000000000000000000000))
(/ (+ 165123177600000/51781504149631 (/ -992893270668800000/45201912380424661 x)) x)
Outputs
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(pow.f64 (/.f64 (+.f64 #s(literal 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)) #s(literal 134362287316698645903/100000000000000000000 binary64)))) (+.f64 #s(literal 2425672504071029683246301507428057477094143947312693723729327/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2044931224581246107914844927775375364820044790209597097951575713162209499403/1000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64))) (-.f64 #s(literal 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 161108753512369826557751680853765787110641919611369/100000000000000000000000000000000000000000000000000 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 2425672504071029683246301507428057477094143947312693723729327/1000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -2044931224581246107914844927775375364820044790209597097951575713162209499403/1000000000000000000000000000000000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)) (-.f64 (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)) #s(literal 134362287316698645903/100000000000000000000 binary64))))))
(*.f64 (-.f64 #s(literal 18053224252975077806958552638793778685409/10000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 161108753512369826557751680853765787110641919611369/100000000000000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) #s(literal -165123177600000/51781504149631 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)))))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) #s(literal -165123177600000/51781504149631 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 4502193042845904546911256576000000000000000/138842998738833415574799506023852154206591 binary64) (/.f64 #s(literal -978830969882119206055625013732596252672000000000000000/92357129705031561481648857557553884308941800316781 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (*.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) (-.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) #s(literal 165123177600000/51781504149631 binary64))))))
(/.f64 (-.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (/.f64 #s(literal 985837046939386938399293440000000000/2043212882847588243026586696964921 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal 4502193042845904546911256576000000000000000/138842998738833415574799506023852154206591 binary64) (/.f64 #s(literal -978830969882119206055625013732596252672000000000000000/92357129705031561481648857557553884308941800316781 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (*.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) (-.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) #s(literal 165123177600000/51781504149631 binary64)))) x))
(/.f64 (*.f64 (-.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (/.f64 #s(literal 985837046939386938399293440000000000/2043212882847588243026586696964921 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x))
(/.f64 (*.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) #s(literal -165123177600000/51781504149631 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (+.f64 #s(literal 4502193042845904546911256576000000000000000/138842998738833415574799506023852154206591 binary64) (/.f64 #s(literal -978830969882119206055625013732596252672000000000000000/92357129705031561481648857557553884308941800316781 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (*.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) (-.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) #s(literal 165123177600000/51781504149631 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (/.f64 #s(literal 985837046939386938399293440000000000/2043212882847588243026586696964921 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)))
(pow.f64 (/.f64 x (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x))
(*.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 (neg.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) #s(literal -165123177600000/51781504149631 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 4502193042845904546911256576000000000000000/138842998738833415574799506023852154206591 binary64) (/.f64 #s(literal -978830969882119206055625013732596252672000000000000000/92357129705031561481648857557553884308941800316781 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (*.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) (-.f64 (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x) #s(literal 165123177600000/51781504149631 binary64))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 27265663780721141760000000000/2681324171998252472437436161 binary64) (/.f64 #s(literal 985837046939386938399293440000000000/2043212882847588243026586696964921 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x))))

simplify302.0ms (3%)

