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

Time bar (total: 9.0s)

analyze8.0ms (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 (63.6% 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)

sample1.7s (19.3%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
...c/correct-round.rkt:119:19: 626.0ms (55.5% of total)
ival-mult: 238.0ms (21.1% of total)
ival-add: 142.0ms (12.6% of total)
ival-div: 59.0ms (5.2% of total)
ival-sub: 48.0ms (4.3% of total)
const: 12.0ms (1.1% of total)
backward-pass: 4.0ms (0.4% of total)
Bogosity

preprocess214.0ms (2.4%)

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
364548
4172748
5402345
6756245
01619
13316
27216
311716
416716
523015
638715
785115
8235615
9735415
0825115
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)))

explain306.0ms (3.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
690-0-(/.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
149.0ms512×0valid
Compiler

Compiled 204 to 50 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
...c/correct-round.rkt:119:19: 42.0ms (52.1% of total)
ival-mult: 23.0ms (28.6% of total)
ival-add: 8.0ms (9.9% of total)
ival-div: 4.0ms (5% of total)
ival-sub: 3.0ms (3.7% of total)
const: 1.0ms (1.2% 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
▶99.8%
(+.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)))))))
Compiler

Compiled 20 to 16 computations (20% saved)

simplify137.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 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)))))))
Rules
2056×sum4-define
2016×sum3-define
1660×fnmadd-define
1302×fma-define
1088×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01675
13767
28364
317864
438564
571464
6110864
7233064
8305064
9341864
10420064
11588864
12790664
0816264
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* 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
(+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
(+.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 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 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 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 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 (*.f64 x #s(literal 4481/100000 binary64)) #s(literal 99229/100000 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)

localize100.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.5%
(*.f64 x #s(literal 1913510371/10000000000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy74.7%
(/.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))))))
Results
76.0ms256×0valid
Compiler

Compiled 78 to 17 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
...c/correct-round.rkt:119:19: 27.0ms (64.7% of total)
ival-mult: 7.0ms (16.8% of total)
ival-add: 4.0ms (9.6% of total)
ival-div: 2.0ms (4.8% of total)
ival-sub: 1.0ms (2.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
6 → 72
Calls
Call 1
Inputs
#<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 -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 (* -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))))>
#<alt (* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))>
#<alt (* 1913510371/10000000000 x)>
#<alt (* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))>
#<alt (* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))>
#<alt (* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 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)>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ 16316775383/10000000000 (* x 1913510371/10000000000))
1.0ms
x
@inf
(+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
1.0ms
x
@-inf
(+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
0.0ms
x
@0
(+ (* x -70711/100000) (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (- 1 (* x (+ -99229/100000 (* x -4481/100000))))))
0.0ms
x
@-inf
(* x -70711/100000)

rewrite343.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4380×*-lowering-*.f32
4380×*-lowering-*.f64
2822×/-lowering-/.f32
2822×/-lowering-/.f64
2176×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01647
19742
292240
0880240
Stop Event
1×iter limit
1×node limit
Counts
6 → 174
Calls
Call 1
Inputs
(+ (* 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 -4481/100000)
(* x 1913510371/10000000000)
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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)))
(+.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 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (neg.f64 (/.f64 (/.f64 (+.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 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
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(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7006360205689680003640794811/1000000000000000000000000000000 binary64))) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64))) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x) #s(literal 31222318916647997093/100000000000000000000 binary64)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7006360205689680003640794811/1000000000000000000000000000000 binary64))) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x) #s(literal 31222318916647997093/100000000000000000000 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -266237158899274796689/100000000000000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -3661521939924557641/100000000000000000000 binary64))))) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -266237158899274796689/100000000000000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -3661521939924557641/100000000000000000000 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) #s(literal -266237158899274796689/100000000000000000000 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) (/.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) (/.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (*.f64 (/.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) (/.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) (/.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) (/.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))) (+.f64 (/.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) (/.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))
(*.f64 (+.f64 #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7006360205689680003640794811/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x) #s(literal 31222318916647997093/100000000000000000000 binary64))))))
(*.f64 (+.f64 #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7006360205689680003640794811/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 #s(literal -31222318916647997093/100000000000000000000 binary64) x)))))
(*.f64 (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -3661521939924557641/100000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7006360205689680003640794811/1000000000000000000000000000000 binary64))) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x) #s(literal 31222318916647997093/100000000000000000000 binary64)))))))
(*.f64 (+.f64 #s(literal -266237158899274796689/100000000000000000000 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -3661521939924557641/100000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64))))))
(*.f64 (+.f64 (*.f64 x (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 4344131920367546379167405106887/1000000000000000000000000000000 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 7006360205689680003640794811/1000000000000000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3661521939924557641/100000000000000000000 binary64) x) #s(literal 31222318916647997093/100000000000000000000 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -3661521939924557641/100000000000000000000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal 1913510371/10000000000 binary64)))))
(*.f64 x #s(literal -4481/100000 binary64))
(*.f64 #s(literal -4481/100000 binary64) x)
(*.f64 x #s(literal 1913510371/10000000000 binary64))
(*.f64 #s(literal 1913510371/10000000000 binary64) x)

simplify228.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
2034×*-lowering-*.f32
2034×*-lowering-*.f64
1674×--lowering--.f32
1674×--lowering--.f64
1544×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110392
1319361
2807353
32157333
47100333
08049333
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
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))))))
(* -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))))
(* -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 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(+.f64 (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x) (*.f64 x #s(literal -70711/100000 binary64)))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(+.f64 (/.f64 (-.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (-.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x)) x)) x) (*.f64 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 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(+.f64 (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x) (*.f64 x #s(literal -70711/100000 binary64)))
(* -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 1913510371/448100000 binary64) (/.f64 (-.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x)) x)) 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))
(* -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 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x)) 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) (/.f64 #s(literal -31633246848801948256268/1259939806776003125 binary64) x)) x) #s(literal -3648757816023/62748003125 binary64)) 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 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x)) 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)))
(* -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))

eval30.0ms (0.3%)

Compiler

Compiled 8817 to 669 computations (92.4% saved)

prune44.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2397246
Fresh000
Picked101
Done000
Total2407247
Accuracy
99.9%
Counts
247 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 (+.f64 (/.f64 (+.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 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (*.f64 #s(literal -5000045521/10000000000 binary64) (*.f64 x x))) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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))))
▶99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
▶55.1%
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
▶55.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
74.2%
(*.f64 (+.f64 (/.f64 (+.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 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (*.f64 #s(literal -5000045521/10000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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)))))
▶55.5%
(*.f64 x #s(literal -70711/100000 binary64))
▶47.8%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 324 to 188 computations (42% saved)

simplify24.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(/.f64 #s(literal 1913510371/448100000 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 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 x #s(literal -70711/100000 binary64))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
Rules
270×fma-define
224×fma-lowering-fma.f32
224×fma-lowering-fma.f64
154×*-lowering-*.f32
154×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026136
152127
295127
3134127
4160127
5197127
6228127
7282127
8375127
9408127
10411127
0411127
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))
1
(/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(* x -70711/100000)
x
-70711/100000
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(* x -1913510371/10000000000)
-1913510371/10000000000
-16316775383/10000000000
(+ (* 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
16316775383/10000000000
(* x -70711/100000)
x
-70711/100000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
16316775383/10000000000
(* -2134856267379707/1000000000000000 x)
-2134856267379707/1000000000000000
x
(+ (/ 1913510371/448100000 x) (* x -70711/100000))
(/ 1913510371/448100000 x)
1913510371/448100000
x
(* x -70711/100000)
-70711/100000
Outputs
(/ 1 (/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #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 (+ -99229/100000 (* x -4481/100000))) -1)
(+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #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
#s(literal -1 binary64)
16316775383/10000000000
#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 (* -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
(+ (/ 1913510371/448100000 x) (* x -70711/100000))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
x
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
-70711/100000
#s(literal -70711/100000 binary64)

localize170.0ms (1.9%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1913510371/448100000 binary64) x)
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 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)
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.4%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
✓accuracy74.7%
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
Results
131.0ms256×0valid
Compiler

Compiled 156 to 27 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
...c/correct-round.rkt:119:19: 46.0ms (62.6% of total)
ival-mult: 11.0ms (15% of total)
ival-add: 9.0ms (12.2% of total)
ival-div: 7.0ms (9.5% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))>
#<alt (/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))>
#<alt (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))>
#<alt (* x -70711/100000)>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (* -2134856267379707/1000000000000000 x)>
#<alt (+ (/ 1913510371/448100000 x) (* x -70711/100000))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))>
#<alt (* x -4481/100000)>
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 10000000000/16316775383>
#<alt (+ 10000000000/16316775383 (* 3019128943700000/3765144869953399 x))>
#<alt (+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* 473046097349267200000/868818474176356679447 x))))>
#<alt (+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* x (+ 473046097349267200000/868818474176356679447 (* 106019676174448837997700000/200482469371616832852433591 x))))))>
#<alt (/ -100000/70711 x)>
#<alt (* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2))))) x)>
#<alt (/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 15500546988850500000/6362265828301751 (/ 1 (pow x 4)))))) x)>
#<alt (/ -100000/70711 x)>
#<alt (* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) (/ 165123177600000/1419831695671 (pow x 3))) x))>
#<alt (* -1 (/ (+ 100000/70711 (+ (* -1 (/ (- 165123177600000/1419831695671 (* 15500546988850500000/6362265828301751 (/ 1 x))) (pow x 3))) (* 2706100000/316855991 (/ 1 (pow x 2))))) 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)>
#<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 (* -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 (* -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 (/ 1913510371/448100000 x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ 1913510371/448100000 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 (* -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)>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* -2134856267379707/1000000000000000 x)
0.0ms
x
@inf
(* -2134856267379707/1000000000000000 x)
0.0ms
x
@0
(/ 1913510371/448100000 x)
0.0ms
x
@0
(/ 1 (/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))
0.0ms
x
@-inf
(* -2134856267379707/1000000000000000 x)

