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

Time bar (total: 11.0s)

analyze5.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
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 18 computations (14.3% saved)

sample1.8s (16.6%)

Memory
-92.1MiB live, 2 291.9MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
const: 652.0ms (51.3% of total)
ival-mult: 385.0ms (30.3% of total)
ival-add: 117.0ms (9.2% of total)
ival-div: 53.0ms (4.2% of total)
ival-sub: 50.0ms (3.9% of total)
ival-true: 6.0ms (0.5% of total)
exact: 5.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess677.0ms (6.2%)

Memory
-2.8MiB live, 275.1MiB allocated
Algorithm
egg-herbie
Rules
3 064×accelerator-lowering-fma.f32
3 064×accelerator-lowering-fma.f64
1 288×*-lowering-*.f32
1 288×*-lowering-*.f64
1 124×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02765
17257
220057
352357
4102957
5170657
6292257
7415357
8467857
9485357
10491057
11494457
12557457
13608457
14641757
15643957
16644957
17645757
18646757
19647957
20648357
21648357
22657157
23688357
24688557
25688557
26723757
01619
13319
26019
38619
411919
515619
625019
755719
8141319
9294019
10384219
11394519
12397519
13399419
14399719
15427319
16519319
17519919
18519919
19519919
20530319
21617019
22648819
23660719
24661519
25661519
26661519
0661515
Stop Event
iter limit
saturated
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))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 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))
(+ (/ (+ 16316775383/10000000000 (* x 1913510371/10000000000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) (* x -70711/100000))
(* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x)))
(+ (/ (+ -16316775383/10000000000 (* x 1913510371/10000000000)) (+ -1 (* x (- 99229/100000 (* x 4481/100000))))) (* 70711/100000 x))
(neg (* 70711/100000 (- (/ (+ 230753/100000 (* (neg x) 27061/100000)) (+ 1 (* (neg x) (+ 99229/100000 (* (neg x) 4481/100000))))) (neg x))))
(+ (/ (+ -16316775383/10000000000 (* x 1913510371/10000000000)) (- 1 (* x (- 99229/100000 (* x 4481/100000))))) (* x -70711/100000))

explain353.0ms (3.2%)

Memory
7.5MiB live, 398.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-0-(/.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-(-.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 x #s(literal 4481/100000 binary64))
00-0-#s(literal 99229/100000 binary64)
00-0-(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
00-0-#s(literal 1 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-(*.f64 x #s(literal 27061/100000 binary64))
00-0-(+.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-#s(literal 70711/100000 binary64)
00-0-(*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
00-0-#s(literal 27061/100000 binary64)
00-0-#s(literal 4481/100000 binary64)
00-0-#s(literal 230753/100000 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
162.0ms512×0valid
Compiler

Compiled 224 to 68 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
const: 72.0ms (50.3% of total)
ival-mult: 49.0ms (34.2% of total)
ival-div: 12.0ms (8.4% of total)
ival-add: 7.0ms (4.9% of total)
ival-sub: 3.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Compiler

Compiled 20 to 16 computations (20% saved)

simplify369.0ms (3.4%)

Memory
-32.0MiB live, 134.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
cost-diff128
(+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)))
cost-diff128
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
Rules
3 064×accelerator-lowering-fma.f32
3 064×accelerator-lowering-fma.f64
1 288×*-lowering-*.f32
1 288×*-lowering-*.f64
1 086×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01690
13390
26090
38690
411990
515690
625090
755790
8141390
9294090
10384290
11394590
12397590
13399490
14399790
15427390
16519390
17519990
18519990
19519990
20530390
21617090
22648890
23660790
24661590
25661590
26661590
0661575
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
70711/100000
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(+ 230753/100000 (* x 27061/100000))
230753/100000
(* x 27061/100000)
x
27061/100000
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
1
(* x (+ 99229/100000 (* x 4481/100000)))
(+ 99229/100000 (* x 4481/100000))
99229/100000
(* x 4481/100000)
4481/100000
Outputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
70711/100000
#s(literal 70711/100000 binary64)
(- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x)
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(+ 230753/100000 (* x 27061/100000))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(* x 27061/100000)
(*.f64 x #s(literal 27061/100000 binary64))
x
27061/100000
#s(literal 27061/100000 binary64)
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* x (+ 99229/100000 (* x 4481/100000)))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(+ 99229/100000 (* x 4481/100000))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 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)

localize62.0ms (0.6%)

Memory
4.0MiB live, 120.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.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))
accuracy99.5%
(*.f64 x #s(literal 27061/100000 binary64))
accuracy99.4%
(*.f64 x #s(literal 4481/100000 binary64))
accuracy77.4%
(/.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))))))
Samples
40.0ms256×0valid
Compiler

Compiled 92 to 18 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 17.0ms (58.3% of total)
ival-mult: 6.0ms (20.6% of total)
ival-add: 3.0ms (10.3% of total)
ival-div: 2.0ms (6.9% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-21.8MiB live, 16.8MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))>
#<alt (+ 230753/100000 (* x 27061/100000))>
#<alt (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))>
#<alt (+ 99229/100000 (* x 4481/100000))>
#<alt (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))>
#<alt (* x 4481/100000)>
#<alt (* x 27061/100000)>
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 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* 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 (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
#<alt (* 27061/100000 x)>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+ 230753/100000 (* x 27061/100000))
1.0ms
x
@-inf
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
1.0ms
x
@inf
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
0.0ms
x
@0
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
0.0ms
x
@-inf
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))

rewrite403.0ms (3.7%)

Memory
7.4MiB live, 640.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 938×accelerator-lowering-fma.f32
7 938×accelerator-lowering-fma.f64
5 804×*-lowering-*.f32
5 804×*-lowering-*.f64
4 072×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01659
19359
281559
0857949
Stop Event
iter limit
node limit
Counts
7 → 395
Calls
Call 1
Inputs
(* 70711/100000 (- (/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000))))) x))
(+ 230753/100000 (* x 27061/100000))
(+ 1 (* x (+ 99229/100000 (* x 4481/100000))))
(+ 99229/100000 (* x 4481/100000))
(/ (+ 230753/100000 (* x 27061/100000)) (+ 1 (* x (+ 99229/100000 (* x 4481/100000)))))
(* x 4481/100000)
(* x 27061/100000)
Outputs
(+.f64 (*.f64 #s(literal -70711/100000 binary64) x) (/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -70711/100000 binary64) x))
(+.f64 (/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)) (/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
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(*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal 1 binary64))) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))
(*.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) (*.f64 x (fma.f64 x #s(literal -4481/100000 binary64) #s(literal -99229/100000 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 19816708627981/1000000000000000 binary64) #s(literal 12286892763167777/1000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 732297721/10000000000 binary64)) #s(literal 6244406933/10000000000 binary64)) #s(literal 53246947009/10000000000 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 53246947009/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal -732297721/10000000000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal -27061/100000 binary64)))))
(*.f64 x #s(literal 4481/100000 binary64))
(*.f64 #s(literal 4481/100000 binary64) x)
(*.f64 x #s(literal 27061/100000 binary64))
(*.f64 #s(literal 27061/100000 binary64) x)

simplify263.0ms (2.4%)

Memory
29.5MiB live, 508.5MiB allocated
Algorithm
egg-herbie
Rules
9 072×accelerator-lowering-fma.f32
9 072×accelerator-lowering-fma.f64
2 932×*-lowering-*.f32
2 932×*-lowering-*.f64
1 740×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136500
1369492
2855484
32060468
45211468
08102417
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(* 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)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
(* 27061/100000 x)
Outputs
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(fma.f64 x (-.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1913510371/448100000 binary64) (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)))))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(fma.f64 x (-.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal 3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x #s(literal -70711/100000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -1913510371/448100000 binary64) (+.f64 #s(literal 3648757816023/62748003125 binary64) (/.f64 #s(literal -335267464412236892/281173802003125 binary64) x)))))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* 27061/100000 x))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 99229/100000 x))
(fma.f64 x #s(literal 99229/100000 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* 4481/100000 (pow x 2))
(*.f64 x (*.f64 x #s(literal 4481/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (-.f64 #s(literal -1651231776/20079361 binary64) (/.f64 (+.f64 (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x) #s(literal -151724043800704/89975616641 binary64)) x)) x)) x)
(* 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))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))
(* 27061/100000 x)
(*.f64 x #s(literal 27061/100000 binary64))

eval66.0ms (0.6%)