Algorithm
1×egg-herbie
Rules
3918×*-lowering-*.f32
3918×*-lowering-*.f64
3640×+-lowering-+.f64
3640×+-lowering-+.f32
1840×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04362116
113082005
235011863
084601863
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
3765144869953399/1000000000000000
(+ 3765144869953399/1000000000000000 (* -329456734436669529371/50000000000000000000 x))
(+ 3765144869953399/1000000000000000 (* x (- (* 83765939897640380893364877/10000000000000000000000000 x) 329456734436669529371/50000000000000000000)))
(+ 3765144869953399/1000000000000000 (* x (- (* x (+ 83765939897640380893364877/10000000000000000000000000 (* -2820931944132139737516928826611/250000000000000000000000000000 x))) 329456734436669529371/50000000000000000000)))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))
(* (pow x 2) (- (+ (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (* 24170290557664624615672/1259939806776003125 (/ 1 (pow x 6)))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))
(* (pow x 2) (- (+ (* -1 (/ (- 197478070518796806/281173802003125 (* 24170290557664624615672/1259939806776003125 (/ 1 x))) (pow x 5))) (* 51781504149631/2007936100000 (/ 1 (pow x 4)))) 70711/100000))
53246947009/10000000000
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x))
(+ 53246947009/10000000000 (* x (- (* 1184623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000)))
(+ 53246947009/10000000000 (* x (- (* x (+ 1184623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5)))))
(* (pow x 2) (- (+ (* 732297721/20079361 (/ 1 (pow x 4))) (* 10938175076653816064/403180738168321 (/ 1 (pow x 6)))) (+ 1 (/ 89367966180672/89975616641 (pow x 5)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) (+ 1 (/ 89367966180672/89975616641 (pow x 5)))))
(* (pow x 2) (- (+ (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) (pow x 5))) (* 732297721/20079361 (/ 1 (pow x 4)))) 1))
53246947009/10000000000
(+ 53246947009/10000000000 (* -4659200611456061/500000000000000 x))
(+ 53246947009/10000000000 (* x (- (* 1284623890167588930907/100000000000000000000 x) 4659200611456061/500000000000000)))
(+ 53246947009/10000000000 (* x (- (* x (+ 1284623890167588930907/100000000000000000000 (* -39893820538984595572356901/2500000000000000000000000 x))) 4659200611456061/500000000000000)))
(/ 732297721/20079361 (pow x 2))
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2))
(/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (* 89367966180672/89975616641 (/ 1 x))) (pow x 2))
(/ (- (+ 732297721/20079361 (/ 10938175076653816064/403180738168321 (pow x 2))) (+ (* 89367966180672/89975616641 (/ 1 x)) (* 1275847058519881085384960/1806652887732246401 (/ 1 (pow x 3))))) (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ (- 732297721/20079361 (* 89367966180672/89975616641 (/ 1 x))) (pow x 2))
(/ (+ 732297721/20079361 (* -1 (/ (- 89367966180672/89975616641 (* 10938175076653816064/403180738168321 (/ 1 x))) x))) (pow x 2))
(/ (+ 732297721/20079361 (* -1 (/ (+ 89367966180672/89975616641 (* -1 (/ (- 10938175076653816064/403180738168321 (* 1275847058519881085384960/1806652887732246401 (/ 1 x))) x))) x))) (pow x 2))
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(* -2134856267379707/1000000000000000 x)
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))
(* x (- (* 16316775383/10000000000 (/ 1 x)) 2134856267379707/1000000000000000))
(* -2134856267379707/1000000000000000 x)
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))
(* -1 (* x (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x)))))
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
(* -2134856267379707/1000000000000000 x)
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(* 134362287316698645903/100000000000000000000 (pow x 2))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))
(* 134362287316698645903/100000000000000000000 (pow x 2))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))
(* -2134856267379707/1000000000000000 x)
(* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))
(* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))
(* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))
(* 134362287316698645903/100000000000000000000 (pow x 2))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* 134362287316698645903/100000000000000000000 (pow x 2))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
-2134856267379707/1000000000000000
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)
(* 134362287316698645903/100000000000000000000 x)
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* 134362287316698645903/100000000000000000000 x)
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
(* 134362287316698645903/100000000000000000000 x)
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -12692862305735843227608787/10000000000000000000000000 (pow x 3))
(* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))
(* (pow x 3) (- (+ (* 134362287316698645903/100000000000000000000 (/ 1 x)) (* 16316775383/10000000000 (/ 1 (pow x 3)))) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))
(* -12692862305735843227608787/10000000000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))) x)))))
(* -2134856267379707/1000000000000000 x)
(* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000))
(* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))
(* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000))
(* -12692862305735843227608787/10000000000000000000000000 (pow x 3))
(* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))
(* (pow x 3) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))
(* -12692862305735843227608787/10000000000000000000000000 (pow x 3))
(* -1 (* (pow x 3) (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 12692862305735843227608787/10000000000000000000000000 (* -1 (/ (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))) x)))))
-2134856267379707/1000000000000000
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)
(- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)
(- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)
(* -12692862305735843227608787/10000000000000000000000000 (pow x 2))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) (+ 12692862305735843227608787/10000000000000000000000000 (/ 2134856267379707/1000000000000000 (pow x 2)))))
(* -12692862305735843227608787/10000000000000000000000000 (pow x 2))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000) x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 2) (- (* -1 (/ (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000) x)) 12692862305735843227608787/10000000000000000000000000))
(* 134362287316698645903/100000000000000000000 x)
(* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)))
(* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)))
(* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x)))
(* -12692862305735843227608787/10000000000000000000000000 (pow x 2))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* -12692862305735843227608787/10000000000000000000000000 (pow x 2))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* (pow x 2) (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* -747286673003039829/992893270668800000 x)
(* x (- (* -63118796514304532553212661753/9550296392225310965743155200000 x) 747286673003039829/992893270668800000))
(* x (- (* x (- (* -1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000 x) 63118796514304532553212661753/9550296392225310965743155200000)) 747286673003039829/992893270668800000))
(* x (- (* x (- (* x (- (* -990344763608351541174448225766033215255815481685724801/3534316245699881888481121174619602364672550356487372800000 x) 1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000)) 63118796514304532553212661753/9550296392225310965743155200000)) 747286673003039829/992893270668800000))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -45201912380424661/992893270668800000 x)
(* x (- (* -63118796514304532553212661753/9550296392225310965743155200000 x) 45201912380424661/992893270668800000))