rewrite389.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3498×/-lowering-/.f32
3498×/-lowering-/.f64
3028×*-lowering-*.f32
3028×*-lowering-*.f64
2136×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02686
115680
2134280
0816980
Stop Event
1×iter limit
1×node limit
Counts
10 → 329
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))))
(/ 1 (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))))
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(* x -70711/100000)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(* -2134856267379707/1000000000000000 x)
(+ (/ 1913510371/448100000 x) (* x -70711/100000))
(/ 1913510371/448100000 x)
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(* x -4481/100000)
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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)))
(+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (/.f64 #s(literal 1 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 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
(fma.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (/.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 x #s(literal -70711/100000 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (/.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 1 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
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(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -7006360205689680003640794811/1000000000000000000000000000000 binary64)) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (neg.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64))))
(pow.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 (+.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 (*.f64 x (*.f64 (+.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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 (+.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 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64))))))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (*.f64 (+.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)))))) #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (*.f64 (+.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)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -7006360205689680003640794811/1000000000000000000000000000000 binary64)) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -7006360205689680003640794811/1000000000000000000000000000000 binary64)) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 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 (+.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64))))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -7006360205689680003640794811/1000000000000000000000000000000 binary64)) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (+.f64 (*.f64 x (*.f64 (+.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)))))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 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 (+.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (+.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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64))))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (+.f64 (*.f64 x (*.f64 (+.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)))))) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64))) (/.f64 #s(literal 1 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 -4481/100000 binary64))
(*.f64 #s(literal -4481/100000 binary64) x)

simplify244.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
2420×+-lowering-+.f64
2420×+-lowering-+.f32
2312×*-lowering-*.f32
2312×*-lowering-*.f64
1568×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0158766
1459699
21229679
33360671
08233671
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
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))))))
10000000000/16316775383
(+ 10000000000/16316775383 (* 3019128943700000/3765144869953399 x))
(+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* 473046097349267200000/868818474176356679447 x))))
(+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* x (+ 473046097349267200000/868818474176356679447 (* 106019676174448837997700000/200482469371616832852433591 x))))))
(/ -100000/70711 x)
(* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))
(/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2))))) x)
(/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 15500546988850500000/6362265828301751 (/ 1 (pow x 4)))))) x)
(/ -100000/70711 x)
(* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) (/ 165123177600000/1419831695671 (pow x 3))) x))
(* -1 (/ (+ 100000/70711 (+ (* -1 (/ (- 165123177600000/1419831695671 (* 15500546988850500000/6362265828301751 (/ 1 x))) (pow x 3))) (* 2706100000/316855991 (/ 1 (pow x 2))))) 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 (* -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)
(/ 1913510371/448100000 x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 x)
(/ 1913510371/448100000 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))
(* -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)
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)))
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16316775383/10000000000
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16316775383/10000000000
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16316775383/10000000000
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(* -4481/100000 x)
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eval86.0ms (1%)

Compiler

Compiled 16812 to 1106 computations (93.4% saved)

prune52.0ms (0.6%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New4698477
Fresh202
Picked145
Done000
Total47212484
Accuracy
100.0%
Counts
484 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
29.4%
(/.f64 (-.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x)))
▶29.7%
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) x)
55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
▶73.6%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
▶47.1%
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
✓55.1%
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
✓55.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
74.0%
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
▶29.4%
(*.f64 (-.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
✓55.5%
(*.f64 x #s(literal -70711/100000 binary64))
✓47.8%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 388 to 228 computations (41.2% saved)

simplify175.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
✓cost-diff6400
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff27008
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff27264
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x))
✓cost-diff0
(-.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)))
✓cost-diff128
(*.f64 (-.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))
✓cost-diff0
(+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
✓cost-diff64
(pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Rules
1666×fma-define
1572×sum3-define
1496×sum5-define
1472×*-lowering-*.f32
1472×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043349
192312
2170310
3303310
4614309
51015309
61652309
72820309
85581309
08075309
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) 2)
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(* x -70711/100000)
x
-70711/100000
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(* x -1913510371/10000000000)
-1913510371/10000000000
-16316775383/10000000000
(+ (* 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
1/2
2
(/ 1 10000000000/16316775383)
1
10000000000/16316775383
(/ (+ 1913510371/448100000 (* x (* x -70711/100000))) x)
(+ 1913510371/448100000 (* x (* x -70711/100000)))
1913510371/448100000
(* x (* x -70711/100000))
x
(* x -70711/100000)
-70711/100000
(* (- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))
(- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000))
(/ 3661521939924557641/200793610000000000 (* x x))
3661521939924557641/200793610000000000
(* x x)
x
(* (* x x) 5000045521/10000000000)
5000045521/10000000000
(/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x)))
1
(+ (/ 1913510371/448100000 x) (* 70711/100000 x))
(/ 1913510371/448100000 x)
1913510371/448100000
(* 70711/100000 x)
70711/100000
(/ 1 (* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)))
1
(* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1))
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(* x -70711/100000)
x
-70711/100000
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(* x -1913510371/10000000000)
-1913510371/10000000000
-16316775383/10000000000
(+ (* 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
1/2
Outputs
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) 2)
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)
(sqrt.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #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 (+ -99229/100000 (* x -4481/100000))) -1)
(+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #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
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(/ 1 10000000000/16316775383)
#s(literal 16316775383/10000000000 binary64)
1
#s(literal 1 binary64)
10000000000/16316775383
#s(literal 10000000000/16316775383 binary64)
(/ (+ 1913510371/448100000 (* x (* x -70711/100000))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 #s(literal -70711/100000 binary64) (*.f64 x x))) x)
(+ 1913510371/448100000 (* x (* x -70711/100000)))
(+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 #s(literal -70711/100000 binary64) (*.f64 x x)))
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(* x (* x -70711/100000))
(*.f64 #s(literal -70711/100000 binary64) (*.f64 x x))
x
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
-70711/100000
#s(literal -70711/100000 binary64)
(* (- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))
(/.f64 (+.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64)))) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))
(- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000))
(+.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))))
(/ 3661521939924557641/200793610000000000 (* x x))
(/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x))
3661521939924557641/200793610000000000
#s(literal 3661521939924557641/200793610000000000 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) 5000045521/10000000000)
(*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64)))
5000045521/10000000000
#s(literal 5000045521/10000000000 binary64)
(/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))
1
#s(literal 1 binary64)
(+ (/ 1913510371/448100000 x) (* 70711/100000 x))
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(* 70711/100000 x)
(*.f64 x #s(literal 70711/100000 binary64))
70711/100000
#s(literal 70711/100000 binary64)
(/ 1 (* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1))
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)
(sqrt.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #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 (+ -99229/100000 (* x -4481/100000))) -1)
(+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #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
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)

localize325.0ms (3.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
✓accuracy99.2%
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64))))
✓accuracy85.0%
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x)))
✓accuracy99.6%
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
✓accuracy99.0%
(/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x))
✓accuracy64.5%
(*.f64 (-.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
✓accuracy100.0%
(+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))))
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))
✓accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy84.9%
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) x)
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
✓accuracy99.6%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy99.3%
(pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
✓accuracy99.1%
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy85.0%
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
Results
162.0ms192×0valid
55.0ms64×0invalid
Compiler

Compiled 447 to 43 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
...c/correct-round.rkt:119:19: 48.0ms (44.9% of total)
ival-mult: 21.0ms (19.6% of total)
ival-pow: 15.0ms (14% of total)
ival-div: 13.0ms (12.2% of total)
ival-add: 7.0ms (6.5% of total)
ival-sub: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.4%)