Memory
3.5MiB live, 155.0MiB allocated
Compiler

Compiled 15 282 to 1 988 computations (87% saved)

prune67.0ms (0.6%)

Memory
-11.0MiB live, 179.6MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New46613479
Fresh000
Picked101
Done000
Total46713480
Accuracy
100.0%
Counts
480 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
48.7%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
99.8%
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
60.6%
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
75.7%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))
99.8%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))
99.8%
(*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64))
75.6%
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 70711/100000 binary64)))
48.6%
(*.f64 x #s(literal -70711/100000 binary64))
60.6%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
47.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
48.7%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
53.4%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 410 to 244 computations (40.5% saved)

simplify334.0ms (3%)

Memory
3.6MiB live, 202.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))
cost-diff1216
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))
cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
cost-diff128
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
cost-diff0
(fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
cost-diff0
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
cost-diff320
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))
Rules
3 816×accelerator-lowering-fma.f32
3 816×accelerator-lowering-fma.f64
1 608×*-lowering-*.f32
1 608×*-lowering-*.f64
1 330×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033207
173199
2135199
3173199
4206199
5299199
6496199
7906199
82122199
93778199
104458199
114583199
124635199
134652199
144659199
154937199
165797199
175797199
185797199
196037199
207081199
217081199
227081199
237081199
07081166
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* -70711/100000 x) (/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
-70711/100000
x
(/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(* 70711/100000 (+ (* x 27061/100000) 230753/100000))
70711/100000
(+ (* x 27061/100000) 230753/100000)
27061/100000
230753/100000
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(+ (* x 4481/100000) 99229/100000)
4481/100000
99229/100000
1
16316775383/10000000000
(+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000)
x
(+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)
134362287316698645903/100000000000000000000
-2134856267379707/1000000000000000
16316775383/10000000000
(* 70711/100000 (- (/ 27061/4481 x) x))
70711/100000
(- (/ 27061/4481 x) x)
(/ 27061/4481 x)
27061/4481
x
(/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)))
70711/100000
(/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))
1
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 27061/100000) 230753/100000)
x
27061/100000
230753/100000
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(+ (* x 4481/100000) 99229/100000)
4481/100000
99229/100000
Outputs
(+ (* -70711/100000 x) (/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
-70711/100000
#s(literal -70711/100000 binary64)
x
(/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(* 70711/100000 (+ (* x 27061/100000) 230753/100000))
(fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64))
70711/100000
#s(literal 70711/100000 binary64)
(+ (* x 27061/100000) 230753/100000)
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
27061/100000
#s(literal 27061/100000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ (* x 4481/100000) 99229/100000)
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
99229/100000
#s(literal 99229/100000 binary64)
1
#s(literal 1 binary64)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000)
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
x
(+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)
(fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64))
134362287316698645903/100000000000000000000
#s(literal 134362287316698645903/100000000000000000000 binary64)
-2134856267379707/1000000000000000
#s(literal -2134856267379707/1000000000000000 binary64)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* 70711/100000 (- (/ 27061/4481 x) x))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 #s(literal 1913510371/448100000 binary64) x))
70711/100000
#s(literal 70711/100000 binary64)
(- (/ 27061/4481 x) x)
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
27061/4481
#s(literal 27061/4481 binary64)
x
(/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
70711/100000
#s(literal 70711/100000 binary64)
(/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))
1
#s(literal 1 binary64)
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(+ (* x 27061/100000) 230753/100000)
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
x
27061/100000
#s(literal 27061/100000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ (* x 4481/100000) 99229/100000)
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
99229/100000
#s(literal 99229/100000 binary64)

localize159.0ms (1.4%)

Memory
-2.9MiB live, 211.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))
accuracy99.8%
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy99.7%
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy77.4%
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)
accuracy99.6%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy99.8%
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
accuracy99.7%
(fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64))
accuracy99.8%
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
accuracy99.8%
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)))
accuracy99.7%
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy77.4%
(/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
Samples
114.0ms256×0valid
Compiler

Compiled 178 to 35 computations (80.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
const: 49.0ms (52.8% of total)
ival-mult: 27.0ms (29.1% of total)
ival-div: 8.0ms (8.6% of total)
ival-add: 7.0ms (7.5% of total)
ival-sub: 2.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-22.6MiB live, 14.9MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (* 70711/100000 (+ (* x 27061/100000) 230753/100000))>
#<alt (+ (* -70711/100000 x) (/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))>
#<alt (/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))>
#<alt (+ (* x 27061/100000) 230753/100000)>
#<alt (+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000)>
#<alt (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)>
#<alt (* 70711/100000 (- (/ 27061/4481 x) x))>
#<alt (- (/ 27061/4481 x) x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)))>
#<alt (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))>
#<alt (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))>
#<alt (+ (* x 4481/100000) 99229/100000)>
Outputs
#<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 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (+ 230753/100000 (* 27061/100000 x))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* 27061/100000 x)>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt (* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))>
#<alt 16316775383/10000000000>
#<alt (+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))>
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* 134362287316698645903/100000000000000000000 (pow x 2))>
#<alt (* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))>
#<alt -2134856267379707/1000000000000000>
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)>
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)>
#<alt (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))>
#<alt (* 134362287316698645903/100000000000000000000 x)>
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))>
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))>
#<alt (* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))>
#<alt (/ 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 (/ 27061/4481 x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (/ (+ 27061/4481 (* -1 (pow x 2))) x)>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 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 100000/230753>
#<alt (+ 100000/230753 (* 30191289437/53246947009 x))>
#<alt (+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x))))>
#<alt (+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x))))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x)>
#<alt (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000)
0.0ms
x
@0
(* 70711/100000 (- (/ 27061/4481 x) x))
0.0ms
x
@-inf
(* 70711/100000 (- (/ 27061/4481 x) x))
0.0ms
x
@0
(/ 27061/4481 x)
0.0ms
x
@inf
(* 70711/100000 (- (/ 27061/4481 x) x))

rewrite439.0ms (4%)

Memory
20.7MiB live, 573.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 012×accelerator-lowering-fma.f32
5 012×accelerator-lowering-fma.f64
4 768×/-lowering-/.f32
4 768×/-lowering-/.f64
3 906×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033154
1210148
21744148
08428123
Stop Event
iter limit
node limit
Counts
14 → 511
Calls
Call 1
Inputs
(* 70711/100000 (+ (* x 27061/100000) 230753/100000))
(+ (* -70711/100000 x) (/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
(/ (* 70711/100000 (+ (* x 27061/100000) 230753/100000)) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 27061/100000) 230753/100000)
(+ (* x (+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)) 16316775383/10000000000)
(+ (* x 134362287316698645903/100000000000000000000) -2134856267379707/1000000000000000)
(* 70711/100000 (- (/ 27061/4481 x) x))
(- (/ 27061/4481 x) x)
(/ 27061/4481 x)
(/ 70711/100000 (/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)))
(/ 1 (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x))
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 4481/100000) 99229/100000)
Outputs
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(+.f64 (*.f64 x #s(literal 1913510371/10000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
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(fma.f64 #s(literal 70711/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(fma.f64 #s(literal 27061/100000 binary64) (*.f64 x #s(literal 70711/100000 binary64)) #s(literal 16316775383/10000000000 binary64))
(fma.f64 (*.f64 x #s(literal 27061/100000 binary64)) #s(literal 70711/100000 binary64) #s(literal 16316775383/10000000000 binary64))
(fma.f64 (*.f64 #s(literal 70711/100000 binary64) x) #s(literal 27061/100000 binary64) #s(literal 16316775383/10000000000 binary64))
(fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
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(+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(-.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(fma.f64 #s(literal 4481/100000 binary64) x #s(literal 99229/100000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))) (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))

simplify490.0ms (4.5%)