(* x (- (* x (- (* -1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000 x) 63118796514304532553212661753/9550296392225310965743155200000)) 45201912380424661/992893270668800000))
(* x (- (* x (- (* x (- (* -990344763608351541174448225766033215255815481685724801/3534316245699881888481121174619602364672550356487372800000 x) 1061775677236307297987641065794517611184113/734887939106809810171449717341425780326400000)) 63118796514304532553212661753/9550296392225310965743155200000)) 45201912380424661/992893270668800000))
(/ 1913510371/448100000 x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 20013591038176291240469277509376/922651049099247445926378125 (/ 1 (pow x 3))))) x)
(/ 1913510371/448100000 x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 20013591038176291240469277509376/922651049099247445926378125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(/ -992893270668800000/45201912380424661 x)
(/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) x)
(/ (- (* x (+ 165123177600000/51781504149631 (* 448100000/1913510371 x))) 992893270668800000/45201912380424661) x)
(/ (- (* x (+ 165123177600000/51781504149631 (* 448100000/1913510371 x))) 992893270668800000/45201912380424661) x)
(* 448100000/1913510371 x)
(* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))
(* x (- (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))) (/ 992893270668800000/45201912380424661 (pow x 2))))
(* x (- (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))) (/ 992893270668800000/45201912380424661 (pow x 2))))
(* 448100000/1913510371 x)
(* x (+ 448100000/1913510371 (* 165123177600000/51781504149631 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)) 448100000/1913510371)))
(* -1 (* x (- (* -1 (/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)) 448100000/1913510371)))
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
(* -70711/100000 x)
100000/230753
(+ 100000/230753 (* 20191289437/53246947009 x))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* -307796913907328/12286892763167777 x))))
(+ 100000/230753 (* x (+ 20191289437/53246947009 (* x (- (* 8329292287246203008/2835237365779254046081 x) 307796913907328/12286892763167777)))))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* x (- (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))) (/ 307796913907328/19816708627981 (pow x 2))))
(* x (- (+ 4481/27061 (+ (* 1651231776/732297721 (/ 1 x)) (* 71025061274857657984/536259952181793841 (/ 1 (pow x 3))))) (/ 307796913907328/19816708627981 (pow x 2))))
(* 4481/27061 x)
(* x (+ 4481/27061 (* 1651231776/732297721 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1651231776/732297721 (* 307796913907328/19816708627981 (/ 1 x))) x)) 4481/27061)))
(* -1 (* x (- (* -1 (/ (+ 1651231776/732297721 (* -1 (/ (- 307796913907328/19816708627981 (* 71025061274857657984/536259952181793841 (/ 1 x))) x))) x)) 4481/27061)))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -12692862305735843227608787/10000000000000000000000000 x)
134362287316698645903/100000000000000000000
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))
(+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))
(* -12692862305735843227608787/10000000000000000000000000 x)
(* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* x (- (* 134362287316698645903/100000000000000000000 (/ 1 x)) 12692862305735843227608787/10000000000000000000000000))
(* -12692862305735843227608787/10000000000000000000000000 x)
(* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))
(* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))
(* -1 (* x (- 12692862305735843227608787/10000000000000000000000000 (* 134362287316698645903/100000000000000000000 (/ 1 x)))))
(/ -992893270668800000/45201912380424661 (pow x 2))
(/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) (pow x 2))
(/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) (pow x 2))
(/ (- (* 165123177600000/51781504149631 x) 992893270668800000/45201912380424661) (pow x 2))
(/ 165123177600000/51781504149631 x)
(/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)
(/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)
(/ (- 165123177600000/51781504149631 (* 992893270668800000/45201912380424661 (/ 1 x))) x)
(/ 165123177600000/51781504149631 x)
(* -1 (/ (- (* 992893270668800000/45201912380424661 (/ 1 x)) 165123177600000/51781504149631) x))
(* -1 (/ (- (* 992893270668800000/45201912380424661 (/ 1 x)) 165123177600000/51781504149631) x))
(* -1 (/ (- (* 992893270668800000/45201912380424661 (/ 1 x)) 165123177600000/51781504149631) x))
Outputs
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(*.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x))))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) #s(literal -70711/100000 binary64))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x x)) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(*.f64 (+.f64 #s(literal 70711/100000 binary64) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)) x) (*.f64 x x)) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
3765144869953399/1000000000000000
#s(literal 3765144869953399/1000000000000000 binary64)
(+ 3765144869953399/1000000000000000 (* -329456734436669529371/50000000000000000000 x))
(+.f64 #s(literal 3765144869953399/1000000000000000 binary64) (*.f64 x #s(literal -329456734436669529371/50000000000000000000 binary64)))
(+ 3765144869953399/1000000000000000 (* x (- (* 83765939897640380893364877/10000000000000000000000000 x) 329456734436669529371/50000000000000000000)))
(+.f64 #s(literal 3765144869953399/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal -329456734436669529371/50000000000000000000 binary64) (*.f64 x #s(literal 83765939897640380893364877/10000000000000000000000000 binary64)))))
(+ 3765144869953399/1000000000000000 (* x (- (* x (+ 83765939897640380893364877/10000000000000000000000000 (* -2820931944132139737516928826611/250000000000000000000000000000 x))) 329456734436669529371/50000000000000000000)))
(+.f64 #s(literal 3765144869953399/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal -329456734436669529371/50000000000000000000 binary64) (*.f64 x (+.f64 #s(literal 83765939897640380893364877/10000000000000000000000000 binary64) (*.f64 x #s(literal -2820931944132139737516928826611/250000000000000000000000000000 binary64)))))))
(* -70711/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(*.f64 (*.f64 x x) (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 51781504149631/2007936100000 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 #s(literal 51781504149631/2007936100000 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal -197478070518796806/281173802003125 binary64) (pow.f64 x #s(literal 5 binary64))))))
(* (pow x 2) (- (+ (* 51781504149631/2007936100000 (/ 1 (pow x 4))) (* 24170290557664624615672/1259939806776003125 (/ 1 (pow x 6)))) (+ 70711/100000 (/ 197478070518796806/281173802003125 (pow x 5)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -70711/100000 binary64) (+.f64 (/.f64 #s(literal -197478070518796806/281173802003125 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 51781504149631/2007936100000 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 24170290557664624615672/1259939806776003125 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -70711/100000 (pow x 2))
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(* -70711/100000 x)
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(* -70711/100000 x)
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(* -70711/100000 x)
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(* -70711/100000 x)
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(* -70711/100000 x)
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(* -70711/100000 x)
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(* -70711/100000 x)
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100000/230753
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230753/100000
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134362287316698645903/100000000000000000000
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eval118.0ms (1.2%)