Counts
19 → 216
Calls
Call 1
Inputs
#<alt (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) 2)>
#<alt (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)>
#<alt (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))>
#<alt (* x -70711/100000)>
#<alt (/ 1 10000000000/16316775383)>
#<alt (/ (+ 1913510371/448100000 (* x (* x -70711/100000))) x)>
#<alt (+ 1913510371/448100000 (* x (* x -70711/100000)))>
#<alt (* x (* x -70711/100000))>
#<alt (* (- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))>
#<alt (- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000))>
#<alt (/ 3661521939924557641/200793610000000000 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)))>
#<alt (* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1))>
#<alt (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)>
#<alt (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))>
#<alt (* x -4481/100000)>
#<alt (* (* x x) 5000045521/10000000000)>
#<alt (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 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 (sqrt 16316775383/10000000000)>
#<alt (+ (sqrt 16316775383/10000000000) (* -2134856267379707/2000000000000000 (/ x (sqrt 16316775383/10000000000))))>
#<alt (+ (sqrt 16316775383/10000000000) (* x (- (* 1/2 (/ (* x (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2))))) (sqrt 16316775383/10000000000))) (* 2134856267379707/2000000000000000 (/ 1 (sqrt 16316775383/10000000000))))))>
#<alt (+ (sqrt 16316775383/10000000000) (* x (- (* x (+ (* -1/2 (/ (* x (+ 12692862305735843227608787/10000000000000000000000000 (* -2134856267379707/2000000000000000 (/ (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2)))) (pow (sqrt 16316775383/10000000000) 2))))) (sqrt 16316775383/10000000000))) (* 1/2 (/ (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2)))) (sqrt 16316775383/10000000000))))) (* 2134856267379707/2000000000000000 (/ 1 (sqrt 16316775383/10000000000))))))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* x (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000))))>
#<alt (* x (+ (* -3648757816023/125496006250 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -70711/100000)))) (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000)))))>
#<alt (* x (+ (* -3648757816023/125496006250 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -70711/100000)))) (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (+ (* 167633732206118446/281173802003125 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000))))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))>
#<alt (* -1 (* x (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 70711/100000)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1913510371/896200000 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* 3648757816023/125496006250 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 70711/100000))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1913510371/896200000 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* -1 (/ (+ (* -3648757816023/125496006250 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* 167633732206118446/281173802003125 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 70711/100000))))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))>
#<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 (* -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 (/ 1913510371/448100000 x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt 1913510371/448100000>
#<alt (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))>
#<alt (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))>
#<alt (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ (+ 3661521939924557641/200793610000000000 (* -5000045521/10000000000 (pow x 4))) (pow x 2))>
#<alt (/ (+ 3661521939924557641/200793610000000000 (* -5000045521/10000000000 (pow x 4))) (pow x 2))>
#<alt (/ (+ 3661521939924557641/200793610000000000 (* -5000045521/10000000000 (pow x 4))) (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))>
#<alt (* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))>
#<alt (* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))>
#<alt (* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))>
#<alt (* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (/ 3661521939924557641/200793610000000000 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 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 10000000000/16316775383>
#<alt (+ 10000000000/16316775383 (* 3019128943700000/3765144869953399 x))>
#<alt (+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* 473046097349267200000/868818474176356679447 x))))>
#<alt (+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* x (+ 473046097349267200000/868818474176356679447 (* 106019676174448837997700000/200482469371616832852433591 x))))))>
#<alt (/ -100000/70711 x)>
#<alt (* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2))))) x)>
#<alt (/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 15500546988850500000/6362265828301751 (/ 1 (pow x 4)))))) x)>
#<alt (/ -100000/70711 x)>
#<alt (* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) (/ 165123177600000/1419831695671 (pow x 3))) x))>
#<alt (* -1 (/ (+ 100000/70711 (+ (* -1 (/ (- 165123177600000/1419831695671 (* 15500546988850500000/6362265828301751 (/ 1 x))) (pow x 3))) (* 2706100000/316855991 (/ 1 (pow x 2))))) x))>
#<alt (sqrt 10000000000/16316775383)>
#<alt (+ (sqrt 10000000000/16316775383) (* 1509564471850000/3765144869953399 (/ x (sqrt 10000000000/16316775383))))>
#<alt (+ (sqrt 10000000000/16316775383) (* x (+ (* 1/2 (/ (* x (- 473046097349267200000/868818474176356679447 (* 2278784894671769442422500000000/14176315891736397867828431653201 (/ 1 (pow (sqrt 10000000000/16316775383) 2))))) (sqrt 10000000000/16316775383))) (* 1509564471850000/3765144869953399 (/ 1 (sqrt 10000000000/16316775383))))))>
#<alt (+ (sqrt 10000000000/16316775383) (* x (+ (* x (+ (* 1/2 (/ (* x (- 106019676174448837997700000/200482469371616832852433591 (* 1509564471850000/3765144869953399 (/ (- 473046097349267200000/868818474176356679447 (* 2278784894671769442422500000000/14176315891736397867828431653201 (/ 1 (pow (sqrt 10000000000/16316775383) 2)))) (pow (sqrt 10000000000/16316775383) 2))))) (sqrt 10000000000/16316775383))) (* 1/2 (/ (- 473046097349267200000/868818474176356679447 (* 2278784894671769442422500000000/14176315891736397867828431653201 (/ 1 (pow (sqrt 10000000000/16316775383) 2)))) (sqrt 10000000000/16316775383))))) (* 1509564471850000/3765144869953399 (/ 1 (sqrt 10000000000/16316775383))))))>
#<alt (* (sqrt (/ 1 x)) (sqrt -100000/70711))>
#<alt (+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711)))>
#<alt (+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (+ (* 82561588800000/1419831695671 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711))))>
#<alt (+ (* -7750273494425250000/6362265828301751 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -100000/70711)))) (+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (+ (* 82561588800000/1419831695671 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711)))))>
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711)))>
#<alt (+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 100000/70711)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))>
#<alt (+ (* -1 (/ (+ (* -82561588800000/1419831695671 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 100000/70711)))) (* 1353050000/316855991 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -7750273494425250000/6362265828301751 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 100000/70711)))) (* 82561588800000/1419831695671 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) x)) (* 1353050000/316855991 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))>
#<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 (* -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 (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 5000045521/10000000000 (pow x 2))>
#<alt (* 448100000/1913510371 x)>
#<alt (* x (+ 448100000/1913510371 (* -2007936100000/51781504149631 (pow x 2))))>
#<alt (* x (+ 448100000/1913510371 (* (pow x 2) (- (* 8997561664100000/1401259283793164491 (pow x 2)) 2007936100000/51781504149631))))>
#<alt (* x (+ 448100000/1913510371 (* (pow x 2) (- (* (pow x 2) (+ 8997561664100000/1401259283793164491 (* -40318073816832100000/37919477478726824290951 (pow x 2)))) 2007936100000/51781504149631))))>
#<alt (/ 100000/70711 x)>
#<alt (/ (- 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (* 2706100000/316855991 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6))))) x)>
#<alt (/ 100000/70711 x)>
#<alt (* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) 100000/70711) x))>
#<alt (* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6)))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (* x x) 5000045521/10000000000)
1.0ms
x
@-inf
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)
1.0ms
x
@0
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)
1.0ms
x
@-inf
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)
1.0ms
x
@0
(* (- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))

rewrite423.0ms (4.7%)

Algorithm
1×batch-egg-rewrite
Rules
3578×*-lowering-*.f32
3578×*-lowering-*.f64
2864×/-lowering-/.f32
2864×/-lowering-/.f64
1652×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043190
1250162
22107160
08483160
Stop Event
1×iter limit
1×node limit
Counts
19 → 709
Calls
Call 1
Inputs
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) 2)
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2)
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(* x -70711/100000)
(/ 1 10000000000/16316775383)
(/ (+ 1913510371/448100000 (* x (* x -70711/100000))) x)
(+ 1913510371/448100000 (* x (* x -70711/100000)))
(* x (* x -70711/100000))
(* (- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))
(- (/ 3661521939924557641/200793610000000000 (* x x)) (* (* x x) 5000045521/10000000000))
(/ 3661521939924557641/200793610000000000 (* x x))
(* x x)
(/ 1 (* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)))
(* (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1) (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1))
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) 1/2) -1)
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(* x -4481/100000)
(* (* x x) 5000045521/10000000000)
(/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x)))
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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)))
(exp.f64 (log.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
(fabs.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (neg.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (/.f64 (/.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)))) (-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(sqrt.f64 (*.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 #s(literal 16316775383/10000000000 binary64) (neg.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)))) (/.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 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))
(fma.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))) (-.f64 (+.f64 (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) #s(literal 1 binary64)) (*.f64 x (*.f64 (+.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 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) #s(literal -1 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)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))))
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(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))) (-.f64 (+.f64 (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) #s(literal 1 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))) #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -7006360205689680003640794811/1000000000000000000000000000000 binary64)) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64))))
(*.f64 x #s(literal -4481/100000 binary64))
(*.f64 #s(literal -4481/100000 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -70711/100000 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 70711/100000 binary64))) #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 70711/100000 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 5000045521/10000000000 binary64)))
(*.f64 x (*.f64 #s(literal 70711/100000 binary64) (*.f64 x #s(literal 70711/100000 binary64))))
(*.f64 x (*.f64 #s(literal -70711/100000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
(*.f64 #s(literal -70711/100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))))
(*.f64 (*.f64 x #s(literal -70711/100000 binary64)) (*.f64 x #s(literal -70711/100000 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) #s(literal -70711/100000 binary64))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(*.f64 #s(literal 5000045521/10000000000 binary64) (*.f64 x x))
(*.f64 #s(literal 70711/100000 binary64) (*.f64 x (*.f64 x #s(literal 70711/100000 binary64))))
(*.f64 (*.f64 x #s(literal 70711/100000 binary64)) (*.f64 x #s(literal 70711/100000 binary64)))
(*.f64 (*.f64 x #s(literal 5000045521/10000000000 binary64)) x)
(*.f64 (*.f64 (*.f64 x #s(literal 70711/100000 binary64)) x) #s(literal 70711/100000 binary64))
(*.f64 (*.f64 (*.f64 x #s(literal 70711/100000 binary64)) #s(literal 70711/100000 binary64)) x)
(*.f64 (*.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal -70711/100000 binary64)) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))))
(pow.f64 (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 7006360205689680003640794811/89975616641000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353558218835431/1000000000000000 binary64)))) (+.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 70711/100000 binary64)) (-.f64 (*.f64 x #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1913510371/448100000 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 7006360205689680003640794811/89975616641000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 353558218835431/1000000000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 70711/100000 binary64)) (-.f64 (*.f64 x #s(literal 70711/100000 binary64)) (/.f64 #s(literal 1913510371/448100000 binary64) x))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -5000045521/10000000000 binary64)))) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -5000045521/10000000000 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))) #s(literal -1 binary64)))

simplify362.0ms (4%)