Memory
-2.3MiB live, 707.9MiB allocated
Algorithm
egg-herbie
Rules
13 452×accelerator-lowering-fma.f32
13 452×accelerator-lowering-fma.f64
3 864×*-lowering-*.f32
3 864×*-lowering-*.f64
3 708×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02701249
17601232
218571200
346561198
083361100
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
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))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(/ 1913510371/448100000 x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)
(/ 1913510371/448100000 x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
230753/100000
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(+ 230753/100000 (* 27061/100000 x))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* 27061/100000 x)
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
(* x (+ 27061/100000 (* 230753/100000 (/ 1 x))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(* 134362287316698645903/100000000000000000000 (pow x 2))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (- (+ 134362287316698645903/100000000000000000000 (/ 16316775383/10000000000 (pow x 2))) (* 2134856267379707/1000000000000000 (/ 1 x))))
(* 134362287316698645903/100000000000000000000 (pow x 2))
(* (pow x 2) (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))
(* (pow x 2) (+ 134362287316698645903/100000000000000000000 (* -1 (/ (- 2134856267379707/1000000000000000 (* 16316775383/10000000000 (/ 1 x))) x))))
-2134856267379707/1000000000000000
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)
(- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)
(* 134362287316698645903/100000000000000000000 x)
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* x (- 134362287316698645903/100000000000000000000 (* 2134856267379707/1000000000000000 (/ 1 x))))
(* 134362287316698645903/100000000000000000000 x)
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))
(* -1 (* x (- (* 2134856267379707/1000000000000000 (/ 1 x)) 134362287316698645903/100000000000000000000)))
(/ 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))))))
(/ 27061/4481 x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(/ (+ 27061/4481 (* -1 (pow x 2))) x)
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 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))))))
100000/230753
(+ 100000/230753 (* 30191289437/53246947009 x))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x))))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x)
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x))
(* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* 1913510371/10000000000 x))
(fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(* 1913510371/10000000000 x)
(*.f64 #s(literal 1913510371/10000000000 binary64) x)
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
(fma.f64 #s(literal 1913510371/10000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(* x (+ 1913510371/10000000000 (* 16316775383/10000000000 (/ 1 x))))
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16316775383/10000000000
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16316775383/10000000000
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230753/100000
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16316775383/10000000000
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-2134856267379707/1000000000000000
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16316775383/10000000000
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100000/230753
#s(literal 100000/230753 binary64)
(+ 100000/230753 (* 30191289437/53246947009 x))
(fma.f64 x #s(literal 30191289437/53246947009 binary64) #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x))))
(fma.f64 x (fma.f64 x #s(literal 4730460973492672/12286892763167777 binary64) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))) x)
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) #s(literal -1 binary64)) x)
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -155005469888505/89975616641 binary64) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) x) #s(literal -27061/4481 binary64)) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -155005469888505/89975616641 binary64) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -30191289437/10000000000 x))
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -30191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(-.f64 (*.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(neg.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x (/.f64 #s(literal 27061/4481 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) #s(literal -1 binary64)))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
(neg.f64 (fma.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x))) x))
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x)) (/.f64 #s(literal -1651231776/20079361 binary64) x))) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal 14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))

eval146.0ms (1.3%)

Memory
31.0MiB live, 259.6MiB allocated
Compiler

Compiled 21 671 to 2 249 computations (89.6% saved)

prune91.0ms (0.8%)

Memory
-16.5MiB live, 239.0MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New74213755
Fresh448
Picked235
Done000
Total74820768
Accuracy
100.0%
Counts
768 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 70711/100000 binary64) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
54.3%
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
99.8%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
48.7%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
60.6%
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
60.6%
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
47.5%
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
48.9%
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 #s(literal 1913510371/10000000000 binary64) x) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
26.3%
(/.f64 (fma.f64 x (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1913510371/448100000 binary64)) x)
75.5%
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (-.f64 (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -70711/100000 binary64))))
26.2%
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))
78.6%
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
77.8%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
48.6%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
48.6%
(*.f64 x #s(literal -70711/100000 binary64))
26.3%
(*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x))
60.6%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
47.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
48.7%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
53.4%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 522 to 330 computations (36.8% saved)

simplify306.0ms (2.8%)

Memory
16.2MiB live, 248.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))
cost-diff0
(-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))
cost-diff128
(*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal 27061/4481 binary64) x)
cost-diff128
(*.f64 (neg.f64 x) #s(literal 70711/100000 binary64))
cost-diff320
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 70711/100000 binary64) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
cost-diff0
(/.f64 #s(literal 1913510371/448100000 binary64) x)
cost-diff0
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
cost-diff0
(*.f64 x #s(literal -70711/100000 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
cost-diff0
(fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
Rules
3 688×accelerator-lowering-fma.f32
3 688×accelerator-lowering-fma.f64
2 104×*-lowering-*.f32
2 104×*-lowering-*.f64
1 252×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033153
172153
2117153
3188153
4302153
5512153
6938153
71713153
83572153
94613153
105410153
115896153
125926153
135954153
146718153
157107153
167275153
177490153
187700153
197944153
207944153
217944153
08206138
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* x -70711/100000) (/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
x
-70711/100000
(/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 1913510371/10000000000) 16316775383/10000000000)
1913510371/10000000000
16316775383/10000000000
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(+ (* x 4481/100000) 99229/100000)
4481/100000
99229/100000
1
(* x -70711/100000)
x
-70711/100000
(+ (* x -70711/100000) (/ 1913510371/448100000 x))
x
-70711/100000
(/ 1913510371/448100000 x)
1913510371/448100000
(+ (* (/ 27061/4481 x) 70711/100000) (* (neg x) 70711/100000))
(/ 27061/4481 x)
27061/4481
x
70711/100000
(* (neg x) 70711/100000)
(neg x)
(/ (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000) (+ x (/ 27061/4481 x)))
(* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000)
(- (/ 732297721/20079361 (* x x)) (* x x))
(/ 732297721/20079361 (* x x))
732297721/20079361
(* x x)
x
70711/100000
(+ x (/ 27061/4481 x))
(/ 27061/4481 x)
27061/4481
Outputs
(+ (* x -70711/100000) (/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(+ (* x 1913510371/10000000000) 16316775383/10000000000)
(fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64))
1913510371/10000000000
#s(literal 1913510371/10000000000 binary64)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ (* x 4481/100000) 99229/100000)
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
99229/100000
#s(literal 99229/100000 binary64)
1
#s(literal 1 binary64)
(* x -70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
x
-70711/100000
#s(literal -70711/100000 binary64)
(+ (* x -70711/100000) (/ 1913510371/448100000 x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(+ (* (/ 27061/4481 x) 70711/100000) (* (neg x) 70711/100000))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
27061/4481
#s(literal 27061/4481 binary64)
x
70711/100000
#s(literal 70711/100000 binary64)
(* (neg x) 70711/100000)
(*.f64 x #s(literal -70711/100000 binary64))
(neg x)
(neg.f64 x)
(/ (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000) (+ x (/ 27061/4481 x)))
(/.f64 (fma.f64 x (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 51781504149631/2007936100000 binary64) (*.f64 x x))) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))
(* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000)
(fma.f64 x (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 #s(literal 51781504149631/2007936100000 binary64) (*.f64 x x)))
(- (/ 732297721/20079361 (* x x)) (* x x))
(-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x))
(/ 732297721/20079361 (* x x))
(/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))
732297721/20079361
#s(literal 732297721/20079361 binary64)
(* x x)
(*.f64 x x)
x
70711/100000
#s(literal 70711/100000 binary64)
(+ x (/ 27061/4481 x))
(+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
27061/4481
#s(literal 27061/4481 binary64)

localize149.0ms (1.4%)