Compiler

Compiled 30130 to 2511 computations (91.7% saved)

prune129.0ms (1.3%)

Pruning

25 alts after pruning (12 fresh and 13 done)

PrunedKeptTotal
New7933796
Fresh2911
Picked055
Done189
Total79625821
Accuracy
100.0%
Counts
821 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) x)) x)
72.7%
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
73.3%
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
✓75.9%
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
73.4%
(/.f64 (*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
72.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))))
✓99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
51.5%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 3765144869953399/2019128943700000 binary64) x))
✓99.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
58.1%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 448100000/1913510371 binary64)) #s(literal 165123177600000/51781504149631 binary64))))
✓97.9%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
✓97.7%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
✓51.8%
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))))
✓52.2%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
✓50.7%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
50.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 28828038127260055617254959/23075300000000000000000000 binary64)))))
✓57.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
27.4%
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal -100000/70711 binary64) x))
26.4%
(*.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
✓51.5%
(*.f64 x #s(literal -70711/100000 binary64))
4.0%
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
✓51.1%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
✓99.9%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
51.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
✓50.0%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 1087 to 476 computations (56.2% saved)

regimes54.0ms (0.5%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 3765144869953399/2019128943700000 binary64) x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 28828038127260055617254959/23075300000000000000000000 binary64)))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal -100000/70711 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 448100000/1913510371 binary64)) #s(literal 165123177600000/51781504149631 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(/.f64 (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) x)) x)
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal -1153775504107313/1000000000000000 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x))) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 732297721/10000000000 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (-.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -353558218835431/1000000000000000 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) (*.f64 x #s(literal -70711/100000 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))))
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
Calls