Algorithm
1×egg-herbie
Rules
5512×*-lowering-*.f32
5512×*-lowering-*.f64
2612×+-lowering-+.f64
2612×+-lowering-+.f32
1688×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03892012
111531725
234731689
081741689
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))))))
(sqrt 16316775383/10000000000)
(+ (sqrt 16316775383/10000000000) (* -2134856267379707/2000000000000000 (/ x (sqrt 16316775383/10000000000))))
(+ (sqrt 16316775383/10000000000) (* x (- (* 1/2 (/ (* x (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2))))) (sqrt 16316775383/10000000000))) (* 2134856267379707/2000000000000000 (/ 1 (sqrt 16316775383/10000000000))))))
(+ (sqrt 16316775383/10000000000) (* x (- (* x (+ (* -1/2 (/ (* x (+ 12692862305735843227608787/10000000000000000000000000 (* -2134856267379707/2000000000000000 (/ (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2)))) (pow (sqrt 16316775383/10000000000) 2))))) (sqrt 16316775383/10000000000))) (* 1/2 (/ (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2)))) (sqrt 16316775383/10000000000))))) (* 2134856267379707/2000000000000000 (/ 1 (sqrt 16316775383/10000000000))))))
(* (sqrt x) (sqrt -70711/100000))
(* x (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000))))
(* x (+ (* -3648757816023/125496006250 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -70711/100000)))) (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000)))))
(* x (+ (* -3648757816023/125496006250 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -70711/100000)))) (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (+ (* 167633732206118446/281173802003125 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))
(* -1 (* x (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 70711/100000)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1913510371/896200000 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* 3648757816023/125496006250 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 70711/100000))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))
(* -1 (* x (+ (* -1 (/ (+ (* -1913510371/896200000 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* -1 (/ (+ (* -3648757816023/125496006250 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* 167633732206118446/281173802003125 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 70711/100000))))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))
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)
(/ 1913510371/448100000 x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
1913510371/448100000
(+ 1913510371/448100000 (* -70711/100000 (pow x 2)))
(+ 1913510371/448100000 (* -70711/100000 (pow x 2)))
(+ 1913510371/448100000 (* -70711/100000 (pow x 2)))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(/ 1913510371/448100000 x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ (+ 3661521939924557641/200793610000000000 (* -5000045521/10000000000 (pow x 4))) (pow x 2))
(/ (+ 3661521939924557641/200793610000000000 (* -5000045521/10000000000 (pow x 4))) (pow x 2))
(/ (+ 3661521939924557641/200793610000000000 (* -5000045521/10000000000 (pow x 4))) (pow x 2))
(* -5000045521/10000000000 (pow x 2))
(* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))
(* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))
(* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))
(* -5000045521/10000000000 (pow x 2))
(* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))
(* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))
(* (pow x 2) (- (* 3661521939924557641/200793610000000000 (/ 1 (pow x 4))) 5000045521/10000000000))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (pow x 2))
(/ 3661521939924557641/200793610000000000 (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 (* -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))))))
10000000000/16316775383
(+ 10000000000/16316775383 (* 3019128943700000/3765144869953399 x))
(+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* 473046097349267200000/868818474176356679447 x))))
(+ 10000000000/16316775383 (* x (+ 3019128943700000/3765144869953399 (* x (+ 473046097349267200000/868818474176356679447 (* 106019676174448837997700000/200482469371616832852433591 x))))))
(/ -100000/70711 x)
(* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))
(/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2))))) x)
(/ (- (/ 165123177600000/1419831695671 (pow x 3)) (+ 100000/70711 (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 15500546988850500000/6362265828301751 (/ 1 (pow x 4)))))) x)
(/ -100000/70711 x)
(* -1 (/ (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) (/ 165123177600000/1419831695671 (pow x 3))) x))
(* -1 (/ (+ 100000/70711 (+ (* -1 (/ (- 165123177600000/1419831695671 (* 15500546988850500000/6362265828301751 (/ 1 x))) (pow x 3))) (* 2706100000/316855991 (/ 1 (pow x 2))))) x))
(sqrt 10000000000/16316775383)
(+ (sqrt 10000000000/16316775383) (* 1509564471850000/3765144869953399 (/ x (sqrt 10000000000/16316775383))))
(+ (sqrt 10000000000/16316775383) (* x (+ (* 1/2 (/ (* x (- 473046097349267200000/868818474176356679447 (* 2278784894671769442422500000000/14176315891736397867828431653201 (/ 1 (pow (sqrt 10000000000/16316775383) 2))))) (sqrt 10000000000/16316775383))) (* 1509564471850000/3765144869953399 (/ 1 (sqrt 10000000000/16316775383))))))
(+ (sqrt 10000000000/16316775383) (* x (+ (* x (+ (* 1/2 (/ (* x (- 106019676174448837997700000/200482469371616832852433591 (* 1509564471850000/3765144869953399 (/ (- 473046097349267200000/868818474176356679447 (* 2278784894671769442422500000000/14176315891736397867828431653201 (/ 1 (pow (sqrt 10000000000/16316775383) 2)))) (pow (sqrt 10000000000/16316775383) 2))))) (sqrt 10000000000/16316775383))) (* 1/2 (/ (- 473046097349267200000/868818474176356679447 (* 2278784894671769442422500000000/14176315891736397867828431653201 (/ 1 (pow (sqrt 10000000000/16316775383) 2)))) (sqrt 10000000000/16316775383))))) (* 1509564471850000/3765144869953399 (/ 1 (sqrt 10000000000/16316775383))))))
(* (sqrt (/ 1 x)) (sqrt -100000/70711))
(+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711)))
(+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (+ (* 82561588800000/1419831695671 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711))))
(+ (* -7750273494425250000/6362265828301751 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -100000/70711)))) (+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (+ (* 82561588800000/1419831695671 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711)))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711)))
(+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 100000/70711)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))
(+ (* -1 (/ (+ (* -82561588800000/1419831695671 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 100000/70711)))) (* 1353050000/316855991 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -7750273494425250000/6362265828301751 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 100000/70711)))) (* 82561588800000/1419831695671 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) x)) (* 1353050000/316855991 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))
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))
(* -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)
(* 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))
(* 448100000/1913510371 x)
(* x (+ 448100000/1913510371 (* -2007936100000/51781504149631 (pow x 2))))
(* x (+ 448100000/1913510371 (* (pow x 2) (- (* 8997561664100000/1401259283793164491 (pow x 2)) 2007936100000/51781504149631))))
(* x (+ 448100000/1913510371 (* (pow x 2) (- (* (pow x 2) (+ 8997561664100000/1401259283793164491 (* -40318073816832100000/37919477478726824290951 (pow x 2)))) 2007936100000/51781504149631))))
(/ 100000/70711 x)
(/ (- 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x)
(/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (* 2706100000/316855991 (/ 1 (pow x 2)))) x)
(/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6))))) x)
(/ 100000/70711 x)
(* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) 100000/70711) x))
(* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))
(* -1 (/ (- (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6)))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) 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 (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x))) (/.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))
(sqrt 16316775383/10000000000)
(sqrt.f64 #s(literal 16316775383/10000000000 binary64))
(+ (sqrt 16316775383/10000000000) (* -2134856267379707/2000000000000000 (/ x (sqrt 16316775383/10000000000))))
(+.f64 (sqrt.f64 #s(literal 16316775383/10000000000 binary64)) (*.f64 x (/.f64 #s(literal -2134856267379707/2000000000000000 binary64) (sqrt.f64 #s(literal 16316775383/10000000000 binary64)))))
(+ (sqrt 16316775383/10000000000) (* x (- (* 1/2 (/ (* x (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2))))) (sqrt 16316775383/10000000000))) (* 2134856267379707/2000000000000000 (/ 1 (sqrt 16316775383/10000000000))))))
(+.f64 (sqrt.f64 #s(literal 16316775383/10000000000 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal -2134856267379707/2000000000000000 binary64) (sqrt.f64 #s(literal 16316775383/10000000000 binary64))) (/.f64 (*.f64 x #s(literal 59563940065906454934964877/184602400000000000000000000 binary64)) (sqrt.f64 #s(literal 16316775383/10000000000 binary64))))))
(+ (sqrt 16316775383/10000000000) (* x (- (* x (+ (* -1/2 (/ (* x (+ 12692862305735843227608787/10000000000000000000000000 (* -2134856267379707/2000000000000000 (/ (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2)))) (pow (sqrt 16316775383/10000000000) 2))))) (sqrt 16316775383/10000000000))) (* 1/2 (/ (- 134362287316698645903/100000000000000000000 (* 4557611282370415026291715405849/4000000000000000000000000000000 (/ 1 (pow (sqrt 16316775383/10000000000) 2)))) (sqrt 16316775383/10000000000))))) (* 2134856267379707/2000000000000000 (/ 1 (sqrt 16316775383/10000000000))))))
(+.f64 (sqrt.f64 #s(literal 16316775383/10000000000 binary64)) (*.f64 x (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -721707435630099474406242248887608083/1703902304288000000000000000000000000 binary64)) (sqrt.f64 #s(literal 16316775383/10000000000 binary64))) (/.f64 #s(literal 59563940065906454934964877/184602400000000000000000000 binary64) (sqrt.f64 #s(literal 16316775383/10000000000 binary64))))) (/.f64 #s(literal -2134856267379707/2000000000000000 binary64) (sqrt.f64 #s(literal 16316775383/10000000000 binary64))))))
(* (sqrt x) (sqrt -70711/100000))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -70711/100000 binary64)))