Memory
11.5MiB live, 238.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64))
accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy98.9%
(/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))
accuracy52.9%
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))
accuracy100.0%
(neg.f64 x)
accuracy99.8%
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 70711/100000 binary64) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
accuracy99.8%
(*.f64 (neg.f64 x) #s(literal 70711/100000 binary64))
accuracy99.5%
(/.f64 #s(literal 27061/4481 binary64) x)
accuracy99.9%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
accuracy99.8%
(/.f64 #s(literal 1913510371/448100000 binary64) x)
accuracy99.8%
(*.f64 x #s(literal -70711/100000 binary64))
accuracy99.8%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
accuracy99.7%
(fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64))
accuracy99.7%
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy77.4%
(/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
Samples
81.0ms256×0valid
Compiler

Compiled 146 to 35 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
const: 32.0ms (50.3% of total)
ival-mult: 12.0ms (18.9% of total)
ival-div: 9.0ms (14.1% of total)
ival-add: 8.0ms (12.6% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-13.3MiB live, 23.8MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (+ (* x -70711/100000) (/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))>
#<alt (/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))>
#<alt (+ (* x 1913510371/10000000000) 16316775383/10000000000)>
#<alt (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)>
#<alt (* x -70711/100000)>
#<alt (+ (* x -70711/100000) (/ 1913510371/448100000 x))>
#<alt (/ 1913510371/448100000 x)>
#<alt (+ (* (/ 27061/4481 x) 70711/100000) (* (neg x) 70711/100000))>
#<alt (* (neg x) 70711/100000)>
#<alt (/ 27061/4481 x)>
#<alt (neg x)>
#<alt (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000)>
#<alt (/ (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000) (+ x (/ 27061/4481 x)))>
#<alt (- (/ 732297721/20079361 (* x x)) (* x x))>
#<alt (/ 732297721/20079361 (* x x))>
#<alt (+ (* x 4481/100000) 99229/100000)>
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 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 1>
#<alt (+ 1 (* 99229/100000 x))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 4481/100000 (pow x 2))>
#<alt (* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 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 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 (/ 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 (* -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 (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ 51781504149631/2007936100000 (pow x 2))>
#<alt (/ (+ 51781504149631/2007936100000 (* -70711/100000 (pow x 4))) (pow x 2))>
#<alt (/ (+ 51781504149631/2007936100000 (* -70711/100000 (pow x 4))) (pow x 2))>
#<alt (/ (+ 51781504149631/2007936100000 (* -70711/100000 (pow x 4))) (pow x 2))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<alt (* -70711/100000 (pow x 2))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<alt (* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))>
#<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 (/ 732297721/20079361 (pow x 2))>
#<alt (/ (+ 732297721/20079361 (* -1 (pow x 4))) (pow x 2))>
#<alt (/ (+ 732297721/20079361 (* -1 (pow x 4))) (pow x 2))>
#<alt (/ (+ 732297721/20079361 (* -1 (pow x 4))) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt (/ 732297721/20079361 (pow x 2))>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/ (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000) (+ x (/ 27061/4481 x)))
2.0ms
x
@0
(/ 732297721/20079361 (* x x))
1.0ms
x
@0
(* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000)
0.0ms
x
@0
(/ (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000) (+ x (/ 27061/4481 x)))
0.0ms
x
@inf
(/ (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000) (+ x (/ 27061/4481 x)))

rewrite774.0ms (7.1%)

Memory
17.3MiB live, 655.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 916×accelerator-lowering-fma.f32
6 916×accelerator-lowering-fma.f64
5 088×/-lowering-/.f32
5 088×/-lowering-/.f64
4 892×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033123
1211123
21858123
09213110
Stop Event
iter limit
node limit
Counts
16 → 513
Calls
Call 1
Inputs
(+ (* x -70711/100000) (/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)))
(/ (+ (* x 1913510371/10000000000) 16316775383/10000000000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 1913510371/10000000000) 16316775383/10000000000)
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(* x -70711/100000)
(+ (* x -70711/100000) (/ 1913510371/448100000 x))
(/ 1913510371/448100000 x)
(+ (* (/ 27061/4481 x) 70711/100000) (* (neg x) 70711/100000))
(* (neg x) 70711/100000)
(/ 27061/4481 x)
(neg x)
(* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000)
(/ (* (- (/ 732297721/20079361 (* x x)) (* x x)) 70711/100000) (+ x (/ 27061/4481 x)))
(- (/ 732297721/20079361 (* x x)) (* x x))
(/ 732297721/20079361 (* x x))
(+ (* x 4481/100000) 99229/100000)
Outputs
(+.f64 (*.f64 x #s(literal -70711/100000 binary64)) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 9846394441/10000000000 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(/.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64))) (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) #s(literal 9846394441/10000000000 binary64))) (*.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))

simplify426.0ms (3.9%)

Memory
-52.0MiB live, 339.7MiB allocated
Algorithm
egg-herbie
Rules
9 924×accelerator-lowering-fma.f32
9 924×accelerator-lowering-fma.f64
3 200×*-lowering-*.f32
3 200×*-lowering-*.f64
1 502×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471143
13831126
28781118
320951058
455211058
08127971
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
16316775383/10000000000
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
16316775383/10000000000
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(/ 1913510371/448100000 x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- (+ 1913510371/448100000 (/ 335267464412236892/281173802003125 (pow x 2))) (+ (* 3648757816023/62748003125 (/ 1 x)) (* 31633246848801948256268/1259939806776003125 (/ 1 (pow x 3))))) x)
(/ 1913510371/448100000 x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 31633246848801948256268/1259939806776003125 (/ 1 x)) 335267464412236892/281173802003125) x)) 3648757816023/62748003125) x)) 1913510371/448100000) x))
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))))
1
(+ 1 (* 99229/100000 x))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(+ 1 (* x (+ 99229/100000 (* 4481/100000 x))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* 4481/100000 (pow x 2))
(* (pow x 2) (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4481/100000 (+ (* 99229/100000 (/ 1 x)) (/ 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 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)
(/ 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))))))
(* -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)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(/ 27061/4481 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ 51781504149631/2007936100000 (pow x 2))
(/ (+ 51781504149631/2007936100000 (* -70711/100000 (pow x 4))) (pow x 2))
(/ (+ 51781504149631/2007936100000 (* -70711/100000 (pow x 4))) (pow x 2))
(/ (+ 51781504149631/2007936100000 (* -70711/100000 (pow x 4))) (pow x 2))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(* -70711/100000 (pow x 2))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(* (pow x 2) (- (* 51781504149631/2007936100000 (/ 1 (pow x 4))) 70711/100000))
(/ 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))))))
(/ 732297721/20079361 (pow x 2))
(/ (+ 732297721/20079361 (* -1 (pow x 4))) (pow x 2))
(/ (+ 732297721/20079361 (* -1 (pow x 4))) (pow x 2))
(/ (+ 732297721/20079361 (* -1 (pow x 4))) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(* (pow x 2) (- (* 732297721/20079361 (/ 1 (pow x 4))) 1))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
(/ 732297721/20079361 (pow x 2))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(* x (- (+ (* 1913510371/448100000 (/ 1 (pow x 2))) (* 335267464412236892/281173802003125 (/ 1 (pow x 4)))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(* -1 (* x (- (+ 70711/100000 (* -1 (/ (- (* 335267464412236892/281173802003125 (/ 1 x)) 3648757816023/62748003125) (pow x 3)))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 335267464412236892/281173802003125 binary64) x) #s(literal -3648757816023/62748003125 binary64)) x)) x))
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -1427746267379707/1000000000000000 x))
(fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 1427746267379707/1000000000000000)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 1427746267379707/1000000000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -1427746267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 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) (/.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)
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(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))

eval157.0ms (1.4%)

Memory
29.8MiB live, 181.3MiB allocated
Compiler

Compiled 15 963 to 1 704 computations (89.3% saved)

prune76.0ms (0.7%)