3 calls:

31.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
11.0ms
x
9.0ms
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
99.9%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes25.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 3765144869953399/2019128943700000 binary64) x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 28828038127260055617254959/23075300000000000000000000 binary64)))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal -100000/70711 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 448100000/1913510371 binary64)) #s(literal 165123177600000/51781504149631 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(/.f64 (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) x)) x)
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Outputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Calls

3 calls:

8.0ms
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
8.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
99.9%1(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes10.0ms (0.1%)

Counts
24 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 3765144869953399/2019128943700000 binary64) x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 28828038127260055617254959/23075300000000000000000000 binary64)))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal -100000/70711 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 448100000/1913510371 binary64)) #s(literal 165123177600000/51781504149631 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(/.f64 (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x (+.f64 #s(literal 2019128943700000/3765144869953399 binary64) (*.f64 x #s(literal -992893270668800000/28026402392785699337 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 3648757816023/62748003125 binary64) x)) x)
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (/.f64 (+.f64 #s(literal 165123177600000/51781504149631 binary64) (/.f64 #s(literal -992893270668800000/45201912380424661 binary64) x)) x)))))
Outputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 3765144869953399/2019128943700000 binary64) x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 28828038127260055617254959/23075300000000000000000000 binary64)))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal -100000/70711 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 448100000/1913510371 binary64)) #s(literal 165123177600000/51781504149631 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x (+.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64))) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(/.f64 (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
97.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 3765144869953399/2019128943700000 binary64) x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 28828038127260055617254959/23075300000000000000000000 binary64)))))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x (+.f64 #s(literal -2134856267379707/1000000000000000 binary64) (*.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64)))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal -100000/70711 binary64) x))
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
97.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
Outputs
(*.f64 x #s(literal -70711/100000 binary64))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(*.f64 x #s(literal -70711/100000 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.3%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 134362287316698645903/100000000000000000000 binary64) (*.f64 x x))
Outputs
(*.f64 x #s(literal -70711/100000 binary64))
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
98.1%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
Outputs
#s(literal 16316775383/10000000000 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
50.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch72.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.793274442199195
1.6317979468243633
49.0ms
-3.362006502534741
-2.5609770868630127e-14
Results
57.0ms240×0valid
Compiler

Compiled 204 to 169 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-add: 22.0ms (44% of total)
...c/correct-round.rkt:119:19: 16.0ms (32% of total)
ival-mult: 8.0ms (16% of total)
ival-div: 2.0ms (4% of total)
ival-sub: 1.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
0.793274442199195
1.6317979468243633
27.0ms
-3012.7115821305792
-3.362006502534741
Results
36.0ms208×0valid
Compiler

Compiled 128 to 110 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
...c/correct-round.rkt:119:19: 17.0ms (57.3% of total)
ival-mult: 6.0ms (20.2% of total)
ival-add: 3.0ms (10.1% of total)
ival-div: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
34×+-commutative_binary64
30×*-commutative_binary64
12×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056100
195100
2108100
3114100
4118100
5119100
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x)) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 x #s(literal -7/2 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
#s(literal 16316775383/10000000000 binary64)
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 99229/100000 binary64)))) x))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 10000000000/16316775383 binary64) (*.f64 x #s(literal 2019128943700000/3765144869953399 binary64)))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x)) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -2134856267379707/1000000000000000 binary64))) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 x #s(literal -7/2 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
#s(literal 16316775383/10000000000 binary64)

soundness1.5s (14.7%)

Rules
3150×*-lowering-*.f32
3150×*-lowering-*.f64
2992×/-lowering-/.f32
2992×/-lowering-/.f64
2416×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0213942
1640883
21636859
34310849
08541849
01619
13316
27216
311616
416616
522915
638615
785015
8235215
9734615
0824215
02571530
17491455
219971340
353501323
080981323
029116
117198
2174298
0833898
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×node limit
Compiler

Compiled 161 to 103 computations (36% saved)

preprocess47.0ms (0.5%)

Compiler

Compiled 250 to 144 computations (42.4% saved)

end0.0ms (0%)

Profiling

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