(* x (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1913510371/896200000 binary64) (sqrt.f64 #s(literal -70711/100000 binary64)))) (*.f64 (sqrt.f64 #s(literal -70711/100000 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(* x (+ (* -3648757816023/125496006250 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -70711/100000)))) (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000)))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 #s(literal -70711/100000 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -70711/100000 binary64))) (+.f64 (*.f64 #s(literal 1913510371/896200000 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -3648757816023/125496006250 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))))
(* x (+ (* -3648757816023/125496006250 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -70711/100000)))) (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -70711/100000)))) (+ (* 167633732206118446/281173802003125 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -70711/100000)))) (* (sqrt (/ 1 x)) (sqrt -70711/100000))))))
(*.f64 x (+.f64 (*.f64 (sqrt.f64 #s(literal -70711/100000 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -70711/100000 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 1913510371/896200000 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal -3648757816023/125496006250 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 #s(literal 167633732206118446/281173802003125 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))))))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal 70711/100000 binary64)))))
(* -1 (* x (+ (* 1913510371/896200000 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 70711/100000)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))
(*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1913510371/896200000 binary64) (sqrt.f64 #s(literal 70711/100000 binary64)))) (*.f64 (sqrt.f64 #s(literal 70711/100000 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ (* -1913510371/896200000 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* 3648757816023/125496006250 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 70711/100000))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal 70711/100000 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 70711/100000 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3648757816023/125496006250 binary64)) (*.f64 (sqrt.f64 x) #s(literal -1913510371/896200000 binary64)))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (* -1 (/ (+ (* -1913510371/896200000 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* -1 (/ (+ (* -3648757816023/125496006250 (* (sqrt x) (/ (sqrt -1) (sqrt 70711/100000)))) (* 167633732206118446/281173802003125 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 70711/100000))))) x))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 70711/100000))))))
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal 70711/100000 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 70711/100000 binary64))) (*.f64 (sqrt.f64 x) #s(literal -1913510371/896200000 binary64))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 70711/100000 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 167633732206118446/281173802003125 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3648757816023/125496006250 binary64)))) x)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
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 (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x))) (/.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))
(* -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)
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1913510371/448100000
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16316775383/10000000000
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10000000000/16316775383
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(+.f64 (sqrt.f64 #s(literal 10000000000/16316775383 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 1509564471850000/3765144869953399 binary64) (sqrt.f64 #s(literal 10000000000/16316775383 binary64))) (*.f64 x (+.f64 (*.f64 x (/.f64 #s(literal 55208036098978632477601655976453/320771950994586932563893745600000 binary64) (sqrt.f64 #s(literal 10000000000/16316775383 binary64)))) (/.f64 #s(literal 980670431528361023031/6950547793410853435576 binary64) (sqrt.f64 #s(literal 10000000000/16316775383 binary64))))))))
(* (sqrt (/ 1 x)) (sqrt -100000/70711))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -100000/70711 binary64)))
(+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -100000/70711 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal -1353050000/316855991 binary64) (sqrt.f64 #s(literal -100000/70711 binary64)))))
(+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (+ (* 82561588800000/1419831695671 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -100000/70711 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -100000/70711 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1353050000/316855991 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 82561588800000/1419831695671 binary64)))))
(+ (* -7750273494425250000/6362265828301751 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -100000/70711)))) (+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -100000/70711)))) (+ (* 82561588800000/1419831695671 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -100000/70711)))) (* (sqrt (/ 1 x)) (sqrt -100000/70711)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -100000/70711 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -100000/70711 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal -7750273494425250000/6362265828301751 binary64)) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1353050000/316855991 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 82561588800000/1419831695671 binary64))))))
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711)))
(*.f64 (sqrt.f64 #s(literal 100000/70711 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1353050000/316855991 (* (sqrt (/ 1 (pow x 5))) (/ (sqrt -1) (sqrt 100000/70711)))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 100000/70711 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1353050000/316855991 binary64) (sqrt.f64 #s(literal 100000/70711 binary64)))))
(+ (* -1 (/ (+ (* -82561588800000/1419831695671 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 100000/70711)))) (* 1353050000/316855991 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 100000/70711 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 100000/70711 binary64))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -82561588800000/1419831695671 binary64)) (*.f64 (sqrt.f64 x) #s(literal 1353050000/316855991 binary64)))) (*.f64 x (*.f64 x x))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -7750273494425250000/6362265828301751 (* (sqrt (/ 1 x)) (/ (sqrt -1) (sqrt 100000/70711)))) (* 82561588800000/1419831695671 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) x)) (* 1353050000/316855991 (* (sqrt x) (/ (sqrt -1) (sqrt 100000/70711))))) (pow x 3))) (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt 100000/70711))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 100000/70711 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1353050000/316855991 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 100000/70711 binary64))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 100000/70711 binary64))) (+.f64 (*.f64 (sqrt.f64 x) #s(literal 82561588800000/1419831695671 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -7750273494425250000/6362265828301751 binary64)))) x)) (*.f64 x (*.f64 x 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)
(/.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 (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)) x) #s(literal -1913510371/448100000 binary64)) (-.f64 #s(literal 0 binary64) 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 #s(literal -3648757816023/62748003125 binary64) (/.f64 (+.f64 (/.f64 #s(literal 31633246848801948256268/1259939806776003125 binary64) x) #s(literal -335267464412236892/281173802003125 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -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))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 5000045521/10000000000 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))
(* 448100000/1913510371 x)
(*.f64 x #s(literal 448100000/1913510371 binary64))
(* x (+ 448100000/1913510371 (* -2007936100000/51781504149631 (pow x 2))))
(*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (*.f64 x (*.f64 x #s(literal -2007936100000/51781504149631 binary64)))))
(* x (+ 448100000/1913510371 (* (pow x 2) (- (* 8997561664100000/1401259283793164491 (pow x 2)) 2007936100000/51781504149631))))
(*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2007936100000/51781504149631 binary64) (*.f64 (*.f64 x x) #s(literal 8997561664100000/1401259283793164491 binary64))))))
(* x (+ 448100000/1913510371 (* (pow x 2) (- (* (pow x 2) (+ 8997561664100000/1401259283793164491 (* -40318073816832100000/37919477478726824290951 (pow x 2)))) 2007936100000/51781504149631))))
(*.f64 x (+.f64 #s(literal 448100000/1913510371 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -2007936100000/51781504149631 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 8997561664100000/1401259283793164491 binary64) (*.f64 (*.f64 x x) #s(literal -40318073816832100000/37919477478726824290951 binary64))))))))
(/ 100000/70711 x)
(/.f64 #s(literal 100000/70711 binary64) x)
(/ (- 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 100000/70711 binary64) (/.f64 #s(literal -2706100000/316855991 binary64) (*.f64 x x))) x)
(/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (* 2706100000/316855991 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 100000/70711 binary64) (/.f64 #s(literal -2706100000/316855991 binary64) (*.f64 x x))) (/.f64 #s(literal 73229772100000/1419831695671 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 73229772100000/1419831695671 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 100000/70711 binary64) (/.f64 #s(literal -1981670862798100000/6362265828301751 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -2706100000/316855991 binary64) (*.f64 x x)))) x)
(/ 100000/70711 x)
(/.f64 #s(literal 100000/70711 binary64) x)
(* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) 100000/70711) x))
(/.f64 (+.f64 #s(literal 100000/70711 binary64) (/.f64 #s(literal -2706100000/316855991 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 100000/70711 binary64) (/.f64 #s(literal -2706100000/316855991 binary64) (*.f64 x x))) (/.f64 #s(literal 73229772100000/1419831695671 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6)))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 73229772100000/1419831695671 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 100000/70711 binary64) (/.f64 #s(literal -1981670862798100000/6362265828301751 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -2706100000/316855991 binary64) (*.f64 x x)))) x)