Memory
0.9MiB live, 209.4MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New7286734
Fresh6612
Picked235
Done033
Total73618754
Accuracy
100.0%
Counts
754 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
60.6%
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
99.8%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
48.8%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
47.5%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
48.7%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
60.6%
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
26.3%
(/.f64 (fma.f64 #s(literal -70711/100000 binary64) (*.f64 x x) #s(literal 1913510371/448100000 binary64)) x)
78.6%
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
77.8%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
48.6%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
48.7%
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
26.2%
(*.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))) (/.f64 #s(literal 70711/100000 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
48.6%
(*.f64 x #s(literal -70711/100000 binary64))
60.6%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
47.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
48.7%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
53.4%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 373 to 254 computations (31.9% saved)

simplify390.0ms (3.6%)

Memory
9.5MiB live, 322.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
cost-diff0
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)
cost-diff0
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff1088
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
cost-diff192
(-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x)
cost-diff320
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
cost-diff0
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
cost-diff0
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
cost-diff0
(pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64))
cost-diff1216
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff12224
(pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
6 272×accelerator-lowering-fma.f32
6 272×accelerator-lowering-fma.f64
2 528×*-lowering-*.f32
2 528×*-lowering-*.f64
1 112×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040191
169187
2112185
3178183
4242183
5355183
6636183
71127183
81990183
92929183
104194183
114938183
125497183
135587183
145643183
156353183
166675183
177373183
187742183
08034158
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 70711/100000 (pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2))
70711/100000
(pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2)
(pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2)
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 27061/100000) 230753/100000)
x
27061/100000
230753/100000
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(+ (* x 4481/100000) 99229/100000)
4481/100000
99229/100000
1
-1/2
2
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)
x
-2134856267379707/1000000000000000
16316775383/10000000000
(* 70711/100000 (- (+ (* x -20191289437/10000000000) 230753/100000) x))
70711/100000
(- (+ (* x -20191289437/10000000000) 230753/100000) x)
(+ (* x -20191289437/10000000000) 230753/100000)
x
-20191289437/10000000000
230753/100000
(/ 70711/100000 (/ -1 x))
70711/100000
(/ -1 x)
-1
x
(+ (* x -70711/100000) (/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x))
x
-70711/100000
(/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x)
(+ 1913510371/448100000 (/ -3648757816023/62748003125 x))
1913510371/448100000
(/ -3648757816023/62748003125 x)
-3648757816023/62748003125
Outputs
(/ 70711/100000 (pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
70711/100000
#s(literal 70711/100000 binary64)
(pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))
(pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2)
(pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64))
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)
(-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
(+ (* x 27061/100000) 230753/100000)
(fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))
x
27061/100000
#s(literal 27061/100000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(+ (* x (+ (* x 4481/100000) 99229/100000)) 1)
(fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))
(+ (* x 4481/100000) 99229/100000)
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
4481/100000
#s(literal 4481/100000 binary64)
99229/100000
#s(literal 99229/100000 binary64)
1
#s(literal 1 binary64)
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
x
-2134856267379707/1000000000000000
#s(literal -2134856267379707/1000000000000000 binary64)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(* 70711/100000 (- (+ (* x -20191289437/10000000000) 230753/100000) x))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
70711/100000
#s(literal 70711/100000 binary64)
(- (+ (* x -20191289437/10000000000) 230753/100000) x)
(fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ (* x -20191289437/10000000000) 230753/100000)
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
x
-20191289437/10000000000
#s(literal -20191289437/10000000000 binary64)
230753/100000
#s(literal 230753/100000 binary64)
(/ 70711/100000 (/ -1 x))
(*.f64 x #s(literal -70711/100000 binary64))
70711/100000
#s(literal 70711/100000 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ (* x -70711/100000) (/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
x
-70711/100000
#s(literal -70711/100000 binary64)
(/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x)
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)
(+ 1913510371/448100000 (/ -3648757816023/62748003125 x))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
-3648757816023/62748003125
#s(literal -3648757816023/62748003125 binary64)

localize148.0ms (1.4%)

Memory
-12.7MiB live, 385.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
accuracy99.9%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
accuracy99.8%
(/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x)
accuracy99.5%
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy99.7%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy99.9%
(-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x)
accuracy99.9%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
accuracy99.7%
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
accuracy99.9%
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
accuracy99.9%
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy99.8%
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
accuracy99.8%
(pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy86.8%
(/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))
Samples
84.0ms202×0valid
19.0ms54×0invalid
Compiler

Compiled 175 to 42 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
const: 40.0ms (47.1% of total)
ival-mult: 11.0ms (12.9% of total)
ival-div: 9.0ms (10.6% of total)
ival-add: 9.0ms (10.6% of total)
ival-pow2: 7.0ms (8.2% of total)
ival-pow: 6.0ms (7.1% of total)
ival-sub: 2.0ms (2.4% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-8.7MiB live, 30.7MiB allocated
Counts
16 → 192
Calls
Call 1
Inputs
#<alt (pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2)>
#<alt (/ 70711/100000 (pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2))>
#<alt (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2)>
#<alt (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)>
#<alt (+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)>
#<alt (* 70711/100000 (- (+ (* x -20191289437/10000000000) 230753/100000) x))>
#<alt (- (+ (* x -20191289437/10000000000) 230753/100000) x)>
#<alt (+ (* x -20191289437/10000000000) 230753/100000)>
#<alt (/ 70711/100000 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (+ (* x -70711/100000) (/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x))>
#<alt (/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x)>
#<alt (+ 1913510371/448100000 (/ -3648757816023/62748003125 x))>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))>
#<alt (+ (* x 4481/100000) 99229/100000)>
Outputs
#<alt 100000/230753>
#<alt (+ 100000/230753 (* 30191289437/53246947009 x))>
#<alt (+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x))))>
#<alt (+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x))))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x)>
#<alt (/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 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 (sqrt 100000/230753)>
#<alt (+ (sqrt 100000/230753) (* 30191289437/106493894018 (/ x (sqrt 100000/230753))))>
#<alt (+ (sqrt 100000/230753) (* x (+ (* 1/2 (/ (* x (- 4730460973492672/12286892763167777 (* 911513957868707776969/11340949463117016184324 (/ 1 (pow (sqrt 100000/230753) 2))))) (sqrt 100000/230753))) (* 30191289437/106493894018 (/ 1 (sqrt 100000/230753))))))>
#<alt (+ (sqrt 100000/230753) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1060196761744488379977/2835237365779254046081 (* 30191289437/106493894018 (/ (- 4730460973492672/12286892763167777 (* 911513957868707776969/11340949463117016184324 (/ 1 (pow (sqrt 100000/230753) 2)))) (pow (sqrt 100000/230753) 2))))) (sqrt 100000/230753))) (* 1/2 (/ (- 4730460973492672/12286892763167777 (* 911513957868707776969/11340949463117016184324 (/ 1 (pow (sqrt 100000/230753) 2)))) (sqrt 100000/230753))))) (* 30191289437/106493894018 (/ 1 (sqrt 100000/230753))))))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))>
#<alt (+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 825615888/20079361 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))>
#<alt (+ (* -155005469888505/179951233282 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -1)))) (+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 825615888/20079361 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 x)) (sqrt -1))>
#<alt (+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -825615888/20079361 (* (sqrt (/ 1 x)) (sqrt -1))) (* 27061/8962 (* (sqrt x) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -155005469888505/179951233282 (* (sqrt (/ 1 x)) (sqrt -1))) (* 825615888/20079361 (* (sqrt x) (sqrt -1)))) x)) (* 27061/8962 (* (sqrt x) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))>
#<alt (* -1 x)>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))>
#<alt (* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))>
#<alt 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 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 230753/100000>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -30191289437/10000000000 x))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))>
#<alt (* -30191289437/10000000000 x)>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))>
#<alt (* -20191289437/10000000000 x)>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))>
#<alt (* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 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 (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -3648757816023/62748003125 (pow x 2))>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))>
#<alt (/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))>
#<alt (/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))>
#<alt (* -70711/100000 x)>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))>
#<alt (* -70711/100000 x)>
#<alt (* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))>
#<alt (/ -3648757816023/62748003125 (pow x 2))>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))>
#<alt (/ 1913510371/448100000 x)>
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)>
#<alt (/ 1913510371/448100000 x)>
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))>
#<alt (* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)>
#<alt (/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)>
#<alt 1913510371/448100000>
#<alt (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))>
#<alt (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))>
#<alt (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))>
#<alt 1913510371/448100000>
#<alt (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))>
#<alt (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))>
#<alt (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt (/ -3648757816023/62748003125 x)>
#<alt 230753/100000>
#<alt (+ 230753/100000 (* -20191289437/10000000000 x))>
#<alt (+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))>
#<alt (+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))>
#<alt (/ 27061/4481 x)>
#<alt (/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)>
#<alt (/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)>
#<alt (/ 27061/4481 x)>
#<alt (* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))>
#<alt 99229/100000>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (+ 99229/100000 (* 4481/100000 x))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* 4481/100000 x)>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
#<alt (* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ -1 x)
1.0ms
x
@inf
(pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2)
1.0ms
x
@0
(pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2)
0.0ms
x
@-inf
(pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2)
0.0ms
x
@inf
(* 70711/100000 (- (+ (* x -20191289437/10000000000) 230753/100000) x))

rewrite409.0ms (3.7%)

Memory
15.7MiB live, 847.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 208×accelerator-lowering-fma.f32
5 208×accelerator-lowering-fma.f64
4 038×/-lowering-/.f32
4 038×/-lowering-/.f64
3 590×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040154
1234154
22055152
08276131
Stop Event
iter limit
node limit
Counts
16 → 517
Calls
Call 1
Inputs
(pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2)
(/ 70711/100000 (pow (pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2) 2))
(pow (- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x) -1/2)
(- (/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1)) x)
(+ (* x -2134856267379707/1000000000000000) 16316775383/10000000000)
(* 70711/100000 (- (+ (* x -20191289437/10000000000) 230753/100000) x))
(- (+ (* x -20191289437/10000000000) 230753/100000) x)
(+ (* x -20191289437/10000000000) 230753/100000)
(/ 70711/100000 (/ -1 x))
(/ -1 x)
(+ (* x -70711/100000) (/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x))
(/ (+ 1913510371/448100000 (/ -3648757816023/62748003125 x)) x)
(+ 1913510371/448100000 (/ -3648757816023/62748003125 x))
(/ -3648757816023/62748003125 x)
(/ (+ (* x 27061/100000) 230753/100000) (+ (* x (+ (* x 4481/100000) 99229/100000)) 1))
(+ (* x 4481/100000) 99229/100000)
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))
(pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)) (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x))) #s(literal -1/4 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 9846394441/10000000000 binary64) (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)))) (neg.f64 (-.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (fma.f64 (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64)) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))) (/.f64 #s(literal 9846394441/10000000000 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64)) (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 89975616641/1000000000000000 binary64) #s(literal 977047873985989/1000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal 9846394441/10000000000 binary64)) (*.f64 x #s(literal 444645149/10000000000 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 20079361/10000000000 binary64) #s(literal -9846394441/10000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 4481/100000 binary64) #s(literal -99229/100000 binary64))))

simplify350.0ms (3.2%)