eval258.0ms (2.9%)

Compiler

Compiled 65527 to 3384 computations (94.8% saved)

prune268.0ms (3%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New147071477
Fresh123
Picked415
Done044
Total1475141489
Accuracy
100.0%
Counts
1489 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
▶73.9%
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
▶30.0%
(pow.f64 (pow.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
29.4%
(/.f64 (-.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x)))
▶29.6%
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) x)
30.0%
(/.f64 (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) x)
▶55.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
✓47.1%
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
✓55.1%
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
✓55.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))))
▶29.6%
(*.f64 (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
✓55.5%
(*.f64 x #s(literal -70711/100000 binary64))
✓47.8%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 280 to 216 computations (22.9% saved)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff64
(pow.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x)))
✓cost-diff0
(*.f64 x #s(literal -5000045521/10000000000 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64)))
✓cost-diff128
(*.f64 (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) x)
✓cost-diff0
(/.f64 #s(literal -100000/70711 binary64) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
✓cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
✓cost-diff0
(pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/4 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
Rules
196×*-lowering-*.f32
196×*-lowering-*.f64
124×fma-define
118×fma-lowering-fma.f32
118×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042201
180188
2140188
3215188
4303188
5329188
6330188
0330188
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4) -4)
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4)
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(* x -70711/100000)
x
-70711/100000
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(* x -1913510371/10000000000)
-1913510371/10000000000
-16316775383/10000000000
(+ (* 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
-1/4
-4
(/ 1 (/ -100000/70711 x))
1
(/ -100000/70711 x)
-100000/70711
x
(/ (+ 1913510371/448100000 (* (* x x) -70711/100000)) x)
(+ 1913510371/448100000 (* (* x x) -70711/100000))
1913510371/448100000
(* (* x x) -70711/100000)
(* x x)
x
-70711/100000
(* (* x (* x -5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))
(* x (* x -5000045521/10000000000))
x
(* x -5000045521/10000000000)
-5000045521/10000000000
(/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x)))
1
(+ (/ 1913510371/448100000 x) (* 70711/100000 x))
(/ 1913510371/448100000 x)
1913510371/448100000
(* 70711/100000 x)
70711/100000
(pow (pow (* x -70711/100000) 1/2) 2)
(pow (* x -70711/100000) 1/2)
(* x -70711/100000)
x
-70711/100000
1/2
2
Outputs
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4) -4)
(pow.f64 (pow.f64 (+.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4)
(pow.f64 (+.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/4 binary64))
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(+.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(* x -70711/100000)
(/.f64 x #s(literal -100000/70711 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
(+ (* x -1913510371/10000000000) -16316775383/10000000000)
(+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #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 (+ -99229/100000 (* x -4481/100000))) -1)
(+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #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
#s(literal -1 binary64)
-1/4
#s(literal -1/4 binary64)
-4
#s(literal -4 binary64)
(/ 1 (/ -100000/70711 x))
(/.f64 x #s(literal -100000/70711 binary64))
1
#s(literal 1 binary64)
(/ -100000/70711 x)
(/.f64 #s(literal -100000/70711 binary64) x)
-100000/70711
#s(literal -100000/70711 binary64)
x
(/ (+ 1913510371/448100000 (* (* x x) -70711/100000)) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (*.f64 x x) #s(literal -100000/70711 binary64))) x)
(+ 1913510371/448100000 (* (* x x) -70711/100000))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (*.f64 x x) #s(literal -100000/70711 binary64)))
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(* (* x x) -70711/100000)
(/.f64 (*.f64 x x) #s(literal -100000/70711 binary64))
(* x x)
(*.f64 x x)
x
-70711/100000
#s(literal -70711/100000 binary64)
(* (* x (* x -5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))
(/.f64 (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))
(* x (* x -5000045521/10000000000))
(*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64)))
x
(* x -5000045521/10000000000)
(*.f64 x #s(literal -5000045521/10000000000 binary64))
-5000045521/10000000000
#s(literal -5000045521/10000000000 binary64)
(/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64))))
1
#s(literal 1 binary64)
(+ (/ 1913510371/448100000 x) (* 70711/100000 x))
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(* 70711/100000 x)
(*.f64 x #s(literal 70711/100000 binary64))
70711/100000
#s(literal 70711/100000 binary64)
(pow (pow (* x -70711/100000) 1/2) 2)
(/.f64 x #s(literal -100000/70711 binary64))
(pow (* x -70711/100000) 1/2)
(sqrt.f64 (/.f64 x #s(literal -100000/70711 binary64)))
(* x -70711/100000)
(/.f64 x #s(literal -100000/70711 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)

localize290.0ms (3.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(pow.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(*.f64 x #s(literal -70711/100000 binary64))
✓accuracy99.5%
(pow.f64 (pow.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x)))
✓accuracy99.3%
(*.f64 x #s(literal -5000045521/10000000000 binary64))
✓accuracy85.0%
(*.f64 (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
✓accuracy100.0%
(+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))
✓accuracy85.0%
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) x)
✓accuracy99.9%
(/.f64 #s(literal -100000/70711 binary64) x)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
✓accuracy99.7%
(*.f64 x #s(literal -4481/100000 binary64))
✓accuracy99.7%
(*.f64 x #s(literal -1913510371/10000000000 binary64))
✓accuracy99.2%
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
✓accuracy85.0%
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
Results
144.0ms137×0valid
94.0ms119×0invalid
Compiler

Compiled 231 to 43 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
...c/correct-round.rkt:119:19: 62.0ms (43.8% of total)
ival-mult: 41.0ms (29% of total)
ival-pow: 18.0ms (12.7% of total)
ival-div: 11.0ms (7.8% of total)
ival-add: 7.0ms (4.9% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4) -4)>
#<alt (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4)>
#<alt (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))>
#<alt (* x -70711/100000)>
#<alt (/ 1 (/ -100000/70711 x))>
#<alt (/ -100000/70711 x)>
#<alt (/ (+ 1913510371/448100000 (* (* x x) -70711/100000)) x)>
#<alt (+ 1913510371/448100000 (* (* x x) -70711/100000))>
#<alt (* (* x x) -70711/100000)>
#<alt (* x x)>
#<alt (* (* x (* x -5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))>
#<alt (* x (* x -5000045521/10000000000))>
#<alt (* x -5000045521/10000000000)>
#<alt (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x)))>
#<alt (pow (pow (* x -70711/100000) 1/2) 2)>
#<alt (pow (* x -70711/100000) 1/2)>
#<alt (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))>
#<alt (* x -1913510371/10000000000)>
#<alt (* x -4481/100000)>
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 (pow 10000000000/16316775383 1/4)>
#<alt (+ (* 30191289437/92301200000 (* (pow 10000000000/16316775383 1/4) x)) (pow 10000000000/16316775383 1/4))>
#<alt (+ (* x (+ (* 1049826905188014269093/17039023042880000000000 (* (pow 10000000000/16316775383 1/4) x)) (* 30191289437/92301200000 (pow 10000000000/16316775383 1/4)))) (pow 10000000000/16316775383 1/4))>
#<alt (+ (* x (+ (* 30191289437/92301200000 (pow 10000000000/16316775383 1/4)) (* x (+ (* 1049826905188014269093/17039023042880000000000 (pow 10000000000/16316775383 1/4)) (* 189136516442633234208933857435171/1572722273685475456000000000000000 (* (pow 10000000000/16316775383 1/4) x)))))) (pow 10000000000/16316775383 1/4))>
#<alt (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x)))))>
#<alt (+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2))))>
#<alt (+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2)))))>
#<alt (+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 3))) (+ (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2))) (* 1230199480844637/2879219732512 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 4))))))>
#<alt (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x)))))>
#<alt (+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2))))>
#<alt (+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2)))))>
#<alt (+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (+ (* -1 (/ (+ (* -1230199480844637/2879219732512 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) x)) (* 412807944/20079361 (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2)))))>
#<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 (* -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 (* -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 (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ -100000/70711 x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt 1913510371/448100000>
#<alt (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))>
#<alt (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))>
#<alt (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -316855991/2706100000 (pow x 3))>
#<alt (* (pow x 3) (- (* 1419831695671/73229772100000 (pow x 2)) 316855991/2706100000))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1419831695671/73229772100000 (* -6362265828301751/1981670862798100000 (pow x 2)))) 316855991/2706100000))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 1419831695671/73229772100000 (* (pow x 2) (- (* 28509313176620146231/53625995218179384100000 (pow x 2)) 6362265828301751/1981670862798100000)))) 316855991/2706100000))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 1401259283793164491/8997561664100000 (/ 1 (pow x 6)))) (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4))) (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 1401259283793164491/8997561664100000 (/ 1 (pow x 6)))))))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 (pow x 2))>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* -5000045521/10000000000 x)>
#<alt (* 448100000/1913510371 x)>
#<alt (* x (+ 448100000/1913510371 (* -2007936100000/51781504149631 (pow x 2))))>
#<alt (* x (+ 448100000/1913510371 (* (pow x 2) (- (* 8997561664100000/1401259283793164491 (pow x 2)) 2007936100000/51781504149631))))>
#<alt (* x (+ 448100000/1913510371 (* (pow x 2) (- (* (pow x 2) (+ 8997561664100000/1401259283793164491 (* -40318073816832100000/37919477478726824290951 (pow x 2)))) 2007936100000/51781504149631))))>
#<alt (/ 100000/70711 x)>
#<alt (/ (- 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (* 2706100000/316855991 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6))))) x)>
#<alt (/ 100000/70711 x)>
#<alt (* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) 100000/70711) x))>
#<alt (* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6)))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* x (pow (sqrt -70711/100000) 2))>
#<alt (* -1 (* x (pow (sqrt 70711/100000) 2)))>
#<alt (* -1 (* x (pow (sqrt 70711/100000) 2)))>
#<alt (* -1 (* x (pow (sqrt 70711/100000) 2)))>
#<alt (* -1 (* x (pow (sqrt 70711/100000) 2)))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* (sqrt x) (sqrt -70711/100000))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))>
#<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 (* -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 (* -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)>
Calls

57 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow (pow (* x -70711/100000) 1/2) 2)
1.0ms
x
@-inf
(pow (pow (* x -70711/100000) 1/2) 2)
1.0ms
x
@inf
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4)
1.0ms
x
@-inf
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4)
1.0ms
x
@0
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4)

rewrite132.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1072×*-lowering-*.f32
1072×*-lowering-*.f64
734×/-lowering-/.f32
734×/-lowering-/.f64
382×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042136
1235124
01945124
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
19 → 327
Calls
Call 1
Inputs
(pow (pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4) -4)
(pow (+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))) -1/4)
(+ (* x -70711/100000) (/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1)))
(* x -70711/100000)
(/ 1 (/ -100000/70711 x))
(/ -100000/70711 x)
(/ (+ 1913510371/448100000 (* (* x x) -70711/100000)) x)
(+ 1913510371/448100000 (* (* x x) -70711/100000))
(* (* x x) -70711/100000)
(* x x)
(* (* x (* x -5000045521/10000000000)) (/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x))))
(* x (* x -5000045521/10000000000))
(* x -5000045521/10000000000)
(/ 1 (+ (/ 1913510371/448100000 x) (* 70711/100000 x)))
(pow (pow (* x -70711/100000) 1/2) 2)
(pow (* x -70711/100000) 1/2)
(/ (+ (* x -1913510371/10000000000) -16316775383/10000000000) (+ (* x (+ -99229/100000 (* x -4481/100000))) -1))
(* x -1913510371/10000000000)
(* x -4481/100000)
Outputs
(+.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 -100000/70711 binary64)))
(exp.f64 (*.f64 #s(literal -4 binary64) (*.f64 #s(literal -1/4 binary64) (log.f64 (+.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (-.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (-.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(fma.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (/.f64 #s(literal 1 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 -100000/70711 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (-.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 -100000/70711 binary64))))) (+.f64 (*.f64 (/.f64 x #s(literal -100000/70711 binary64)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x #s(literal -100000/70711 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))))))
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(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 #s(literal -70711/100000 binary64)) (sqrt.f64 #s(literal -70711/100000 binary64))))
(*.f64 (*.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 #s(literal -70711/100000 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -70711/100000 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x #s(literal -100000/70711 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x #s(literal -100000/70711 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 x #s(literal -100000/70711 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -100000/70711 binary64) x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 100000/70711 binary64) x)))
(pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -100000/70711 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 x #s(literal -100000/70711 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -70711/100000 binary64)))
(*.f64 (sqrt.f64 #s(literal -70711/100000 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -70711/100000 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 x #s(literal -100000/70711 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (neg.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (neg.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)))) (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64))) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64))) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64)))) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (neg.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64))) #s(literal -4344131920367546379167405106887/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) (-.f64 #s(literal 266237158899274796689/100000000000000000000 binary64) (*.f64 x #s(literal 31222318916647997093/100000000000000000000 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 3661521939924557641/100000000000000000000 binary64)) #s(literal -266237158899274796689/100000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64)))
(pow.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 16316775383/10000000000 binary64) (neg.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)))) (/.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 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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 (+.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 (*.f64 x (*.f64 (+.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 (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64))) #s(literal -1 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (*.f64 (+.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)))))) #s(literal -1 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 -1913510371/10000000000 binary64))
(*.f64 #s(literal -1913510371/10000000000 binary64) x)
(*.f64 x #s(literal -4481/100000 binary64))
(*.f64 #s(literal -4481/100000 binary64) x)

simplify313.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
2710×*-lowering-*.f32
2710×*-lowering-*.f64
2116×sum3-define
2098×+-lowering-+.f64
2098×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02791643
17811492
221221417
359571409
081731409
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
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))))))
(pow 10000000000/16316775383 1/4)
(+ (* 30191289437/92301200000 (* (pow 10000000000/16316775383 1/4) x)) (pow 10000000000/16316775383 1/4))
(+ (* x (+ (* 1049826905188014269093/17039023042880000000000 (* (pow 10000000000/16316775383 1/4) x)) (* 30191289437/92301200000 (pow 10000000000/16316775383 1/4)))) (pow 10000000000/16316775383 1/4))
(+ (* x (+ (* 30191289437/92301200000 (pow 10000000000/16316775383 1/4)) (* x (+ (* 1049826905188014269093/17039023042880000000000 (pow 10000000000/16316775383 1/4)) (* 189136516442633234208933857435171/1572722273685475456000000000000000 (* (pow 10000000000/16316775383 1/4) x)))))) (pow 10000000000/16316775383 1/4))
(exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x)))))
(+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2))))
(+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2)))))
(+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 3))) (+ (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2))) (* 1230199480844637/2879219732512 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 4))))))
(exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x)))))
(+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2))))
(+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2)))))
(+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (+ (* -1 (/ (+ (* -1230199480844637/2879219732512 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) x)) (* 412807944/20079361 (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2)))))
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)
(* -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)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ -100000/70711 x)
(/ 1913510371/448100000 x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(/ (+ 1913510371/448100000 (* -70711/100000 (pow x 2))) x)
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
1913510371/448100000
(+ 1913510371/448100000 (* -70711/100000 (pow x 2)))
(+ 1913510371/448100000 (* -70711/100000 (pow x 2)))
(+ 1913510371/448100000 (* -70711/100000 (pow x 2)))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* (pow x 2) (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (pow x 2))
(* -70711/100000 (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)
(* -316855991/2706100000 (pow x 3))
(* (pow x 3) (- (* 1419831695671/73229772100000 (pow x 2)) 316855991/2706100000))
(* (pow x 3) (- (* (pow x 2) (+ 1419831695671/73229772100000 (* -6362265828301751/1981670862798100000 (pow x 2)))) 316855991/2706100000))
(* (pow x 3) (- (* (pow x 2) (+ 1419831695671/73229772100000 (* (pow x 2) (- (* 28509313176620146231/53625995218179384100000 (pow x 2)) 6362265828301751/1981670862798100000)))) 316855991/2706100000))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 1401259283793164491/8997561664100000 (/ 1 (pow x 6)))) (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 51781504149631/2007936100000 (pow x 4))) (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 1401259283793164491/8997561664100000 (/ 1 (pow x 6)))))))
(* -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))
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* -5000045521/10000000000 x)
(* 448100000/1913510371 x)
(* x (+ 448100000/1913510371 (* -2007936100000/51781504149631 (pow x 2))))
(* x (+ 448100000/1913510371 (* (pow x 2) (- (* 8997561664100000/1401259283793164491 (pow x 2)) 2007936100000/51781504149631))))
(* x (+ 448100000/1913510371 (* (pow x 2) (- (* (pow x 2) (+ 8997561664100000/1401259283793164491 (* -40318073816832100000/37919477478726824290951 (pow x 2)))) 2007936100000/51781504149631))))
(/ 100000/70711 x)
(/ (- 100000/70711 (* 2706100000/316855991 (/ 1 (pow x 2)))) x)
(/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (* 2706100000/316855991 (/ 1 (pow x 2)))) x)
(/ (- (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4))) (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6))))) x)
(/ 100000/70711 x)
(* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) 100000/70711) x))
(* -1 (/ (- (* 2706100000/316855991 (/ 1 (pow x 2))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))
(* -1 (/ (- (+ (* 2706100000/316855991 (/ 1 (pow x 2))) (* 1981670862798100000/6362265828301751 (/ 1 (pow x 6)))) (+ 100000/70711 (/ 73229772100000/1419831695671 (pow x 4)))) x))
(* x (pow (sqrt -70711/100000) 2))
(* x (pow (sqrt -70711/100000) 2))
(* x (pow (sqrt -70711/100000) 2))
(* x (pow (sqrt -70711/100000) 2))
(* x (pow (sqrt -70711/100000) 2))
(* x (pow (sqrt -70711/100000) 2))
(* x (pow (sqrt -70711/100000) 2))
(* x (pow (sqrt -70711/100000) 2))
(* -1 (* x (pow (sqrt 70711/100000) 2)))
(* -1 (* x (pow (sqrt 70711/100000) 2)))
(* -1 (* x (pow (sqrt 70711/100000) 2)))
(* -1 (* x (pow (sqrt 70711/100000) 2)))
(* (sqrt x) (sqrt -70711/100000))
(* (sqrt x) (sqrt -70711/100000))
(* (sqrt x) (sqrt -70711/100000))
(* (sqrt x) (sqrt -70711/100000))
(* (sqrt x) (sqrt -70711/100000))
(* (sqrt x) (sqrt -70711/100000))
(* (sqrt x) (sqrt -70711/100000))
(* (sqrt x) (sqrt -70711/100000))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 70711/100000))))
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))
(* -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)
(* -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)
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 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 70711/100000 binary64) (/.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 (+.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 (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x))) (/.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))
(pow 10000000000/16316775383 1/4)
(pow.f64 #s(literal 10000000000/16316775383 binary64) #s(literal 1/4 binary64))
(+ (* 30191289437/92301200000 (* (pow 10000000000/16316775383 1/4) x)) (pow 10000000000/16316775383 1/4))
(*.f64 (+.f64 (*.f64 x #s(literal 30191289437/92301200000 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 10000000000/16316775383 binary64) #s(literal 1/4 binary64)))
(+ (* x (+ (* 1049826905188014269093/17039023042880000000000 (* (pow 10000000000/16316775383 1/4) x)) (* 30191289437/92301200000 (pow 10000000000/16316775383 1/4)))) (pow 10000000000/16316775383 1/4))
(+.f64 (pow.f64 #s(literal 10000000000/16316775383 binary64) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (pow.f64 #s(literal 10000000000/16316775383 binary64) #s(literal 1/4 binary64)) (+.f64 (*.f64 x #s(literal 1049826905188014269093/17039023042880000000000 binary64)) #s(literal 30191289437/92301200000 binary64)))))
(+ (* x (+ (* 30191289437/92301200000 (pow 10000000000/16316775383 1/4)) (* x (+ (* 1049826905188014269093/17039023042880000000000 (pow 10000000000/16316775383 1/4)) (* 189136516442633234208933857435171/1572722273685475456000000000000000 (* (pow 10000000000/16316775383 1/4) x)))))) (pow 10000000000/16316775383 1/4))
(+.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 #s(literal 10000000000/16316775383 binary64) #s(literal 1/4 binary64)) (+.f64 #s(literal 1049826905188014269093/17039023042880000000000 binary64) (*.f64 x #s(literal 189136516442633234208933857435171/1572722273685475456000000000000000 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 30191289437/92301200000 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 10000000000/16316775383 binary64) #s(literal 1/4 binary64))))
(exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x)))))
(*.f64 (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2))))
(+.f64 (*.f64 (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 27061/17924 binary64) (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (*.f64 x x)))
(+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2)))))
(+.f64 (*.f64 (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (*.f64 x x)) (+.f64 #s(literal 27061/17924 binary64) (/.f64 #s(literal -412807944/20079361 binary64) x))))
(+ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 3))) (+ (* 27061/17924 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 2))) (* 1230199480844637/2879219732512 (/ (exp (* 1/4 (+ (log -100000/70711) (log (/ 1 x))))) (pow x 4))))))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (*.f64 x x)) (+.f64 #s(literal 27061/17924 binary64) (/.f64 #s(literal -412807944/20079361 binary64) x))) (+.f64 (*.f64 (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1230199480844637/2879219732512 binary64) (pow.f64 #s(literal -100000/70711 binary64) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
(exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x)))))
(*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)))
(+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2))))
(+.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) #s(literal 27061/17924 binary64))) (*.f64 x x)))
(+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (+ (* -412807944/20079361 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2)))))
(+.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))) (*.f64 x x)) (+.f64 #s(literal 27061/17924 binary64) (/.f64 #s(literal -412807944/20079361 binary64) x))))
(+ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (+ (* -1 (/ (+ (* -1230199480844637/2879219732512 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) x)) (* 412807944/20079361 (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))))) (pow x 3))) (* 27061/17924 (/ (exp (* 1/4 (+ (log 100000/70711) (log (/ -1 x))))) (pow x 2)))))
(+.f64 (+.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) #s(literal 27061/17924 binary64))) (*.f64 x x))) (/.f64 (-.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) #s(literal -412807944/20079361 binary64))) (*.f64 (*.f64 (pow.f64 #s(literal 100000/70711 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64))) (/.f64 #s(literal -1230199480844637/2879219732512 binary64) x))) (*.f64 x (*.f64 x x))))
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 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 70711/100000 binary64) (/.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 (+.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 (+.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1913510371/448100000 binary64) (*.f64 x x))) (/.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))
(* -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))
(* -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))
(/ -100000/70711 x)
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(/ (- (+ 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 (/.f64 (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)) x) #s(literal -1913510371/448100000 binary64)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) x))
(* -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))
(* -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))