Memory
-11.3MiB live, 393.1MiB allocated
Algorithm
egg-herbie
Rules
8 210×accelerator-lowering-fma.f32
8 210×accelerator-lowering-fma.f64
3 902×*-lowering-*.f32
3 902×*-lowering-*.f64
2 162×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03131432
18531364
222491285
354171278
081651178
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
100000/230753
(+ 100000/230753 (* 30191289437/53246947009 x))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x))))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x))))))
(/ -1 x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x)
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x))
(* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 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))))))
(sqrt 100000/230753)
(+ (sqrt 100000/230753) (* 30191289437/106493894018 (/ x (sqrt 100000/230753))))
(+ (sqrt 100000/230753) (* x (+ (* 1/2 (/ (* x (- 4730460973492672/12286892763167777 (* 911513957868707776969/11340949463117016184324 (/ 1 (pow (sqrt 100000/230753) 2))))) (sqrt 100000/230753))) (* 30191289437/106493894018 (/ 1 (sqrt 100000/230753))))))
(+ (sqrt 100000/230753) (* x (+ (* x (+ (* 1/2 (/ (* x (- 1060196761744488379977/2835237365779254046081 (* 30191289437/106493894018 (/ (- 4730460973492672/12286892763167777 (* 911513957868707776969/11340949463117016184324 (/ 1 (pow (sqrt 100000/230753) 2)))) (pow (sqrt 100000/230753) 2))))) (sqrt 100000/230753))) (* 1/2 (/ (- 4730460973492672/12286892763167777 (* 911513957868707776969/11340949463117016184324 (/ 1 (pow (sqrt 100000/230753) 2)))) (sqrt 100000/230753))))) (* 30191289437/106493894018 (/ 1 (sqrt 100000/230753))))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 825615888/20079361 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))
(+ (* -155005469888505/179951233282 (* (sqrt (/ 1 (pow x 9))) (/ 1 (sqrt -1)))) (+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 825615888/20079361 (* (sqrt (/ 1 (pow x 7))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))
(* (sqrt (/ 1 x)) (sqrt -1))
(+ (* -27061/8962 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1 (/ (+ (* -825615888/20079361 (* (sqrt (/ 1 x)) (sqrt -1))) (* 27061/8962 (* (sqrt x) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -155005469888505/179951233282 (* (sqrt (/ 1 x)) (sqrt -1))) (* 825615888/20079361 (* (sqrt x) (sqrt -1)))) x)) (* 27061/8962 (* (sqrt x) (sqrt -1)))) (pow x 3))) (* (sqrt (/ 1 x)) (sqrt -1)))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 30191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 30191289437/10000000000)))
(* -1 x)
(* x (- (* 27061/4481 (/ 1 (pow x 2))) 1))
(* x (- (* 27061/4481 (/ 1 (pow x 2))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* x (- (+ (* 27061/4481 (/ 1 (pow x 2))) (* 151724043800704/89975616641 (/ 1 (pow x 4)))) (+ 1 (/ 1651231776/20079361 (pow x 3)))))
(* -1 x)
(* -1 (* x (- 1 (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 1651231776/20079361 (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) (pow x 3)))) (* 27061/4481 (/ 1 (pow x 2))))))
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)))))
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)))))
230753/100000
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(+ 230753/100000 (* -30191289437/10000000000 x))
(* -30191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 30191289437/10000000000))
(* -30191289437/10000000000 x)
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 30191289437/10000000000 (* 230753/100000 (/ 1 x)))))
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* -20191289437/10000000000 x))
(* -20191289437/10000000000 x)
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* x (- (* 230753/100000 (/ 1 x)) 20191289437/10000000000))
(* -20191289437/10000000000 x)
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 x)))))
(* -1 (* x (- 20191289437/10000000000 (* 230753/100000 (/ 1 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)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -3648757816023/62748003125 (pow x 2))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))
(/ (- (* x (+ 1913510371/448100000 (* -70711/100000 (pow x 2)))) 3648757816023/62748003125) (pow x 2))
(* -70711/100000 x)
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(* -70711/100000 x)
(* -1 (* x (- 70711/100000 (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(/ -3648757816023/62748003125 (pow x 2))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/ 1913510371/448100000 x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/ 1913510371/448100000 x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(/ -3648757816023/62748003125 x)
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)
1913510371/448100000
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
1913510371/448100000
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
(/ -3648757816023/62748003125 x)
230753/100000
(+ 230753/100000 (* -20191289437/10000000000 x))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(/ 27061/4481 x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/ 27061/4481 x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
99229/100000
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(+ 99229/100000 (* 4481/100000 x))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* 4481/100000 x)
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
Outputs
100000/230753
#s(literal 100000/230753 binary64)
(+ 100000/230753 (* 30191289437/53246947009 x))
(fma.f64 #s(literal 30191289437/53246947009 binary64) x #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* 4730460973492672/12286892763167777 x))))
(fma.f64 x (fma.f64 x #s(literal 4730460973492672/12286892763167777 binary64) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))
(+ 100000/230753 (* x (+ 30191289437/53246947009 (* x (+ 4730460973492672/12286892763167777 (* 1060196761744488379977/2835237365779254046081 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1060196761744488379977/2835237365779254046081 binary64) #s(literal 4730460973492672/12286892763167777 binary64)) #s(literal 30191289437/53246947009 binary64)) #s(literal 100000/230753 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))) x)
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (* 27061/4481 (/ 1 (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x)
(/ (- (/ 1651231776/20079361 (pow x 3)) (+ 1 (+ (* 27061/4481 (/ 1 (pow x 2))) (* 155005469888505/89975616641 (/ 1 (pow x 4)))))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -155005469888505/89975616641 binary64) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1 (* 27061/4481 (/ 1 (pow x 2)))) (/ 1651231776/20079361 (pow x 3))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1651231776/20079361 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x)
(* -1 (/ (+ 1 (+ (* -1 (/ (- 1651231776/20079361 (* 155005469888505/89975616641 (/ 1 x))) (pow x 3))) (* 27061/4481 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1651231776/20079361 binary64) (/.f64 #s(literal -155005469888505/89975616641 binary64) x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -27061/4481 binary64) (*.f64 x x)))) x)
16316775383/10000000000
#s(literal 16316775383/10000000000 binary64)
(+ 16316775383/10000000000 (* -2134856267379707/1000000000000000 x))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* 134362287316698645903/100000000000000000000 x) 2134856267379707/1000000000000000)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(+ 16316775383/10000000000 (* x (- (* x (+ 134362287316698645903/100000000000000000000 (* -12692862305735843227608787/10000000000000000000000000 x))) 2134856267379707/1000000000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12692862305735843227608787/10000000000000000000000000 binary64) #s(literal 134362287316698645903/100000000000000000000 binary64)) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(* -70711/100000 x)
(*.f64 x #s(literal -70711/100000 binary64))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) 70711/100000))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* x (- (* 1913510371/448100000 (/ 1 (pow x 2))) (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3)))))
(fma.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1913510371/448100000 binary64) x))
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16316775383/10000000000
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230753/100000
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(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(* -1 (* x (- (+ 70711/100000 (/ 3648757816023/62748003125 (pow x 3))) (* 1913510371/448100000 (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 #s(literal -70711/100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(/ -3648757816023/62748003125 (pow x 2))
(/.f64 #s(literal -3648757816023/62748003125 binary64) (*.f64 x x))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) (pow x 2))
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(/ (- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x))) x)
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(/ 1913510371/448100000 x)
(/.f64 #s(literal 1913510371/448100000 binary64) x)
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(* -1 (/ (- (* 3648757816023/62748003125 (/ 1 x)) 1913510371/448100000) x))
(/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
(/ (- (* 1913510371/448100000 x) 3648757816023/62748003125) x)
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
1913510371/448100000
#s(literal 1913510371/448100000 binary64)
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
(- 1913510371/448100000 (* 3648757816023/62748003125 (/ 1 x)))
(+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
(/ -3648757816023/62748003125 x)
(/.f64 #s(literal -3648757816023/62748003125 binary64) x)
230753/100000
#s(literal 230753/100000 binary64)
(+ 230753/100000 (* -20191289437/10000000000 x))
(fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* 1900161040244073/1000000000000000 x) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x #s(literal 1900161040244073/1000000000000000 binary64) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(+ 230753/100000 (* x (- (* x (+ 1900161040244073/1000000000000000 (* -179503363065659419717/100000000000000000000 x))) 20191289437/10000000000)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -179503363065659419717/100000000000000000000 binary64) #s(literal 1900161040244073/1000000000000000 binary64)) #s(literal -20191289437/10000000000 binary64)) #s(literal 230753/100000 binary64))
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(/ (- 27061/4481 (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (* 1651231776/20079361 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(/ (- (+ 27061/4481 (/ 151724043800704/89975616641 (pow x 2))) (+ (* 1651231776/20079361 (/ 1 x)) (* 14315508183474457216/403180738168321 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x) (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 27061/4481 x)
(/.f64 #s(literal 27061/4481 binary64) x)
(* -1 (/ (- (* 1651231776/20079361 (/ 1 x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 151724043800704/89975616641 (/ 1 x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 #s(literal 151724043800704/89975616641 binary64) x) #s(literal -1651231776/20079361 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 14315508183474457216/403180738168321 (/ 1 x)) 151724043800704/89975616641) x)) 1651231776/20079361) x)) 27061/4481) x))
(/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 151724043800704/89975616641 binary64) (/.f64 #s(literal -14315508183474457216/403180738168321 binary64) x)) x) #s(literal -1651231776/20079361 binary64)) x)) x)
99229/100000
#s(literal 99229/100000 binary64)
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(+ 99229/100000 (* 4481/100000 x))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* 4481/100000 x)
(*.f64 x #s(literal 4481/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))
(* x (+ 4481/100000 (* 99229/100000 (/ 1 x))))
(fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))

eval101.0ms (0.9%)

Memory
10.4MiB live, 200.5MiB allocated
Compiler

Compiled 17 526 to 2 368 computations (86.5% saved)

prune87.0ms (0.8%)

Memory
6.3MiB live, 209.5MiB allocated
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New7027709
Fresh167
Picked325
Done066
Total70621727
Accuracy
100.0%
Counts
727 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
60.6%
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
47.5%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))
99.8%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
48.8%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
48.7%
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
60.6%
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
17.7%
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -70711/100000 binary64) #s(literal 1913510371/448100000 binary64)) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
26.3%
(/.f64 (fma.f64 #s(literal -70711/100000 binary64) (*.f64 x x) #s(literal 1913510371/448100000 binary64)) x)
77.8%
(/.f64 (/.f64 #s(literal 70711/100000 binary64) (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)))
47.4%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))) #s(literal -70711/100000 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
77.3%
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
48.6%
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
78.0%
(/.f64 #s(literal 70711/100000 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -3/4 binary64))))
48.7%
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
26.2%
(*.f64 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))) (/.f64 #s(literal 70711/100000 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
48.6%
(*.f64 x #s(literal -70711/100000 binary64))
60.6%
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
47.5%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
48.7%
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
53.4%
#s(literal 16316775383/10000000000 binary64)
Compiler

Compiled 905 to 329 computations (63.6% saved)

regimes57.0ms (0.5%)

Memory
-16.5MiB live, 59.6MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 #s(literal -70711/100000 binary64) (*.f64 x x) #s(literal 1913510371/448100000 binary64)) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1913510371/448100000 binary64)) x)
(*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 70711/100000 binary64) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -70711/100000 binary64) #s(literal 1913510371/448100000 binary64)) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 #s(literal 1913510371/10000000000 binary64) x) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal 70711/100000 binary64))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 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 (fma.f64 x (neg.f64 x) (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x))) (/.f64 #s(literal 70711/100000 binary64) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x))))
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 732297721/20079361 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 #s(literal 27061/4481 binary64) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 x (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))) #s(literal -70711/100000 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) #s(literal 70711/100000 binary64)) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))) #s(literal 70711/100000 binary64)))
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) #s(literal 5000045521/10000000000 binary64))) (-.f64 (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) (*.f64 x #s(literal -70711/100000 binary64))))
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 70711/100000 binary64) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 70711/100000 binary64) (*.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/4 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -3/4 binary64))))
(/.f64 (/.f64 #s(literal 70711/100000 binary64) (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 27061/100000 binary64) #s(literal 230753/100000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
Outputs
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
Calls

3 calls:

12.0ms
(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
11.0ms
x
10.0ms
(*.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)

regimes45.0ms (0.4%)

Memory
13.7MiB live, 52.2MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 #s(literal -70711/100000 binary64) (*.f64 x x) #s(literal 1913510371/448100000 binary64)) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1913510371/448100000 binary64)) x)
(*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 70711/100000 binary64) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -70711/100000 binary64) #s(literal 1913510371/448100000 binary64)) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 #s(literal 1913510371/10000000000 binary64) x) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
Outputs
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))
Calls

3 calls:

31.0ms
x
6.0ms
(-.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)
6.0ms
(*.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
99.5%3x
99.5%3(*.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))
99.5%3(-.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)

regimes26.0ms (0.2%)

Memory
-26.3MiB live, 67.4MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 #s(literal -70711/100000 binary64) (*.f64 x x) #s(literal 1913510371/448100000 binary64)) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1913510371/448100000 binary64)) x)
(*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 70711/100000 binary64) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (+.f64 #s(literal 1913510371/448100000 binary64) (/.f64 #s(literal -3648757816023/62748003125 binary64) x)) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 27061/4481 binary64) (/.f64 #s(literal -1651231776/20079361 binary64) x)) x) x))
(/.f64 (fma.f64 x (fma.f64 (*.f64 x x) #s(literal -70711/100000 binary64) #s(literal 1913510371/448100000 binary64)) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))
(fma.f64 #s(literal -70711/100000 binary64) x (/.f64 (*.f64 #s(literal 1913510371/10000000000 binary64) x) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
Outputs
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))
Calls

3 calls:

11.0ms
(*.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))
7.0ms
x
6.0ms
(-.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)
Results
AccuracySegmentsBranch
99.4%3x
99.4%3(*.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))
99.4%3(-.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)

regimes16.0ms (0.1%)

Memory
30.3MiB live, 30.3MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
(/.f64 #s(literal 70711/100000 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 #s(literal -70711/100000 binary64) (*.f64 x x) #s(literal 1913510371/448100000 binary64)) x)
(/.f64 (fma.f64 x (*.f64 x #s(literal -70711/100000 binary64)) #s(literal 1913510371/448100000 binary64)) x)
(*.f64 #s(literal 70711/100000 binary64) (/.f64 (-.f64 #s(literal 27061/4481 binary64) (*.f64 x x)) x))
(fma.f64 (/.f64 #s(literal 27061/4481 binary64) x) #s(literal 70711/100000 binary64) (*.f64 (neg.f64 x) #s(literal 70711/100000 binary64)))
Outputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))
Calls

3 calls:

5.0ms
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
99.3%3x
99.3%3(*.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))
99.3%3(-.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)

regimes27.0ms (0.2%)

Memory
-14.7MiB live, 24.3MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
Outputs
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
Calls

3 calls:

19.0ms
(*.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))
4.0ms
x
3.0ms
(-.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)
Results
AccuracySegmentsBranch
99.3%3x
99.3%3(*.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))
99.3%3(-.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%)

Memory
-14.0MiB live, 24.9MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
Outputs
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))
Calls

3 calls:

3.0ms
x
3.0ms
(*.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))
3.0ms
(-.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)
Results
AccuracySegmentsBranch
99.3%3x
99.3%3(*.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))
99.3%3(-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x)
Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes10.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (-.f64 (fma.f64 x #s(literal -20191289437/10000000000 binary64) #s(literal 230753/100000 binary64)) x))
Outputs
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64))
(*.f64 x #s(literal -70711/100000 binary64))
Calls

3 calls:

4.0ms
x
3.0ms
(-.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)
3.0ms
(*.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
99.1%3x
99.1%3(*.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))
99.1%3(-.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)

regimes11.0ms (0.1%)

Memory
-19.7MiB live, 20.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(fma.f64 #s(literal -70711/100000 binary64) x (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
(fma.f64 x #s(literal -70711/100000 binary64) (fma.f64 x #s(literal -1427746267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64)))
Outputs
(*.f64 x #s(literal -70711/100000 binary64))
(*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64)))
(*.f64 x #s(literal -70711/100000 binary64))
Calls

3 calls:

3.0ms
x
3.0ms
(-.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)
3.0ms
(*.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
98.9%3x
98.9%3(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
98.9%3(-.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)

regimes7.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(fma.f64 x #s(literal -2134856267379707/1000000000000000 binary64) #s(literal 16316775383/10000000000 binary64))
Outputs
(*.f64 x #s(literal -70711/100000 binary64))
(fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64))
(*.f64 x #s(literal -70711/100000 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
(*.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))
2.0ms
(-.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)
Results
AccuracySegmentsBranch
98.9%3x
98.9%3(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
98.9%3(-.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)

regimes5.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
Outputs
(*.f64 x #s(literal -70711/100000 binary64))
#s(literal 16316775383/10000000000 binary64)
(*.f64 x #s(literal -70711/100000 binary64))
Calls

3 calls:

2.0ms
(*.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))
1.0ms
(-.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)
1.0ms
x
Results
AccuracySegmentsBranch
98.5%3x
98.5%3(*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x))
98.5%3(-.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)

regimes4.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
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

3 calls:

1.0ms
(*.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))
1.0ms
(-.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)
1.0ms
x
Results
AccuracySegmentsBranch
53.4%1x
53.4%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))
53.4%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)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.3075300000006247
375.2036213065766
0.0ms
-24.52586116652953
2.307522599767242
Compiler

Compiled 23 to 20 computations (13% saved)

simplify17.0ms (0.2%)

Memory
-3.3MiB live, 34.5MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
18×+-commutative_binary64
14×if-if-or-not_binary32
12×sub-neg_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070506
1100506
2113506
3119506
4123506
5124506
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
#s(literal 16316775383/10000000000 binary64)
Outputs
(fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64))))) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/10000000000 binary64) #s(literal 16316775383/10000000000 binary64)) (*.f64 x (fma.f64 x #s(literal 4481/100000 binary64) #s(literal 99229/100000 binary64)))))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x))) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 (fma.f64 x #s(literal 1913510371/448100000 binary64) #s(literal -3648757816023/62748003125 binary64)) (*.f64 x x)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (-.f64 (/.f64 #s(literal 1913510371/448100000 binary64) x) (*.f64 x #s(literal 70711/100000 binary64)))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 #s(literal 70711/100000 binary64) (-.f64 (/.f64 #s(literal 27061/4481 binary64) x) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (fma.f64 x #s(literal -70711/100000 binary64) (/.f64 #s(literal 1913510371/448100000 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 x (fma.f64 x #s(literal 134362287316698645903/100000000000000000000 binary64) #s(literal -2134856267379707/1000000000000000 binary64)) #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (*.f64 #s(literal 70711/100000 binary64) (fma.f64 x #s(literal -30191289437/10000000000 binary64) #s(literal 230753/100000 binary64))) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) (fma.f64 #s(literal -2134856267379707/1000000000000000 binary64) x #s(literal 16316775383/10000000000 binary64)) (*.f64 x #s(literal -70711/100000 binary64))))
(if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal -20 binary64)) (*.f64 x #s(literal -70711/100000 binary64)) (if (<=.f64 (-.f64 (/.f64 (+.f64 #s(literal 230753/100000 binary64) (*.f64 x #s(literal 27061/100000 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 99229/100000 binary64) (*.f64 x #s(literal 4481/100000 binary64)))))) x) #s(literal 4 binary64)) #s(literal 16316775383/10000000000 binary64) (*.f64 x #s(literal -70711/100000 binary64))))
#s(literal 16316775383/10000000000 binary64)

soundness1.5s (13.4%)

Memory
24.7MiB live, 1 163.9MiB allocated
Rules
9 924×accelerator-lowering-fma.f32
9 924×accelerator-lowering-fma.f64
9 072×accelerator-lowering-fma.f32
9 072×accelerator-lowering-fma.f64
8 210×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03131432
18531364
222491285
354171278
081651178
033123
1211123
21858123
09213110
033154
1210148
21744148
08428123
01659
19359
281559
0857949
0136500
1369492
2855484
32060468
45211468
08102417
01471143
13831126
28781118
320951058
455211058
08127971
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 737 to 218 computations (70.4% saved)

preprocess71.0ms (0.6%)

Memory
-12.1MiB live, 144.9MiB allocated
Compiler

Compiled 1 126 to 172 computations (84.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...