eval71.0ms (0.8%)

Compiler

Compiled 11259 to 1192 computations (89.4% saved)

prune67.0ms (0.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New5945599
Fresh404
Picked415
Done145
Total60310613
Accuracy
100.0%
Counts
613 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓29.6%
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) x)
55.5%
(/.f64 x #s(literal -100000/70711 binary64))
✓47.1%
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
55.4%
(/.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1 binary64) x))
✓55.1%
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
✓55.6%
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
29.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 x (/.f64 #s(literal -100000/70711 binary64) x))))
29.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))) (*.f64 x x)) #s(literal -5000045521/10000000000 binary64))
54.9%
(*.f64 (*.f64 x #s(literal -5000045521/10000000000 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
✓47.8%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 594 to 179 computations (69.9% saved)

regimes32.0ms (0.4%)

Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
(/.f64 x #s(literal -100000/70711 binary64))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(/.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 x (/.f64 #s(literal -100000/70711 binary64) x))))
(*.f64 (*.f64 x #s(literal -5000045521/10000000000 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(*.f64 (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))) (*.f64 x x)) #s(literal -5000045521/10000000000 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 (*.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 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal 3661521939924557641/200793610000000000 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (+.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 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (*.f64 #s(literal -5000045521/10000000000 binary64) (*.f64 x x))) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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))))
(*.f64 (+.f64 (/.f64 (+.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 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64))))) (*.f64 #s(literal -5000045521/10000000000 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 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)))))
(pow.f64 (pow.f64 (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1913510371/10000000000 binary64)) #s(literal -16316775383/10000000000 binary64)) (+.f64 (*.f64 x (+.f64 #s(literal -99229/100000 binary64) (*.f64 x #s(literal -4481/100000 binary64)))) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 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:

14.0ms
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)
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))
Results
AccuracySegmentsBranch
99.8%1x
99.8%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))
99.8%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)

regimes29.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
(/.f64 x #s(literal -100000/70711 binary64))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(/.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 x (/.f64 #s(literal -100000/70711 binary64) x))))
(*.f64 (*.f64 x #s(literal -5000045521/10000000000 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(*.f64 (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))) (*.f64 x x)) #s(literal -5000045521/10000000000 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))
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:

18.0ms
x
5.0ms
(-.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)
5.0ms
(*.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
99.8%1x
99.8%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))
99.8%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)

regimes6.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
(/.f64 x #s(literal -100000/70711 binary64))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(/.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
(/.f64 (*.f64 x (*.f64 x #s(literal -70711/100000 binary64))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 (*.f64 x x) #s(literal -70711/100000 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (*.f64 x (*.f64 x #s(literal -70711/100000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 x (/.f64 #s(literal -100000/70711 binary64) x))))
(*.f64 (*.f64 x #s(literal -5000045521/10000000000 binary64)) (/.f64 x (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(*.f64 (*.f64 x (*.f64 x #s(literal -5000045521/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 #s(literal 70711/100000 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))) (*.f64 x x)) #s(literal -5000045521/10000000000 binary64))
Outputs
(/.f64 x #s(literal -100000/70711 binary64))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.9%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 10000000000/16316775383 binary64))
(/.f64 x #s(literal -100000/70711 binary64))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(/.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -100000/70711 binary64) x))
Outputs
(/.f64 x #s(literal -100000/70711 binary64))
(+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x))
(/.f64 x #s(literal -100000/70711 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%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 1 binary64) #s(literal 10000000000/16316775383 binary64))
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
99.7%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
47.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch94.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
2.0267383395991314e-15
1513501.1443583441
47.0ms
-52675768149459620.0
-1.107356836747944e-16
Results
62.0ms352×0valid
Compiler

Compiled 332 to 272 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
...c/correct-round.rkt:119:19: 25.0ms (53.3% of total)
ival-mult: 11.0ms (23.5% of total)
ival-add: 5.0ms (10.7% of total)
ival-div: 3.0ms (6.4% of total)
ival-sub: 2.0ms (4.3% of total)
const: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

bsearch89.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
2.0267383395991314e-15
1513501.1443583441
37.0ms
-52675768149459620.0
-1.107356836747944e-16
Results
67.0ms352×0valid
Compiler

Compiled 288 to 239 computations (17% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
...c/correct-round.rkt:119:19: 22.0ms (52% of total)
ival-mult: 10.0ms (23.6% of total)
ival-add: 5.0ms (11.8% of total)
ival-div: 2.0ms (4.7% of total)
ival-sub: 2.0ms (4.7% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

bsearch94.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
2.0267383395991314e-15
1513501.1443583441
35.0ms
-52675768149459620.0
-1.107356836747944e-16
Results
75.0ms352×0valid
Compiler

Compiled 200 to 173 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
...c/correct-round.rkt:119:19: 44.0ms (69.6% of total)
ival-mult: 10.0ms (15.8% of total)
ival-add: 5.0ms (7.9% of total)
ival-div: 3.0ms (4.7% of total)
ival-sub: 2.0ms (3.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch115.0ms (1.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
2.0267383395991314e-15
1513501.1443583441
64.0ms
-52675768149459620.0
-1.107356836747944e-16
Results
96.0ms352×0valid
Compiler

Compiled 200 to 173 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
...c/correct-round.rkt:119:19: 33.0ms (39.3% of total)
ival-add: 28.0ms (33.3% of total)
ival-mult: 17.0ms (20.2% of total)
ival-div: 3.0ms (3.6% of total)
ival-sub: 2.0ms (2.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056105
189105
2101105
3111105
4126105
5133105
6137105
7138105
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))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 x #s(literal -100000/70711 binary64)) (if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x)) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 x #s(literal -100000/70711 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 -100000/70711 binary64))))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 x #s(literal -100000/70711 binary64)) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 16316775383/10000000000 binary64) (/.f64 x #s(literal -100000/70711 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))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 x #s(literal -100000/70711 binary64)) (if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 #s(literal -2134856267379707/1000000000000000 binary64) x)) (+.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal -70711/100000 binary64)))))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 x #s(literal -100000/70711 binary64)) (if (<=.f64 x #s(literal 3152519739159347/1125899906842624 binary64)) (+.f64 #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -2134856267379707/1000000000000000 binary64))) (+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 1913510371/448100000 binary64) x))))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 x #s(literal -100000/70711 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 -100000/70711 binary64))))
(if (<=.f64 x #s(literal -4728779608739021/4503599627370496 binary64)) (/.f64 x #s(literal -100000/70711 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 -100000/70711 binary64))))
(if (<=.f64 x #s(literal -7/2 binary64)) (/.f64 x #s(literal -100000/70711 binary64)) (if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) #s(literal 16316775383/10000000000 binary64) (/.f64 x #s(literal -100000/70711 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)

soundness1.6s (17.3%)

Rules
4380×*-lowering-*.f32
4380×*-lowering-*.f64
2822×/-lowering-/.f32
2822×/-lowering-/.f64
2420×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0158766
1459699
21229679
33360671
08233671
042136
1235124
01945124
0110392
1319361
2807353
32157333
47100333
08049333
01647
19742
292240
0880240
01619
13316
27216
311716
416716
523015
638715
785115
8235615
9735415
0825115
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 186 to 119 computations (36% saved)

preprocess83.0ms (0.9%)

Compiler

Compiled 264 to 144 computations (45.5% saved)

end0.0ms (0%)

Profiling

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